Add and Subtract Fractions Common Core COMMON COR Use equivalent fr and subtract frac Find the sum or difference. Write your answer in simplest form. 1. \( \frac{1}{2}-\frac{1}{7} \) 2. \( \frac{7}{10}-\frac{1}{2} \) 3. \( \frac{1}{6}+\frac{1}{2} \)

To solve these problems, first, we need to find a common denominator. For the first problem, the common denominator for 2 and 7 is 14. So we rewrite the fractions as \( \frac{7}{14}-\frac{2}{14} = \frac{5}{14} \). For the second problem, the common denominator for 10 and 2 is 10. Thus, we rewrite \( \frac{1}{2} \) as \( \frac{5}{10} \). So the subtraction looks like this: \( \frac{7}{10}-\frac{5}{10} = \frac{2}{10} = \frac{1}{5} \). Finally, for the third problem, the common denominator for 6 and 2 is 6. We convert \( \frac{1}{2} \) to \( \frac{3}{6} \) so we can add: \( \frac{1}{6}+\frac{3}{6} = \frac{4}{6} = \frac{2}{3} \). Here are the answers: 1. \( \frac{5}{14} \) 2. \( \frac{1}{5} \) 3. \( \frac{2}{3} \)