Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 2 - Multiplying and Dividing Fractions - Test: 12

Answer

Write the prime factorization of both numerator and denominator. Divide the numerator and denominator by any common factors. Multiply the remaining factors in the numerator and denominator. Divide all the common factors of 56 and 84 Prime factors of 56 are 2 * 2* 2* 7 Prime factors of 84 are 2*2*3* 7 divide numerator and denominator by 2*2* 7 because they are common factors $\frac{56}{84}$ written in lowest terms is $\frac{2}{3}$.

Work Step by Step

Write the prime factorization of both numerator and denominator. $\frac{56}{84}$ Prime factors of 56 are 2 * 2* 2* 7 Prime factors of 84 are 2*2*3* 7 Divide the numerator and denominator by any common factors. So in the example divide numerator and denominator by 2*2* 7 because they are common factors Multiply the remaining factors in the numerator and denominator. the remaining factors are 2 in the numerator and 3 in the denominator $\frac{2}{3}$ Finally, $\frac{56}{84}$ written in lowest terms is $\frac{2}{3}$.
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