Algebra 2 Common Core

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

Chapter 9 - Sequences and Series - Get Ready! - Page 561: 11

Answer

$\frac{4}{3}$

Work Step by Step

Do the subtraction in the numerator first. Find the least common denominator (LCD) of the two terms of the numerator: $\dfrac{\frac{3}{3} - \frac{1}{3}}{\frac{1}{2}}$ Perform the subtraction in the numerator: $\dfrac{\frac{2}{3}}{\frac{1}{2}}$ Rewrite this fraction as a division problem: $\frac{2}{3} \div \frac{1}{2}$ To divide one fraction by another, multiply the first fraction by the reciprocal of the second fraction: $\frac{2}{3} \cdot \frac{2}{1}$ Multiply the numerators together, and multiply the denominators together: $\frac{2(2)}{3(1)}$ Simplify: $\frac{4}{3}$
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