Solve Fraction Division: 2/3 ÷ 7/5 Step-by-Step

To solve this problem, we'll use the reciprocal method for dividing fractions.

Step 1: Identify the reciprocal of the divisor.
The reciprocal of $\frac{7}{5}$ is $\frac{5}{7}$.

Step 2: Multiply the dividend by the reciprocal of the divisor.
Multiply $\frac{2}{3}$ by $\frac{5}{7}$:

$\frac{2}{3} \times \frac{5}{7} = \frac{2 \times 5}{3 \times 7} = \frac{10}{21}$

There is no common factor between 10 and 21 other than 1, meaning $\frac{10}{21}$ is already in its simplest form.

Therefore, the solution to the problem is $\frac{10}{21}$.