Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 2 - Multiplying and Dividing Fractions - 2.8 Multiplying and Dividing Mixed Numbers - 2.8 Exercises - Page 177: 33

Answer

(a) Estimate 3 cups Exact $1 \frac{7}{8}$ cups (b) Estimate 3 tsp Exact $1 \frac{1}{4}$ tsp (c) Estimate 6 cups Exact $4 \frac{3}{8}$ cups

Work Step by Step

(a) $\frac{3}{4} \times 2 \frac{1}{2}$ cups Estimate Round fractions to the nearest whole number $1 \times 3 = 3$ cups Exact Convert mixed numbers to improper fractions and multiply $\frac{3}{4} \times \frac{5}{2}$ = $\frac{15}{8}$ Convert improper fractions to mixed numbers $\frac{15}{8}$ = $1 \frac{7}{8}$ cups (b) $\frac{1}{2} \times 2 \frac{1}{2}$ tsp Estimate Round fractions to the nearest whole number $1 \times 3 = 3$ tsp Exact Convert mixed numbers to improper fractions and multiply $\frac{1}{2} \times \frac{5}{2}$ = $\frac{5}{4}$ Convert improper fractions to mixed numbers $\frac{5}{4}$ = $1 \frac{1}{4}$ tsp (c) $1 \frac{3}{4} \times 2 \frac{1}{2}$ cups Estimate Round fractions to the nearest whole number $2 \times 3 = 6$ cups Exact Convert mixed numbers to improper fractions and multiply $\frac{7}{4} \times \frac{5}{2}$ = $\frac{35}{8}$ Convert improper fractions to mixed numbers $\frac{35}{8}$ = $4 \frac{3}{8}$ cups
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.