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Sofia has: \( \frac{7}{8} \) of a pound of flour. She needs \( \frac{1}{16} \) of a pound of flour to make one batch of cookies. How many batches of cookies can she make with her \( \frac{7}{8} \) pound of flour?

Ask by Cummings Lane. in the United States
Feb 03,2025

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Sofia can make 14 batches of cookies with her \( \frac{7}{8} \) pound of flour.

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The Deep Dive

To find out how many batches of cookies Sofia can make, we need to divide the amount of flour she has by the amount needed for one batch. Sofia has \( \frac{7}{8} \) of a pound of flour, and each batch requires \( \frac{1}{16} \) of a pound. We can set up the division as follows: \[ \frac{7}{8} \div \frac{1}{16} \] Dividing fractions involves multiplying by the reciprocal, so we have: \[ \frac{7}{8} \times \frac{16}{1} = \frac{7 \times 16}{8 \times 1} = \frac{112}{8} = 14 \] Thus, Sofia can make \( \boxed{14} \) batches of cookies.

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