Basic Math Examples

$\frac{3}{4} \div \frac{5}{28} \div \frac{7}{4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{4} \div \frac{5}{28} \cdot \frac{4}{7}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{4} \cdot \frac{28}{5} \frac{4}{7}$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Factor $4$ out of $28$ .

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

Step 3.2

Cancel the common factor.

$\frac{3}{4} \cdot \frac{4 \cdot 7}{5} \frac{4}{7}$

Step 3.3

Rewrite the expression.

$3 (\frac{7}{5}) \frac{4}{7}$

Step 4

Combine $3$ and $\frac{7}{5}$ .

$\frac{3 \cdot 7}{5} \cdot \frac{4}{7}$

Step 5

Multiply $3$ by $7$ .

$\frac{21}{5} \cdot \frac{4}{7}$

Step 6

Cancel the common factor of $7$ .

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Step 6.1

Factor $7$ out of $21$ .

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

Step 6.2

Cancel the common factor.

$\frac{7 \cdot 3}{5} \cdot \frac{4}{7}$

Step 6.3

Rewrite the expression.

$\frac{3}{5} \cdot 4$

Step 7

Combine $\frac{3}{5}$ and $4$ .

$\frac{3 \cdot 4}{5}$

Step 8

Multiply $3$ by $4$ .

$\frac{12}{5}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{12}{5}$

Decimal Form:

$2.4$

Mixed Number Form:

$2 \frac{2}{5}$