Basic College Mathematics (9th Edition)

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

Chapter 3 - Adding and Subtracting Fractions - 3.1 Adding and Subtracting Like Fractions - 3.1 Execises: 36

Answer

The organizer owes the winner $\frac{2}{5}$.

Work Step by Step

The organization paid the winner $\frac{3}{10}$ of her winnings. If the organization originally owed $\frac{7}{10}$ of her winnings, they now owe the difference between $\frac{7}{10}$ and $\frac{3}{10}$. $\frac{7}{10}-\frac{3}{10}=\frac{7-3}{10}=\frac{4}{10}=\frac{4\div2}{10\div2}=\frac{2}{5}$ Therefore, they currently owe the winner $\frac{2}{5}$ of the original winnings.
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