{"id":6761,"date":"2017-05-02T20:42:19","date_gmt":"2017-05-02T20:42:19","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&p=6761"},"modified":"2019-05-24T18:15:01","modified_gmt":"2019-05-24T18:15:01","slug":"multiply-and-divide-fractions","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/chapter\/multiply-and-divide-fractions\/","title":{"raw":"Introduction to Multiplying and Dividing Fractions","rendered":"Introduction to Multiplying and Dividing Fractions"},"content":{"raw":"

What you'll learn to do: Multiply and divide fractions<\/h2>\r\n[caption id=\"attachment_13012\" align=\"aligncenter\" width=\"842\"]\"A<\/a> What fraction of this pizza is left over after Karen and her roommates eat?[\/caption]\r\n\r\nOn Friday night, Karen and her roommates ordered a large pizza. After eating 1\/2 of the pizza, they wrapped up\u00a0the rest to save for later. The next day, Karen and her roommates finished 2\/3 of the remaining pizza. What fraction of the original pizza is left? To figure this out, we can use mathematical operations with fractions. Multiplying and dividing fractions are skills that often come in handy in everyday situations like this one. Read on to find out how to do it!\r\n\r\nBefore you get started, take this readiness quiz.\r\n
\r\n

readiness quiz<\/h3>\r\n1)\r\n\r\n[ohm_question height=\"300\"]146554[\/ohm_question]\r\n\r\nIf you missed this problem, review the following video.\r\n\r\nhttps:\/\/youtu.be\/2K5pBvb7Sss\r\n\r\n2)\r\n\r\nDraw a model of the fraction [latex]{\\Large\\frac{6}{8}}[\/latex].\r\n\r\n[reveal-answer q=\"30355\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"30355\"]\r\n\r\n\"\"<\/a>\r\n\r\n[\/hidden-answer]\r\n\r\nIf you missed this problem, review this example.\r\n
\r\n\r\nShade [latex]{\\Large\\frac{3}{4}}[\/latex]<\/span>\u00a0of the circle.\r\n\r\n\"An\r\n
[reveal-answer q=\"607433\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"607433\"]\r\n
Solution\r\nThe denominator is [latex]4[\/latex],<\/span><\/span><\/span><\/span><\/span>\u00a0so we divide the circle into four equal parts \u24d0.\r\nThe numerator is [latex]3[\/latex]<\/span>, so we shade three of the four parts \u24d1.\"In\r\n[latex]{\\Large\\frac{3}{4}}[\/latex]<\/span>\u00a0of the circle is shaded.<\/div>\r\n<\/div>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n \r\n\r\n3)\r\n\r\nFind two fractions equivalent to [latex]\\Large\\frac{5}{6}[\/latex].\r\n\r\n[reveal-answer q=\"620934\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"620934\"]\r\n\r\nAnswers may vary. Acceptable answers include [latex]{\\Large\\frac{10}{12}},{\\Large\\frac{15}{18}},{\\Large\\frac{50}{60}},{\\Large\\frac{100}{120}}[\/latex], etc.\r\n\r\n[\/hidden-answer]\r\n\r\nIf you missed this problem, review the following video.\r\n\r\nhttps:\/\/youtu.be\/8gJS0kvtGFU\r\n\r\n<\/div>","rendered":"

What you’ll learn to do: Multiply and divide fractions<\/h2>\n
\"A<\/a><\/p>\n

What fraction of this pizza is left over after Karen and her roommates eat?<\/p>\n<\/div>\n

On Friday night, Karen and her roommates ordered a large pizza. After eating 1\/2 of the pizza, they wrapped up\u00a0the rest to save for later. The next day, Karen and her roommates finished 2\/3 of the remaining pizza. What fraction of the original pizza is left? To figure this out, we can use mathematical operations with fractions. Multiplying and dividing fractions are skills that often come in handy in everyday situations like this one. Read on to find out how to do it!<\/p>\n

Before you get started, take this readiness quiz.<\/p>\n

\n

readiness quiz<\/h3>\n

1)<\/p>\n