15) $$ \frac{2}{5} \div \frac{3}{7} $$

Question

UpStudy AI · Accepted Answer

To solve the division of two fractions:

$$
\frac{2}{5} \div \frac{3}{7}
$$

**Step 1: Rewrite the Division as Multiplication by the Reciprocal**

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of $$\frac{3}{7}$$ is $$\frac{7}{3}$$.

$$
\frac{2}{5} \div \frac{3}{7} = \frac{2}{5} \times \frac{7}{3}
$$

**Step 2: Multiply the Numerators and the Denominators**

$$
\frac{2 \times 7}{5 \times 3} = \frac{14}{15}
$$

**Final Answer:**

$$
\boxed{\dfrac{14}{15}}
$$
$$ \frac{14}{15} $$

15) \( \frac{2}{5} \div \frac{3}{7} \)