17. Paul needs to buy \( \frac{5}{8} \) pound of peanuts. The scale at the store measures parts of a pound in sixteenths. What measure is equivalent to \( \frac{5}{6} \) pound? (4.NF.A.1)
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To find the equivalent measure in sixteenths, first convert \( \frac{5}{8} \) pound to sixteenths. Since there are 16 parts in a pound, multiply \( \frac{5}{8} \) by \( \frac{16}{16} \) to get \( \frac{5 \times 16}{8 \times 16} \), simplifying to \( \frac{5 \times 2}{1} = 10 \) sixteenths. To check your work, remember that to change a fraction to an equivalent form, you can multiply by 1 (in this case, in the form of \( \frac{16}{16} \)). Common mistakes include forgetting to convert the denominator or miscalculating the multiplication, so double-check your math!