Divide (9/10)÷(3/4)

$\frac{9}{10} \div \frac{3}{4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{9}{10} \cdot \frac{4}{3}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$\frac{3 (3)}{10} \cdot \frac{4}{3}$

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $10$ .

$\frac{3}{2 (5)} \cdot 4$

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 4

Combine $\frac{3}{5}$ and $2$ .

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

Step 5

Multiply $3$ by $2$ .

$\frac{6}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{5}$

Decimal Form:

$1.2$

Mixed Number Form:

$1 \frac{1}{5}$

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