{"id":3893,"date":"2022-02-06T11:05:46","date_gmt":"2022-02-06T11:05:46","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3893"},"modified":"2022-03-01T17:43:05","modified_gmt":"2022-03-01T17:43:05","slug":"how-to-add-fractions","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/how-to-add-fractions\/","title":{"rendered":"How to Add Fractions"},"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″][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>How to Add Fractions<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]When adding fractions, the first thing to check is if the denominators are the same.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/add-like-fractions\"><strong>To add like fractions:<\/strong><\/a><br \/>\n1. Add all the numerators.<br \/>\n2. The denominator stays the same.<br \/>\n3. Simplify the answer by dividing the numerator and the denominator by their greatest common factor.<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/add-unlike-fractions-without-models\"><strong>To add unlike fractions:<\/strong><\/a><br \/>\n1. Find an equivalent fraction with a common denominator. To do this, find the least common multiple of the two denominators.<br \/>\n2. Rewrite the fractions with the common denominator.<br \/>\n3. Add all numerators. The denominator stays the same.<br \/>\n4. Simplify, if needed, by dividing the numerator and the denominator by their greatest common factor.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<span style=\"color: #16a085;\"><strong>Add. Write in the simplest form.<br \/>\n<img style=\"margin-top: 10px; margin-bottom: 0px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{1}{3}+&space;\\frac{3}{6}\" alt=\"\\fn_phv \\frac{1}{3}+ \\frac{3}{6}\" align=\"absmiddle\" \/><br \/>\n<\/strong><\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]1. If the denominators are not the same, find an equivalent fraction with a common denominator. (The denominators in this problem are <strong>3<\/strong> and <strong>6<\/strong>.)<br \/>\nTo do this, find the least common multiple of the two denominators.<br \/>\nSome multiples for the number <strong>3 are: 3, 6, 9, 12<\/strong><br \/>\nSome multiples for the number <strong>6 are: 6, 12, 18, 24<\/strong><br \/>\nThe least common multiple for <strong>3 and 6 is 6.<\/strong><br \/>\n2. Change the numerators with the common denominator<strong> 6<\/strong>.<br \/>\nIn order to rewrite <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Red}&space;\\frac{1}{3}}\" alt=\"\\fn_phv {\\color{Red} \\frac{1}{3}}\" align=\"absmiddle\" \/>\u00a0so it has the common denominator <strong>6<\/strong>, multiply the numerator and denominator by the factor <strong>2<\/strong>.<br \/>\n<img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Red}&space;\\frac{1\\times&space;2}{3\\times&space;2}&space;=\\frac{2}{6}}\" alt=\"\\fn_phv {\\color{Red} \\frac{1\\times 2}{3\\times 2} =\\frac{2}{6}}\" align=\"absmiddle\" \/><br \/>\n<img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Red}&space;\\frac{3}{6}}\" alt=\"\\fn_phv {\\color{Red} \\frac{3}{6}}\" align=\"absmiddle\" \/> already has the common denominator <strong>6<\/strong>, so it doesn\u2019t need to be rewritten.<br \/>\n3. Add all the numerators. The denominator stays the same.<br \/>\n<img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Red}&space;\\frac{2}{6}+\\frac{3}{6}=\\frac{5}{6}}\" alt=\"\\fn_phv {\\color{Red} \\frac{2}{6}+\\frac{3}{6}=\\frac{5}{6}}\" align=\"absmiddle\" \/><br \/>\n4. Simplify, if needed. <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Red}&space;\\frac{5}{6}}\" alt=\"\\fn_phv {\\color{Red} \\frac{5}{6}}\" align=\"absmiddle\" \/>\u00a0is already in simplest form.[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice How to Add Fractions[\/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><span style=\"color: #16a085;\"><strong>Add. Write the sum.<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/add-like-fractions\"><img loading=\"lazy\" class=\"alignnone wp-image-3903 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-31.png\" alt=\"How to Add Fractions Example - Practice Problem 1\" width=\"295\" height=\"101\" \/><\/a><\/p>\n[\/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\/add-like-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><span style=\"color: #16a085;\"><strong>Korbin spent <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;\\frac{2}{9}}\" alt=\"\\fn_phv {\\color{Teal} \\frac{2}{9}}\" align=\"absmiddle\" \/> of an hour biking and <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;\\frac{5}{9}}\" alt=\"\\fn_phv {\\color{Teal} \\frac{5}{9}}\" align=\"absmiddle\" \/>\u00a0of an hour jogging. How much time did he spend on both activities altogether?<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/add-like-fractions\"><img loading=\"lazy\" class=\"alignnone wp-image-3896 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/12-21.png\" alt=\"How to Add Fractions Example - Practice Problem 2\" width=\"98\" height=\"68\" \/><\/a><\/p>\n[\/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\/add-like-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><span style=\"color: #16a085;\"><strong>Add.<\/strong><\/span><br \/>\nWrite in simplest form.