Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 8 - Rational Functions - 8-5 Adding and Subtracting Rational Expressions - Practice and Problem-Solving Exercises - Page 539: 23

Answer

$\dfrac{15}{28}$

Work Step by Step

Do the subtraction in the numerator and denominator first. Find the least common denominator (LCD) of the two terms of the numerator and the two terms of the denominator: $\dfrac{\frac{4}{4} - \frac{1}{4}}{\frac{10}{5} - \frac{3}{5}}$ Perform the subtraction in both the numerator and the denominator: $=\dfrac{\frac{3}{4}}{\frac{7}{5}}$ Rewrite this fraction as a division problem: $\dfrac{3}{4} \div \dfrac{7}{5}$ To divide one fraction by another, multiply the first fraction by the reciprocal of the second fraction: $=\dfrac{3}{4} \times \dfrac{5}{7}$ Multiply the numerators together, and multiply the denominators together: $=\dfrac{15}{28}$
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