Evaluate (3/4)/(7/10)

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

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.

Multiply $3$ by $5$ .

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

Multiply $2$ by $7$ .

$\frac{15}{14}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{15}{14}$

Decimal Form:

$1.07142857 \dots$

Mixed Number Form:

$1 \frac{1}{14}$