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/add-unlike-fractions-without-models\"><img loading=\"lazy\" class=\"alignnone wp-image-3898 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/13-19.png\" alt=\"How to Add Fractions Example - Practice Problem 3\" width=\"140\" height=\"67\" \/><\/a><\/p>\n[\/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\/add-unlike-fractions-without-models”][\/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><span style=\"color: #16a085;\"><strong>Miley rode her bike for <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;\\frac{2}{5}}\" alt=\"\\fn_phv {\\color{Teal} \\frac{2}{5}}\" align=\"absmiddle\" \/> of a kilometer on Monday and <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;\\frac{3}{7}}\" alt=\"\\fn_phv {\\color{Teal} \\frac{3}{7}}\" align=\"absmiddle\" \/>\u00a0of a kilometer on Tuesday. How many kilometers did she ride altogether?<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/add-unlike-fractions-without-models\"><img loading=\"lazy\" class=\"alignnone wp-image-3901 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/14-12.png\" alt=\"How to Add Fractions Example - Practice Problem 4\" width=\"148\" height=\"76\" \/><\/a><\/p>\n[\/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\/add-unlike-fractions-without-models”][\/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]<strong>Numerator<\/strong> – the number above the line in a common fraction showing how many of the parts indicated by the denominator there are.<\/p>\n<p><strong>Denominator<\/strong> – the bottom number in a\u00a0fraction\u00a0that shows the number of equal parts an item is divided into. It is the divisor of a\u00a0fraction.<\/p>\n<p><strong>Proper Fraction<\/strong> – a fraction that is less than one, with the numerator less than the denominator<\/p>\n<p><strong>Improper Fraction<\/strong> – a fraction that is greater than one, with the numerator bigger than the denominator<\/p>\n<p><strong>Like Fractions<\/strong>\u2013 fractions with denominators that are same.<\/p>\n<p><strong>Unlike Fractions<\/strong>\u2013 fractions with denominators that are different.[\/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\/5th-grade\/identify-factors\"><span style=\"color: #ed5600;\">Identify Factors<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/identify-multiples\"><span style=\"color: #ed5600;\">Identify Multiples<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/greatest-common-factor\"><span style=\"color: #ed5600;\">Greatest Common Factor<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/prime-and-composite-numbers\"><span style=\"color: #ed5600;\">Prime and Composite Numbers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/equivalent-fractions\"><span style=\"color: #ed5600;\">Equivalent Fractions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/simplifying-fractions\"><span style=\"color: #ed5600;\">Simplifying fractions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/least-common-multiple-l-c-m\"><span style=\"color: #ed5600;\">Least common multiple (L.C.M)<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/Compare-Fractions\"><span style=\"color: #ed5600;\">Compare Fractions<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635232660701{border-top-width: 6px !important;border-right-width: 6px !important;border-bottom-width: 6px !important;border-left-width: 6px !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\/add-and-subtract-mixed-numbers\"><span style=\"color: #333399;\">Add and Subtract Mixed Numbers<\/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><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/multiply-fractions\"><span style=\"color: #333399;\">Multiply Fractions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/multiply-mixed-numbers\"><span style=\"color: #333399;\">Multiply Mixed Numbers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/divide-fractions\"><span style=\"color: #333399;\">Divide Fractions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/divide-mixed-numbers\"><span style=\"color: #333399;\">Divide Mixed Numbers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/word-problems-add-and-subtract-fractions-\"><span style=\"color: #333399;\">Word Problems (Add and Subtract Fractions)<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/add-and-subtract-mixed-numbers\"><span style=\"color: #333399;\">Add and Subtract Mixed Numbers<\/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=”Addition” color=”success” link=”url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Faddition|title:Addition||”][vc_btn title=”Fractions” color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Ffractions|title:Fractions||”][vc_btn title=”Multiplication” color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fmultiplication|title:Multiplication||”][vc_btn title=”Numbers theory” color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fnumbers-theory|title:Numbers%20theory||”][vc_btn title=”Word Problems” color=”blue” link=”url:https%3A%2F%2Foryxlearning.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″][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] How to Add Fractions [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]When adding fractions, the first thing to check is if the denominators are the same.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]To add like fractions: 1. Add all the numerators. 2. The denominator […]<\/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>How to Add Fractions | Oryx Learning<\/title>\n<meta name=\"description\" content=\"When adding fractions, the first thing to check is if the denominators are the same....\" \/>\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\/how-to-add-fractions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How to Add Fractions\" \/>\n<meta property=\"og:description\" content=\"When adding fractions, the first thing to check is if the 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