{"id":2310,"date":"2021-10-07T08:35:40","date_gmt":"2021-10-07T08:35:40","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=2310"},"modified":"2022-02-28T15:50:15","modified_gmt":"2022-02-28T15:50:15","slug":"adding-mixed-numbers-with-unlike-denominators","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/adding-mixed-numbers-with-unlike-denominators\/","title":{"rendered":"Adding mixed numbers with unlike denominators"},"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<h2>Adding mixed numbers with unlike denominators<\/h2>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]A mixed number is one that combines an integer and a fraction. They can be expressed initially as improper fractions and then broken down into their mixed number form.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]The steps for <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/add-and-subtract-mixed-numbers\">adding mixed numbers:<\/a><br \/>\n1. Since the denominators are not the same, find the LCD and write equivalent fractions.<br \/>\n2. Add the fractions. If the result is an improper fraction, rename as a mixed number.<br \/>\n3. Add the whole numbers.<br \/>\n4. Write your answer in lowest terms.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">Add. Write in the simplest form.<\/span><\/strong><br \/>\n<img style=\"margin-top: 10px; margin-bottom: 0px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;5\\frac{3}{5}+2\\frac{1}{2}\" alt=\"\\fn_phv 5\\frac{3}{5}+2\\frac{1}{2}\" align=\"absmiddle\" \/>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]1. Since the denominators are not the same, find the least common denominator (LCD) and write equivalent fractions.<br \/>\nLCD of 2 and 5 = 10<br \/>\n<img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{3\\times&space;2}{5\\times&space;2}=\\frac{6}{10}\" alt=\"\\fn_phv \\frac{3\\times 2}{5\\times 2}=\\frac{6}{10}\" align=\"absmiddle\" \/> \u00a0 \u00a0 <img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{1\\times&space;5}{2\\times&space;5}=\\frac{5}{10}\" alt=\"\\fn_phv \\frac{1\\times 5}{2\\times 5}=\\frac{5}{10}\" align=\"absmiddle\" \/><br \/>\n2. Add the fractions. If the result is an improper fraction, rename as a mixed number<br \/>\n<img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{6}{10}+\\frac{5}{10}=\\frac{11}{10}=1\\frac{1}{10}\" alt=\"\\fn_phv \\frac{6}{10}+\\frac{5}{10}=\\frac{11}{10}=1\\frac{1}{10}\" align=\"absmiddle\" \/><br \/>\n3. Add the whole numbers.<br \/>\n<img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;5+2+1=8\" alt=\"\\fn_phv 5+2+1=8\" align=\"absmiddle\" \/><br \/>\n4. Write your answer in the lowest terms.<br \/>\n<img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Red}&space;8\\frac{1}{10}}\" alt=\"\\fn_phv {\\color{Red} 8\\frac{1}{10}}\" align=\"absmiddle\" \/>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Adding Mixed Numbers with Unlike Denominators[\/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;\">Complete the problem.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/add-and-subtract-mixed-numbers\"><img loading=\"lazy\" class=\"alignnone wp-image-2743 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/1-8n.png\" alt=\"\" width=\"215\" height=\"246\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/add-and-subtract-mixed-numbers”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”12px”][vc_empty_space height=”12px”][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;\">Add. Write in the simplest form.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/add-and-subtract-mixed-numbers\"><img loading=\"lazy\" class=\"alignnone wp-image-2747 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/2-5n-2.png\" alt=\"\" width=\"246\" height=\"76\" \/><\/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\/add-and-subtract-mixed-numbers”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”4px”][vc_row_inner el_class=”boxxborder” css=”.vc_custom_1633368082710{margin-top: 30px !important;}”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">Add or Subtract. Write the answer as a whole number, simplified fraction, or mixed number.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/add-and-subtract-mixed-numbers\"><img loading=\"lazy\" class=\"alignnone wp-image-3927 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/1-44.png\" alt=\"\" width=\"130\" height=\"139\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/add-and-subtract-mixed-numbers”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”12px”][vc_empty_space height=”12px”][\/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.<\/p>\n<p><strong>Mixed Number<\/strong> – a combination of a whole\u00a0number\u00a0and a\u00a0fraction.[\/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\/6th-grade\/add-and-subtract-fractions-with-unlike-denominators\"><span style=\"color: #ed5600;\">Add and Subtract Fractions with Unlike Denominators<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/add-and-subtract-unlike-fractions\"><span style=\"color: #ed5600;\">Add and Subtract Unlike Fractions<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635231673790{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\/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\/add-and-subtract-fractions-with-unlike-denominators\"><span style=\"color: #333399;\">Add and Subtract Fractions with Unlike Denominators<\/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\/7th-grade\/multiply-rational-numbers\"><span style=\"color: #333399;\">Multiply Rational Numbers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/divide-rational-numbers\"><span style=\"color: #333399;\">Divide Rational 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” 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el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Addition” color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Faddition|title:Addition||”][vc_btn title=”Division” color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fdivision|title:Division||”][vc_btn title=”Fractions” color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Ffractions|title:Fractions||”][vc_btn title=”Multiplication” color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fmultiplication|title:Multiplication||”][vc_btn title=”Word Problems” color=”success” 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] Adding mixed numbers with unlike denominators [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]A mixed number is one that combines an integer and a fraction. They can be expressed initially as improper fractions and then broken down into […]<\/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>Adding mixed numbers with unlike denominators | Oryx Learning<\/title>\n<meta name=\"description\" content=\"To subtract or add mixed numbers that have different denominators We first convert the fractions into equivalent fractions using the LCD....\" \/>\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\/adding-mixed-numbers-with-unlike-denominators\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" 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