Basic Math Examples

$(\frac{16}{3} \div \frac{7}{3}) \cdot (\frac{22}{7} \cdot \frac{7}{3})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{16}{3} \cdot \frac{3}{7} \cdot (\frac{22}{7} \cdot \frac{7}{3})$

Step 2

Cancel the common factor of

$3$ .

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Step 2.1

Cancel the common factor.

$\frac{16}{3} \cdot \frac{3}{7} \cdot (\frac{22}{7} \cdot \frac{7}{3})$

Step 2.2

Rewrite the expression.

$16 (\frac{1}{7}) \cdot (\frac{22}{7} \cdot \frac{7}{3})$

Step 3

Combine

$16$ and

$\frac{1}{7}$ .

$\frac{16}{7} \cdot (\frac{22}{7} \cdot \frac{7}{3})$

Step 4

Cancel the common factor of

$7$ .

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Step 4.1

Cancel the common factor.

$\frac{16}{7} \cdot (\frac{22}{7} \cdot \frac{7}{3})$

Step 4.2

Rewrite the expression.

$\frac{16}{7} \cdot (22 \cdot \frac{1}{3})$

Step 5

Combine

$22$ and

$\frac{1}{3}$ .

$\frac{16}{7} \cdot \frac{22}{3}$

Step 6

Multiply

$\frac{16}{7} \cdot \frac{22}{3}$ .

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Step 6.1

Multiply

$\frac{16}{7}$ by

$\frac{22}{3}$ .

$\frac{16 \cdot 22}{7 \cdot 3}$

Step 6.2

Multiply

$16$ by

$22$ .

$\frac{352}{7 \cdot 3}$

Step 6.3

Multiply

$7$ by

$3$ .

$\frac{352}{21}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{352}{21}$

Decimal Form:

$16.76190476 \dots$

Mixed Number Form:

$16 \frac{16}{21}$