{"id":4111,"date":"2022-01-30T10:36:38","date_gmt":"2022-01-30T10:36:38","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=4111"},"modified":"2022-01-30T10:36:38","modified_gmt":"2022-01-30T10:36:38","slug":"fraction-benchmarks","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/fraction-benchmarks\/","title":{"rendered":"Fraction Benchmarks"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>Fraction Benchmarks<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]In math, benchmark fractions can be defined as common that we can measure or judge against, when measuring, comparing or ordering other fractions.<\/p>\n<p>Benchmark fractions are easy to visualize and identify, and thus, help in estimating the parts. When comparing two fractions with different numerators and denominators, we can either make their denominators common or compare them to a benchmark fraction such as <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{1}{2}\" alt=\"\\fn_phv \\frac{1}{2}\" align=\"absmiddle\" \/>.<\/p>\n<p>Benchmark fractions are most helpful when fractions to be compared are placed on a number line against the benchmarks.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]<strong><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rounding-fractions\">To round a fraction<\/a> to the nearest half:<\/strong><br \/>\n1. Draw a number line with zero to the far left and the number 1 to the far right.<br \/>\n2. Divide the number line into parts of a whole. The parts are the same as the denominator in the fraction that is being rounded.<br \/>\n3. Number the parts.<br \/>\n4. Find the fraction that is being rounded on the number line.<br \/>\n5. Determine if the fraction is closest to the benchmarks 0, <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{1}{2}\" alt=\"\\fn_phv \\frac{1}{2}\" align=\"absmiddle\" \/>, or 1.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/rounding-fractions-and-mixed-numbers\"><strong>To round a mixed number:<\/strong><\/a><br \/>\n1. Determine what whole numbers the given number is between.<br \/>\n2. Convert the half so it has a common denominator as the fractional part of the given number.<br \/>\n3. Determine if the given number is closer to the lesser whole number, a half, or the greater whole number.<br \/>\n4. Round to the closest number.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">Round <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;\\frac{7}{8}}\" alt=\"\\fn_phv {\\color{Teal} \\frac{7}{8}}\" align=\"absmiddle\" \/> to the nearest half.<\/span><\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]To round a fraction to the nearest half:<br \/>\n1. Draw a number line with zero to the far left and the number 1 to the far right.<br \/>\n2. Divide the number line into parts of a whole. The parts are the same as the denominator in the fraction that is being rounded. (In this case, divide the number line into 8 parts).<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/rounding-fractions-and-mixed-numbers\"><img loading=\"lazy\" class=\"alignnone \" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1637842487372.svg\" width=\"410\" height=\"39\" \/><\/a><\/p>\n<p>3. Number the parts <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Red}&space;\\frac{1}{8}}\" alt=\"\\fn_phv {\\color{Red} \\frac{1}{8}}\" align=\"absmiddle\" \/> through <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Red}&space;\\frac{8}{8}}\" alt=\"\\fn_phv {\\color{Red} \\frac{8}{8}}\" align=\"absmiddle\" \/>. Notice <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Red}&space;\\frac{8}{8}}\" alt=\"\\fn_phv {\\color{Red} \\frac{8}{8}}\" align=\"absmiddle\" \/> is the same as one whole.<br \/>\n4. Find the fraction that is being rounded on the number line.<br \/>\n5. Determine if the fraction is closest to the benchmarks 0, <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{1}{2}\" alt=\"\\fn_phv \\frac{1}{2}\" align=\"absmiddle\" \/>, or 1.<\/p>\n<p><img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Red}&space;\\frac{7}{8}}\" alt=\"\\fn_phv {\\color{Red} \\frac{7}{8}}\" align=\"absmiddle\" \/>\u00a0is closest to 1<\/p>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Fraction Benchmarks[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><strong><span style=\"color: #16a085;\">Round <img src=\"https:\/\/latex.codecogs.com\/gif.latex?\\fn_phv&space;{\\color{Teal}&space;\\frac{2}{6}}\" alt=\"\\fn_phv {\\color{Teal} \\frac{2}{6}}\" align=\"absmiddle\" \/>\u00a0to the nearest half.<\/span><\/strong><br \/>\nUse the number line for reference.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rounding-fractions\"><img loading=\"lazy\" class=\"alignnone wp-image-4116 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-32.png\" alt=\"\" width=\"356\" height=\"98\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-32.png 356w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-32-300x83.png 300w\" sizes=\"(max-width: 356px) 100vw, 356px\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rounding-fractions”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">Round <img src=\"https:\/\/latex.codecogs.com\/gif.latex?\\fn_phv&space;{\\color{Teal}&space;\\frac{4}{7}}\" alt=\"\\fn_phv {\\color{Teal} \\frac{4}{7}}\" align=\"absmiddle\" \/> to the nearest half.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rounding-fractions\"><img loading=\"lazy\" class=\"alignnone wp-image-4118 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/12-22.png\" alt=\"\" width=\"296\" height=\"62\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rounding-fractions”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">Round <img src=\"https:\/\/latex.codecogs.com\/gif.latex?