{"id":3739,"date":"2022-02-04T17:50:27","date_gmt":"2022-02-04T17:50:27","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3739"},"modified":"2022-03-02T18:21:52","modified_gmt":"2022-03-02T18:21:52","slug":"multiplying-mixed-numbers-word-problems","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/multiplying-mixed-numbers-word-problems\/","title":{"rendered":"Multiplying Mixed Numbers Word Problems"},"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>Multiplying Mixed Numbers Word Problems<\/h5>\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]1. Change all the <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/write-mixed-number-as-improper-fraction\">mixed numbers to improper fractions<\/a>.<br \/>\n2. Reduce the fractions.<br \/>\n3. Cross out any common factors.<br \/>\n4. Multiply the numerators together and the denominators together.<br \/>\n5. Reduce the answer.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">Donald ate <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;3\\frac{2}{3}}\" alt=\"\\fn_phv {\\color{Teal} 3\\frac{2}{3}}\" align=\"absmiddle\" \/> pizza in a week. Liam ate <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;2\\frac{1}{4}}\" alt=\"\\fn_phv {\\color{Teal} 2\\frac{1}{4}}\" align=\"absmiddle\" \/>\u00a0times that amount in a week. How much pizza did Liam eat?<\/span><\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]Change each mixed number to an improper fraction.<br \/>\n<img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;3\\frac{2}{3}={\\color{Red}&space;\\frac{11}{3}}\" alt=\"\\fn_phv 3\\frac{2}{3}={\\color{Red} \\frac{11}{3}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0\u00a0 <img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;2\\frac{1}{4}={\\color{Red}&space;\\frac{9}{4}}\" alt=\"\\fn_phv 2\\frac{1}{4}={\\color{Red} \\frac{9}{4}}\" align=\"absmiddle\" \/><br \/>\nMultiply and reduce the answer to lowest terms.<br \/>\nDivide by 3: <img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{11}{3{\\color{Red}&space;\\div&space;3}}\\times&space;\\frac{9{\\color{Red}&space;\\div&space;3}}{4}&space;=&space;\\frac{11}{\\color{Red}&space;1}\\times&space;\\frac{\\color{Red}&space;3}{4}\" alt=\"\\fn_phv \\frac{11}{3{\\color{Red} \\div 3}}\\times \\frac{9{\\color{Red} \\div 3}}{4} = \\frac{11}{\\color{Red} 1}\\times \\frac{\\color{Red} 3}{4}\" align=\"absmiddle\" \/><br \/>\nMultiply the fractions.<br \/>\n<img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{11}{\\color{Red}&space;1}\\times&space;\\frac{\\color{Red}&space;3}{4}=\\frac{3\\times&space;11}{1\\times&space;4}=\\frac{\\color{Red}&space;33}{4}\" alt=\"\\fn_phv \\frac{11}{\\color{Red} 1}\\times \\frac{\\color{Red} 3}{4}=\\frac{3\\times 11}{1\\times 4}=\\frac{\\color{Red} 33}{4}\" align=\"absmiddle\" \/><br \/>\nRewrite the answer as a mixed number if possible.<br \/>\nAnswer: <img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{33}{4}={\\color{Red}&space;8\\frac{1}{4}}\" alt=\"\\fn_phv \\frac{33}{4}={\\color{Red} 8\\frac{1}{4}}\" align=\"absmiddle\" \/>\u00a0pizzas[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Multiplying Mixed Numbers Word Problems[\/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;\">Sam’s rabbit weighs <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;3\\frac{1}{2}}\" alt=\"\\fn_phv {\\color{Teal} 3\\frac{1}{2}}\" align=\"absmiddle\" \/> kilograms. Zander’s rabbit weighs <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;1\\frac{1}{2}}\" alt=\"\\fn_phv {\\color{Teal} 1\\frac{1}{2}}\" align=\"absmiddle\" \/>\u00a0times as much as Sam’s. How much does Zander’s rabbit weigh?<\/span><\/strong><br \/>\nWrite the product as a whole number or a fraction or a mixed number in the simplest form.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/multiply-mixed-numbers\"><img loading=\"lazy\" class=\"alignnone wp-image-3741 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/1-40.png\" alt=\" Multiplying Mixed Numbers Word Problems - Practice Problem 1\" width=\"170\" height=\"62\" \/><\/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\/6th-grade\/multiply-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 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">A fruit farm is <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;4\\frac{1}{2}}\" alt=\"\\fn_phv {\\color{Teal} 4\\frac{1}{2}}\" align=\"absmiddle\" \/> kilometers wide. Its length is <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;3\\frac{2}{3}}\" alt=\"\\fn_phv {\\color{Teal} 3\\frac{2}{3}}\" align=\"absmiddle\" \/>\u00a0times as long as it is wide. What is the area of the farm?<\/span><\/strong><br \/>\nWrite the product as a whole number or a fraction or a mixed number in the simplest form.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/multiply-mixed-numbers\"><img loading=\"lazy\" class=\"alignnone wp-image-3741 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/1-40.png\" alt=\" Multiplying Mixed Numbers Word Problems - Practice Problem 2\" width=\"170\" height=\"62\" \/><\/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\/6th-grade\/multiply-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 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">A small tank contains <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;5\\frac{1}{3}}\" alt=\"\\fn_phv {\\color{Teal} 5\\frac{1}{3}}\" align=\"absmiddle\" \/>\u00a0liters of water. The capacity of a large tank is 6 times more than the small tank. What\u2019s the capacity of the large tank?<\/span><\/strong><br \/>\nWrite the product as a whole number or a fraction or a mixed number in the simplest form.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/multiply-rational-numbers\"><img loading=\"lazy\" class=\"alignnone wp-image-3743 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/2-31.png\" alt=\" Multiplying Mixed Numbers Word Problems - Practice Problem 3\" width=\"132\" height=\"64\" \/><\/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\/7th-grade\/multiply-rational-numbers”][\/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.<\/p>\n<p><strong>Mixed Number<\/strong> – a combination of a whole number and a fraction.[\/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\/equivalent-fractions\"><span style=\"color: #ed5600;\">Equivalent Fractions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/write-improper-fractions-as-mixed-number\"><span style=\"color: #ed5600;\">Write Improper Fractions as Mixed Number<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/add-and-subtract-like-fractions\"><span style=\"color: #ed5600;\">Add and Subtract Like Fractions<\/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><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/add-and-subtract-mixed-numbers\"><span style=\"color: #ed5600;\">Add and Subtract Mixed Numbers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/estimate-products-of-fractions\"><span style=\"color: #ed5600;\">Estimate Products of Fractions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/multiply-fractions\"><span style=\"color: #ed5600;\">Multiply Fractions<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635242093179{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-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\/divide-fractions\"><span style=\"color: #333399;\">Divide Fractions<\/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><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/divide-mixed-numbers\"><span style=\"color: #333399;\">Divide 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=”success” 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=”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=”Subtraction” color=”green” link=”url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Fsubtraction|title:Subtraction||”][vc_btn title=”Word Problems” color=”info” 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] Multiplying Mixed Numbers Word Problems [\/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 […]<\/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>Multiplying Mixed Numbers Word Problems | Oryx Learning<\/title>\n<meta name=\"description\" content=\"A mixed number is one that combines an integer and a fraction. 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