Back to Exercise: Compute unit rates associated with ratios of fractions

Unit Rates with Fractional Quantities

Grade 7·21 problems·~30 min·Common Core Math - Grade 7·standard·7-rp-a-1
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A

Recall / Warm-Up

1.

A car travels 180 miles in 3 hours. What is the unit rate in miles per hour?

2.

What is 34÷12\frac{3}{4} \div \frac{1}{2}?

3.

Rewrite 23÷45\frac{2}{3} \div \frac{4}{5} as multiplication by the reciprocal, then compute the result. Express as a fraction in simplest form.

B

Fluency Practice

1.

Simplify the complex fraction 1/21/4\dfrac{1/2}{1/4}. Express as a whole number or fraction in simplest form.

2.

A cyclist rides 34\frac{3}{4} mile in 12\frac{1}{2} hour. Compute the unit rate in miles per hour. Express as a fraction in simplest form.

3.

Compute 45÷23\frac{4}{5} \div \frac{2}{3}. Express as a fraction in simplest form.

4.

Compute 56÷53\frac{5}{6} \div \frac{5}{3}. Express as a fraction in simplest form.

5.

Which of the following correctly evaluates 38÷34\frac{3}{8} \div \frac{3}{4}?

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