Basic Math Examples

$\frac{9}{5} \div \frac{15}{2} \div 7$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{9}{5} \div \frac{15}{2}}{7}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{9}{5} \div \frac{15}{2} \cdot \frac{1}{7}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$\frac{9}{5} \cdot \frac{2}{15} \frac{1}{7}$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $9$ .

$\frac{3 (3)}{5} \cdot \frac{2}{15} \frac{1}{7}$

Step 4.2

Factor $3$ out of $15$ .

$\frac{3 \cdot 3}{5} \cdot \frac{2}{3 \cdot 5} \frac{1}{7}$

Step 4.3

Cancel the common factor.

$\frac{3 \cdot 3}{5} \cdot \frac{2}{3 \cdot 5} \frac{1}{7}$

Step 4.4

Rewrite the expression.

$\frac{3}{5} \cdot \frac{2}{5} \frac{1}{7}$

Step 5

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

$\frac{3 \cdot 2}{5 \cdot 5} \cdot \frac{1}{7}$

Step 6

Multiply.

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Step 6.1

Multiply $3$ by $2$ .

$\frac{6}{5 \cdot 5} \cdot \frac{1}{7}$

Step 6.2

Multiply $5$ by $5$ .

$\frac{6}{25} \cdot \frac{1}{7}$

Step 7

Multiply $\frac{6}{25} \cdot \frac{1}{7}$ .

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Step 7.1

Multiply $\frac{6}{25}$ by $\frac{1}{7}$ .

$\frac{6}{25 \cdot 7}$

Step 7.2

Multiply $25$ by $7$ .

$\frac{6}{175}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{175}$

Decimal Form:

$0.03428571 \dots$