Basic Math Examples

$\frac{12}{7} \div \frac{8}{3} \div \frac{10}{9} \div \frac{5}{9}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{12}{7} \div \frac{8}{3} \div \frac{10}{9} \cdot \frac{9}{5}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{12}{7} \div \frac{8}{3} \cdot \frac{9}{10} \frac{9}{5}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$\frac{12}{7} \cdot \frac{3}{8} \frac{9}{10} \frac{9}{5}$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Factor $4$ out of $12$ .

$\frac{4 (3)}{7} \cdot \frac{3}{8} \frac{9}{10} \frac{9}{5}$

Step 4.2

Factor $4$ out of $8$ .

$\frac{4 \cdot 3}{7} \cdot \frac{3}{4 \cdot 2} \frac{9}{10} \frac{9}{5}$

Step 4.3

Cancel the common factor.

$\frac{4 \cdot 3}{7} \cdot \frac{3}{4 \cdot 2} \frac{9}{10} \frac{9}{5}$

Step 4.4

Rewrite the expression.

$\frac{3}{7} \cdot \frac{3}{2} \frac{9}{10} \frac{9}{5}$

Step 5

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

$\frac{3 \cdot 3}{7 \cdot 2} \cdot \frac{9}{10} \frac{9}{5}$

Step 6

Multiply.

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Step 6.1

Multiply $3$ by $3$ .

$\frac{9}{7 \cdot 2} \cdot \frac{9}{10} \frac{9}{5}$

Step 6.2

Multiply $7$ by $2$ .

$\frac{9}{14} \cdot \frac{9}{10} \frac{9}{5}$

Step 7

Multiply $\frac{9}{14} \cdot \frac{9}{10}$ .

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Step 7.1

Multiply $\frac{9}{14}$ by $\frac{9}{10}$ .

$\frac{9 \cdot 9}{14 \cdot 10} \cdot \frac{9}{5}$

Step 7.2

Multiply $9$ by $9$ .

$\frac{81}{14 \cdot 10} \cdot \frac{9}{5}$

Step 7.3

Multiply $14$ by $10$ .

$\frac{81}{140} \cdot \frac{9}{5}$

Step 8

Multiply $\frac{81}{140} \cdot \frac{9}{5}$ .

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Step 8.1

Multiply $\frac{81}{140}$ by $\frac{9}{5}$ .

$\frac{81 \cdot 9}{140 \cdot 5}$

Step 8.2

Multiply $81$ by $9$ .

$\frac{729}{140 \cdot 5}$

Step 8.3

Multiply $140$ by $5$ .

$\frac{729}{700}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{729}{700}$

Decimal Form:

$1.04142857 \dots$

Mixed Number Form:

$1 \frac{29}{700}$