Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 4 - Section 4.5 - Adding and Subtracting Unlike Fractions - Exercise Set - Page 273: 65

Answer

$ \frac{2}{7}\lt \frac{3}{10}$

Work Step by Step

The least common multiplier of the denominators is 70, since $7\times 10= 70$. Adjust the fractions based on the least common multiplier. For the first fraction, multiply the numerator and denominator by 10. $ \frac{2}{7}\times\frac{10}{10}= \frac{20}{70}$ For the second fraction, multiply the numerator and denominator by 7. $ \frac{3}{10} \times \frac{7}{7}= \frac{21}{70}$ $\frac{20}{70} \lt \frac{21}{70}$ So, $ \frac{2}{7}\lt \frac{3}{10}$
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