Basic Math Examples

$\frac{1}{\frac{3}{4}} \div \frac{28}{16}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{\frac{3}{4}} \cdot \frac{16}{28}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$1 (\frac{4}{3}) \frac{16}{28}$

Step 3

Multiply $\frac{4}{3}$ by $1$ .

$\frac{4}{3} \cdot \frac{16}{28}$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Factor $4$ out of $28$ .

$\frac{4}{3} \cdot \frac{16}{4 (7)}$

Step 4.2

Cancel the common factor.

$\frac{4}{3} \cdot \frac{16}{4 \cdot 7}$

Step 4.3

Rewrite the expression.

$\frac{1}{3} \cdot \frac{16}{7}$

Step 5

Multiply $\frac{1}{3}$ by $\frac{16}{7}$ .

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

Step 6

Multiply $3$ by $7$ .

$\frac{16}{21}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{21}$

Decimal Form:

$0.\overline{761904}$