What you’ll learn to do: Multiply and divide fractions

What fraction of this pizza is left over after Karen and her roommates eat?

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!

Before you get started, take this readiness quiz.

readiness quiz

1)

If you missed this problem, review the following video.

2)

Draw a model of the fraction [latex]{\Large\frac{6}{8}}[/latex].

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If you missed this problem, review this example.

Shade [latex]{\Large\frac{3}{4}}[/latex] of the circle.

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Solution
The denominator is [latex]4[/latex]$\mathrm{,}$ so we divide the circle into four equal parts ⓐ.
The numerator is [latex]3[/latex], so we shade three of the four parts ⓑ.
[latex]{\Large\frac{3}{4}}[/latex] of the circle is shaded.

 

3)

Find two fractions equivalent to [latex]\Large\frac{5}{6}[/latex].

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Answers may vary. Acceptable answers include [latex]{\Large\frac{10}{12}},{\Large\frac{15}{18}},{\Large\frac{50}{60}},{\Large\frac{100}{120}}[/latex], etc.

If you missed this problem, review the following video.