Algebra 2 Common Core

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

Chapter 1 - Expressions, Equations, and Inequalities - Get Ready!: 19

Answer

$\frac{-1}{6}$

Work Step by Step

1. Identify what is being done. In this case, it is division. $\frac{-2}{3}$ / 4 2. Use the, "Keep-Change-Flip," process. This means keeping the first term, changing the division sign to multiplication, and flipping second term. 3. Keep the (-2/3) 4. Change the division sign to a multiplication sign. 5. Flip the second term, 4, by making it a fraction. 4 is a whole number, so flipping it would make it a fraction, (1/4). $\frac{-2}{3}$ * $\frac{1}{4}$ 6. Now multiply straight across the problem, multiplying (-2) times 1, and 3 times 4. 7. Multiplying the numbers will result in (-2) in the numerator (top), and 12 in the denominator (bottom). $\frac{-2}{12}$ 8. Simplify if possible. Both -2 and 12 have a 2 as a common factor, so dividing both by 2 will result in the simplified answer, (-1/6) $\frac{-1}{6}$
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