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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1. Paul needs to buy $$\frac{5}{8}$$ pound of peanuts. The scale displays measurements in sixteenths of a pound.

2. To convert $$\frac{5}{8}$$ to an equivalent fraction with a denominator of 16, determine the number you multiply 8 by to get 16. Since
   $$
   8 \times 2 = 16,
   $$
   multiply both the numerator and the denominator by 2:
   $$
   \frac{5}{8} = \frac{5 \times 2}{8 \times 2} = \frac{10}{16}.
   $$

3. Thus, $$\frac{10}{16}$$ pound is equivalent to $$\frac{5}{8}$$ pound.

4. If the problem intended to ask for an equivalent measure for $$\frac{5}{6}$$ pound, then a similar conversion would require finding a multiplier to change the denominator from 6 to 16. However, because
   $$
   \frac{5}{6} \times \frac{16}{16} = \frac{80}{96},
   $$
   and the denominator 96 is not 16, we cannot express $$\frac{5}{6}$$ exactly in sixteenths of a pound using whole-number parts.

Based on the context (and the standard 4.NF.A.1 goal for finding equivalent fractions with whole-number multipliers), it is most likely that the intended conversion was for $$\frac{5}{8}$$. Therefore, the measure Paul should ask for on the scale is $$\frac{10}{16}$$ pound.
Paul should ask for $$\frac{10}{16}$$ pound of peanuts.

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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