Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Skills Handbook - Multiplying and Dividing Fractions - Exercises - Page 804: 15

Answer

$\frac{38}{21}$

Work Step by Step

We first turn the two whole numbers into fraction form, giving us the following: $\frac{19}{6} \div \frac{7}{4}$ We never can divide by a fraction. Rather, we must multiply the first fraction by the reciprocal of the second fraction. Because the reciprocal of 7/4 is 4/7, we obtain: $\frac{19}{6}\times \frac{4}{7} = \frac{76}{42}=\frac{38}{21}$.
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