\\fn_phv&space;{\\color{Teal}&space;9\\frac{5}{11}}\" alt=\"\\fn_phv {\\color{Teal} 9\\frac{5}{11}}\" align=\"absmiddle\" \/>\u00a0to the nearest half.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/rounding-fractions-and-mixed-numbers\"><img loading=\"lazy\" class=\"alignnone wp-image-4121 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/13-20.png\" alt=\"\" width=\"243\" height=\"79\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/rounding-fractions-and-mixed-numbers”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 4<\/h5>\n<p><strong><span style=\"color: #16a085;\">Dahlia needs to bake 15 batches of cookies. She has made 13 so far. About what fraction of the batches of cookies has she made so far?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/word-problems-estimate-fractions\"><img loading=\"lazy\" class=\"alignnone wp-image-4123 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/14-13.png\" alt=\"\" width=\"286\" height=\"64\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/word-problems-estimate-fractions”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 5<\/h5>\n<p><strong><span style=\"color: #16a085;\">Bruce has to walk <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;5\\frac{4}{7}}\" alt=\"\\fn_phv {\\color{Teal} 5\\frac{4}{7}}\" align=\"absmiddle\" \/> meters to reach the nearest bus stop. To the nearest half meter, how much does Bruce have to walk?<\/span><\/strong><br \/>\nWrite your answer as a whole number or mixed number in the simplest form.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/word-problems-estimate-fractions\"><img loading=\"lazy\" class=\"alignnone wp-image-4125 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/15-2.png\" alt=\"\" width=\"148\" height=\"65\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/word-problems-estimate-fractions”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]A <strong>fraction<\/strong> is a part of a whole.<\/p>\n<p><strong>Benchmark<\/strong> – a standard or point of reference against which things may be compared.<\/p>\n<p><strong>Fraction Benchmarks<\/strong> – common fractions that we can measure or judge against, when measuring, comparing or ordering other fractions. A benchmark fraction is easy to visualize and helps in estimating the parts of a whole.<br \/>\nThe benchmark fractions are 0, <img style=\"margin-top: 4px; margin-bottom: 1px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{1}{2}\" alt=\"\\fn_phv \\frac{1}{2}\" align=\"absmiddle\" \/>, and 1.<br \/>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/fractions-part-of-a-whole\"><span style=\"color: #ed5600;\">Fractions – Part of a Whole<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/graph-unit-fractions-on-a-number-line\"><span style=\"color: #ed5600;\">Graph Unit Fractions on a Number Line<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/comparing-fractions\"><span style=\"color: #ed5600;\">Comparing Fractions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/read-mixed-number-on-a-number-line\"><span style=\"color: #ed5600;\">Read Mixed Number on a Number Line<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635318672488{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/compare-fractions-with-unlike-denominators\"><span style=\"color: #333399;\">Compare Fractions with Unlike Denominators<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/add-and-subtract-fractions-with-like-denominators\"><span style=\"color: #333399;\">Add and Subtract Fractions with Like Denominators<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/estimate-sums-and-difference-of-mixed-numbers\"><span style=\"color: #333399;\">Estimate Sums and Difference of Mixed Numbers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/estimate-products-of-fractions\"><span style=\"color: #333399;\">Estimate Products of Fractions<\/span><\/a>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||”][vc_btn title=”Grade 8″ color=”mulled-wine” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Comparing” color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fcomparing|title:Comparing||”][vc_btn title=”Fractions” color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Ffractions|title:Fractions||”][vc_btn title=”Word Problems” color=”violet” link=”url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Fword-problems|title:Word%20Problems||”][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Fraction Benchmarks [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]In math, benchmark fractions can be defined as common that we can measure or judge against, when measuring, comparing or ordering other fractions. Benchmark fractions are […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Fraction Benchmarks | Oryx Learning<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/fraction-benchmarks\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fraction Benchmarks\" \/>\n<meta property=\"og:description\" content=\"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Fraction Benchmarks [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]In math, benchmark fractions can be defined as common that we can measure or judge against, when measuring, comparing or ordering other fractions. 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