Solve: (3/5 × 2/3) + 2/5 | Mixed Fraction Operations

To solve the problem $\frac{3}{5} \times \frac{2}{3} + \frac{2}{5}$, we proceed with the following steps:

• Step 1: Multiply the fractions $\frac{3}{5}$ and $\frac{2}{3}$.

The multiplication yields:

$\frac{3}{5} \times \frac{2}{3} = \frac{3 \times 2}{5 \times 3} = \frac{6}{15}$

• Step 2: Simplify the product $\frac{6}{15}$.

Both 6 and 15 share a common factor of 3:

$\frac{6}{15} = \frac{6 \div 3}{15 \div 3} = \frac{2}{5}$

• Step 3: Add $\frac{2}{5}$ to the simplified result $\frac{2}{5}$.

Since the fractions $\frac{2}{5}$ and $\frac{2}{5}$ have the same denominator, add the numerators while keeping the denominator:

$\frac{2}{5} + \frac{2}{5} = \frac{2+2}{5} = \frac{4}{5}$

Therefore, the solution to the problem is $\frac{4}{5}$.