# Chapter 11 - Rational Expressions and Functions - Get Ready! - Page 661: 4

$\frac{11}{35}$

#### Work Step by Step

To subtract 2 fractions, we must convert them into a common denominator. In this case, we need to find a common multiple between 5 and 7. Since 35 is the smallest number divisible to both 2 and 4, it is our denominator. When we multiply a denominator by any number, to keep the value of that fraction unchanged, we must also multiply the numerator by that number. Finally, subtract the new numerators together and keep the denominator unchanged to find the sum. $\frac{3}{5}-\frac{2}{7}=\frac{3*7}{5*7}-\frac{2*5}{7*5}=\frac{21}{35}-\frac{10}{35}=\frac{21-10}{35}=\frac{11}{35}$

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