Question

Rafael is solving 4 4/5 − 1 3/5
. What is the correct result?(1 point)

Answer 1

To solve \( 4 \frac{4}{5} - 1 \frac{3}{5} \), we can first convert the mixed numbers to improper fractions.

1. Convert \( 4 \frac{4}{5} \):
\[
4 \frac{4}{5} = \frac{(4 \times 5) + 4}{5} = \frac{20 + 4}{5} = \frac{24}{5}
\]

2. Convert \( 1 \frac{3}{5} \):
\[
1 \frac{3}{5} = \frac{(1 \times 5) + 3}{5} = \frac{5 + 3}{5} = \frac{8}{5}
\]

Now we can subtract these two improper fractions:

\[
\frac{24}{5} - \frac{8}{5} = \frac{24 - 8}{5} = \frac{16}{5}
\]

Next, we convert \( \frac{16}{5} \) back to a mixed number:

\[
\frac{16}{5} = 3 \frac{1}{5} \quad \text{(since } 16 \div 5 = 3 \text{ with a remainder of 1)}
\]

Therefore, the result of \( 4 \frac{4}{5} - 1 \frac{3}{5} \) is:

\[
\boxed{3 \frac{1}{5}}
\]