Introduction to Multiplying and Dividing Fractions
On Friday night, Karen and her roommates ordered a large pizza. After eating 1/2 of the pizza, they wrapped up the 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!Learning Outcomes
By the end of this section, you will be able to:- Simplify fractions
- Multiply fractions
- Find reciprocals
- Divide fractions
readiness quiz
Before you get started, take this readiness quiz. 1) [ohm_question]146554[/ohm_question] If you missed this problem, review the following video. https://youtu.be/2K5pBvb7Sss 2) Draw a model of the fraction [latex]\frac{6}{8}[/latex]. If you missed this problem, review this example.
Shade [latex]\frac{3}{4}[/latex] of the circle.
3)
Find two fractions equivalent to [latex]\frac{5}{6}[/latex].
Answer:
Solution
The denominator is [latex]<span id="MathJax-Element-22-Frame" class="mjx-chtml MathJax_CHTML" style="box-sizing: inherit; padding: 1px 0px; margin: 0px; font-size: 17.44px; vertical-align: baseline; background: transparent; border: 0px; outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; letter-spacing: normal; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;" tabindex="0" role="presentation" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn>"><span id="MJXc-Node-134" class="mjx-math" aria-hidden="true"><span id="MJXc-Node-135" class="mjx-mrow"><span id="MJXc-Node-136" class="mjx-mn"><span class="mjx-char MJXc-TeX-main-R">4[/latex], so we divide the circle into four equal parts ⓐ.
The numerator is [latex]3[/latex], so we shade three of the four parts ⓑ.
[latex]/frac{3}{4}[/latex] of the circle is shaded.
Answer: Answers may vary. Acceptable answers include [latex]\frac{10}{12},\frac{15}{18},\frac{50}{60},\frac{100}{120}[/latex], etc.
If you missed this problem, review the following video. https://youtu.be/8gJS0kvtGFULicenses & Attributions
CC licensed content, Original
- Question ID: 146554. Authored by: Alyson Day. License: CC BY: Attribution. License terms: IMathAS Community License CC-BY + GPL.
CC licensed content, Shared previously
- Artichoke Pizza from Houston. Authored by: Patrick Feller. Located at: https://www.flickr.com/photos/nakrnsm/3980269048. License: CC BY: Attribution.
- Ex 1: Prime Factorization. Authored by: James Sousa (Mathispower4u.com). License: CC BY: Attribution.
- Ex: Determine Equivalent Fractions.. Authored by: James Sousa (Mathispower4u.com) . License: CC BY: Attribution.
CC licensed content, Specific attribution
- Prealgebra. Provided by: OpenStax License: CC BY: Attribution. License terms: Download for free at http://cnx.org/contents/[email protected].