While cooking soup. Marry used \( \frac{5}{7} \) of a shaker of salt and \( \frac{3}{5} \) of a shaker of pepper. How much more salt was used than pepper? A \( \frac{1}{3 s} \) B \( \frac{2}{35} \) C \( \frac{4}{35} \) D \( \frac{0}{35} \)
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To find out how much more salt was used than pepper, we need to subtract the amount of pepper from the amount of salt. Marry used \( \frac{5}{7} \) of a shaker of salt and \( \frac{3}{5} \) of a shaker of pepper. To subtract these fractions, we first need a common denominator. The least common multiple of 7 and 5 is 35. Now, convert the fractions: - For salt: \( \frac{5}{7} = \frac{5 \times 5}{7 \times 5} = \frac{25}{35} \) - For pepper: \( \frac{3}{5} = \frac{3 \times 7}{5 \times 7} = \frac{21}{35} \) Now perform the subtraction: \[ \frac{25}{35} - \frac{21}{35} = \frac{25 - 21}{35} = \frac{4}{35} \] So, the answer is option C: \( \frac{4}{35} \).