Question

A cook has 6 1/2 cups of sliced carrots.
How many 3/4 cup servings of carrots is this?
A. 4 3/8
B. 4⅞
C. 5 1/3
D. 8 1/4
E. 8 2/3

Answer 1

To find out how many \( \frac{3}{4} \) cup servings can be made from \( 6 \frac{1}{2} \) cups of sliced carrots, we first convert \( 6 \frac{1}{2} \) into an improper fraction.

1. Convert \( 6 \frac{1}{2} \) to an improper fraction:

\[
6 \frac{1}{2} = 6 + \frac{1}{2} = \frac{12}{2} + \frac{1}{2} = \frac{13}{2}
\]

2. Now, we divide \( \frac{13}{2} \) by \( \frac{3}{4} \):

\[
\frac{13}{2} \div \frac{3}{4} = \frac{13}{2} \times \frac{4}{3} = \frac{13 \times 4}{2 \times 3} = \frac{52}{6}
\]

3. Now, simplify \( \frac{52}{6} \):

\[
\frac{52}{6} = \frac{26}{3}
\]

4. Next, convert \( \frac{26}{3} \) to a mixed number:

\[
26 \div 3 = 8 \quad \text{remainder } 2
\]
Thus,
\[
\frac{26}{3} = 8 \frac{2}{3}
\]

So, the number of \( \frac{3}{4} \) cup servings of carrots from \( 6 \frac{1}{2} \) cups is \( 8 \frac{2}{3} \).

Therefore, the correct answer is **E. 8 2/3**.