Write the Fraction in Simplest Form (3/4)÷(7/10)

$\frac{3}{4} \div \frac{7}{10}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{4} \cdot \frac{10}{7}$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Factor $2$ out of $10$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Multiply $\frac{3}{2}$ by $\frac{5}{7}$ .

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

Step 4

Multiply $3$ by $5$ .

$\frac{15}{2 \cdot 7}$

Step 5

Multiply $2$ by $7$ .

$\frac{15}{14}$