Algebra 2 Common Core

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

Chapter 8 - Rational Functions - Chapter Test - Page 557: 14

Answer

$\dfrac{2y}{x(y - 1)}$

Work Step by Step

Do the subtraction in the denominator first. Find the least common denominator (LCD) of the two terms of the denominator: $\dfrac{\frac{2}{x}}{\frac{y}{y} - \frac{1}{y}}$ Perform the subtraction in the denominator: $\dfrac{\frac{2}{x}}{\frac{y - 1}{y}}$ Rewrite this fraction as a division problem: $\dfrac{2}{x} \div \dfrac{y - 1}{y}$ To divide one fraction by another, multiply the first fraction by the reciprocal of the second fraction: $\dfrac{2}{x} \cdot \dfrac{y}{y - 1}$ Multiply the numerators together, and multiply the denominators together: $\dfrac{2y}{x(y - 1)}$
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