On the Back! 6. Find the difference of \( \frac{7}{10}-\frac{1}{5} \). Show your work.
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To find the difference of \( \frac{7}{10} - \frac{1}{5} \), we first need to have a common denominator. The denominators are 10 and 5. The least common multiple (LCM) of 10 and 5 is 10. Next, we rewrite \( \frac{1}{5} \) with a denominator of 10: \[ \frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{2}{10} \] Now, we can subtract the fractions: \[ \frac{7}{10} - \frac{2}{10} = \frac{7 - 2}{10} = \frac{5}{10} \] Finally, simplify \( \frac{5}{10} \): \[ \frac{5}{10} = \frac{1}{2} \] So, the difference is \( \frac{1}{2} \).