## Basic College Mathematics (10th Edition)

Published by Pearson

# Chapter 2 - Multiplying and Dividing Fractions - 2.8 Multiplying and Dividing Mixed Numbers - 2.8 Exercises - Page 177: 36

#### Answer

(a) Estimate 0 cups Exact$\frac{7}{12}$ cup (b) Estimate 0 tsp Exact $\frac{1}{6}$ tsp (c) Estimate 0 cups Exact $\frac{1}{4}$ tsp

#### Work Step by Step

(a) $1 \frac{3}{4} \times \frac{1}{3}$ cups Estimate Round fractions to the nearest whole number. $2 \times 0 = 0$ cups Exact Convert mixed numbers to improper fractions and multiply. $\frac{7}{4} \times \frac{1}{3}$ = $\frac{7}{12}$ cup (b) $\frac{1}{2} \times \frac{1}{3}$ tsp Estimate Round fractions to the nearest whole number. $1 \times 0 = 0$ tsp Exact Multiply. $\frac{1}{2} \times \frac{1}{3}$ = $\frac{1}{6}$ tsp (c) $\frac{3}{4} \times \frac{1}{3}$ cup Estimate Round fractions to the nearest whole number. $1 \times 0 = 0$ tsp Exact Multiply. $\frac{3}{4} \times \frac{1}{3}$ = $\frac{3}{12}$ tsp Reduce the fraction using the common factor of 3. $\frac{3}{12}$ = $\frac{1}{4}$ tsp

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