Divide (3/2)÷(6/5)

$\frac{3}{2} \div \frac{6}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{2} \cdot \frac{5}{6}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$\frac{3}{2} \cdot \frac{5}{3 (2)}$

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{2} \cdot \frac{5}{2}$

Step 3

Multiply $\frac{1}{2}$ by $\frac{5}{2}$ .

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

Step 4

Multiply $2$ by $2$ .

$\frac{5}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{4}$

Decimal Form:

$1.25$

Mixed Number Form:

$1 \frac{1}{4}$