Write the Fraction in Simplest Form (3/14)÷(7/10)

$\frac{3}{14} \div \frac{7}{10}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{14} \cdot \frac{10}{7}$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $14$ .

$\frac{3}{2 (7)} \cdot \frac{10}{7}$

Factor $2$ out of $10$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{3}{7} \cdot \frac{5}{7}$

Step 3

Multiply $\frac{3}{7}$ by $\frac{5}{7}$ .

$\frac{3 \cdot 5}{7 \cdot 7}$

Step 4

Multiply $3$ by $5$ .

$\frac{15}{7 \cdot 7}$

Step 5

Multiply $7$ by $7$ .

$\frac{15}{49}$