Question

The recipe for a batch of applesauce uses 2 and one-half pounds of apples. If Michael wants to make Three-fourths of a batch of applesauce, how many pounds of apples will he need?
StartFraction 3 Over 10 EndFraction of a pound
StartFraction 8 Over 15 EndFraction of a pound
1 and StartFraction 7 Over 8 EndFraction pounds
3 and one-third pounds

Answer 1

To determine how many pounds of apples Michael needs to make \( \frac{3}{4} \) of a batch of applesauce, we first need to find out how much apple he needs for \( \frac{3}{4} \) of 2.5 pounds.

First, convert 2.5 pounds into a fraction:
\[
2.5 = \frac{5}{2}
\]
Now, multiply \( \frac{5}{2} \) by \( \frac{3}{4} \):
\[
\frac{3}{4} \times \frac{5}{2} = \frac{3 \times 5}{4 \times 2} = \frac{15}{8}
\]

Next, we convert \( \frac{15}{8} \) into a mixed number:
\[
\frac{15}{8} = 1 \frac{7}{8}
\]

Therefore, the amount of apples Michael needs is \( 1 \frac{7}{8} \) pounds.

The answer is \( 1 \frac{7}{8} \) pounds.