Question

Evaluate the given expression.

3/5 + 1 1/5 - 2/5

Answer 1

To evaluate the expression \( \frac{3}{5} + 1 \frac{1}{5} - \frac{2}{5} \), we can follow these steps:

1. Convert the mixed number \( 1 \frac{1}{5} \) into an improper fraction:
\[
1 \frac{1}{5} = 1 + \frac{1}{5} = \frac{5}{5} + \frac{1}{5} = \frac{6}{5}
\]

2. Substitute \( 1 \frac{1}{5} \) with \( \frac{6}{5} \) in the expression:
\[
\frac{3}{5} + \frac{6}{5} - \frac{2}{5}
\]

3. Now since all fractions have the same denominator (5), we can combine them easily:
\[
\frac{3 + 6 - 2}{5} = \frac{7}{5}
\]

4. Finally, we can convert \( \frac{7}{5} \) back to a mixed number if desired:
\[
\frac{7}{5} = 1 \frac{2}{5}
\]

Thus, the evaluated expression is:
\[
\frac{7}{5} \text{ or } 1 \frac{2}{5}
\]