{"id":3053,"date":"2021-12-30T19:17:37","date_gmt":"2021-12-30T19:17:37","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3053"},"modified":"2022-03-01T18:49:51","modified_gmt":"2022-03-01T18:49:51","slug":"multiply-fraction-by-whole-number","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/multiply-fraction-by-whole-number\/","title":{"rendered":"How to Multiply a Fraction by a Whole Number"},"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>How to Multiply a Fraction by a Whole Number?<\/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 fraction represents a part of a whole.<br \/>\nChange the whole number to a fraction <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;a=\\frac{a}{1}\" alt=\"\\fn_phv a=\\frac{a}{1}\" align=\"absmiddle\" \/><br \/>\nThe same process is used when multiplying two or more fractions[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]To <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/multiply-fractions\">multiply fractions<\/a> by a whole number:<br \/>\n1. Change the whole number to a fraction.<br \/>\n2. Simplify the fractions by dividing by their <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/greatest-common-factor\">greatest common factor (GCF)<\/a> one at a time.<br \/>\n3. Reduce them in the simplest form.<br \/>\n4. Multiply the fractions.<br \/>\n5. Rewrite the answer as a mixed number if possible.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<span style=\"color: #16a085;\"><strong>Multiply:<br \/>\n<img style=\"margin-top: 10px; margin-bottom: 0px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{2}{3}\\times&space;9\" alt=\"\\fn_phv \\frac{2}{3}\\times 9\" align=\"absmiddle\" \/><br \/>\n<\/strong><\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]1. Change each number to a fraction.<br \/>\n<img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{2}{3}\\times&space;{\\color{Red}&space;\\frac{9}{1}}\" alt=\"\\fn_phv \\frac{2}{3}\\times {\\color{Red} \\frac{9}{1}}\" align=\"absmiddle\" \/><br \/>\n2. Simplify the fractions by dividing by their greatest common factor (GCF) one at a time.<br \/>\nDivide by 3:<br \/>\n<img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{2}{3{\\color{Red}&space;\\div3&space;}}\\times&space;\\frac{9{\\color{Red}&space;\\div3&space;}}{1}=\\frac{2}{{\\color{Red}&space;1}}\\times&space;\\frac{{\\color{Red}&space;3}}{1}\" alt=\"\\fn_phv \\frac{2}{3{\\color{Red} \\div3 }}\\times \\frac{9{\\color{Red} \\div3 }}{1}=\\frac{2}{{\\color{Red} 1}}\\times \\frac{{\\color{Red} 3}}{1}\" align=\"absmiddle\" \/><br \/>\n3. Multiply the fractions.<br \/>\n<img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{2}{1}\\times&space;\\frac{3}{1}=\\frac{2\\times3&space;}{1\\times&space;1}={\\color{Red}&space;\\frac{6}{1}=6}\" alt=\"\\fn_phv \\frac{2}{1}\\times \\frac{3}{1}=\\frac{2\\times3 }{1\\times 1}={\\color{Red} \\frac{6}{1}=6}\" align=\"absmiddle\" \/>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice How to Multiply a Fraction by a Whole Number[\/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>Multiply. <\/strong><\/span><br \/>\nWrite in the simplest form.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/multiply-fractions\"><img loading=\"lazy\" class=\"alignnone wp-image-3060 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/1-22.png\" alt=\"Multiply a Fraction by a Whole Number Example - Practice Problem 1\" width=\"156\" height=\"60\" \/><\/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-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>Multiply. <\/strong><\/span><br \/>\nWrite in the simplest form.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/multiply-fractions\"><img loading=\"lazy\" class=\"alignnone wp-image-3062 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/2-19.png\" alt=\"Multiply a Fraction by a Whole Number Example - Practice Problem 2\" width=\"148\" height=\"54\" \/><\/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-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]<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\/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\/5th-grade\/write-mixed-number-as-improper-fraction\"><span style=\"color: #ed5600;\">Write Mixed Number as Improper Fraction<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/simplifying-fractions\"><span style=\"color: #ed5600;\">Simplifying fractions<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635233981717{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\/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-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” 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=”Multiplication” color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fmultiplication|title:Multiplication||”][vc_btn title=”Operations” color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Foperations|title:Operations||”][vc_btn title=”Word Problems” color=”green” 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 Multiply a Fraction by a Whole Number? [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]A fraction represents a part of a whole. Change the whole number to a fraction The same process is used when multiplying […]<\/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 Multiply a Fraction by a Whole Number | Oryx Learning<\/title>\n<meta name=\"description\" content=\"This is the best resource for learning how to multiply fractions by whole numbers. 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