Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Skills Handbook - Multiplying and Dividing Fractions - Exercises - Page 792: 10


The answer is $\frac{7}{15}$

Work Step by Step

$\frac{2}{6}$ $\div$ $\frac{5}{7}$ ---------- 1) In order to divide fractions we need to turn the second fraction upside down and multiply the fractions together: $\frac{2}{6}$ $\div$ $\frac{5}{7}$ = $\frac{2}{6}$ x $\frac{7}{5}$ 2) We now multiply the fractions by multiplying the numerators together and multiplying the denominators together: $\frac{2}{6}$ x $\frac{7}{5}$ = $\frac{2\times 7}{6 \times 5}$ = $\frac{14}{30}$ 3) Now we can simplify the fraction by dividing the numerator and denominator by a common factor. In this case the number 2 is a common factor of 14 and 30: $\frac{14}{30}$ = $\frac{7}{15}$
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