Question

Use properties of rational numbers to simplify the expression. 2/5 + 7/15 + 1/5

Answer 1

wrong

Answer 2

To simplify the expression \( \frac{2}{5} + \frac{7}{15} + \frac{1}{5} \), we first need to find a common denominator for all the fractions. The denominators are 5 and 15. The least common denominator (LCD) is 15.

Now we convert each fraction to have a denominator of 15:

1. For \( \frac{2}{5} \):
\[
\frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15}
\]

2. For \( \frac{7}{15} \), it already has the denominator of 15.

3. For \( \frac{1}{5} \):
\[
\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}
\]

Now we can rewrite the original expression with the common denominator:
\[
\frac{6}{15} + \frac{7}{15} + \frac{3}{15}
\]

Next, we can combine the fractions:
\[
\frac{6 + 7 + 3}{15} = \frac{16}{15}
\]

Thus, the simplified expression is:
\[
\frac{16}{15}
\]