Basic Math Examples

\frac{2}{7} \div \frac{4}{5}

$\frac{2}{7} \div \frac{4}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{2}{7} \cdot \frac{5}{4}

$\frac{2}{7} \cdot \frac{5}{4}$

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Factor

2

$2$ out of

4

$4$ .

\frac{2}{7} \cdot \frac{5}{2 (2)}

$\frac{2}{7} \cdot \frac{5}{2 (2)}$

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

Step 3

Multiply

$\frac{1}{7}$ by

$\frac{5}{2}$ .

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

Step 4

Multiply

$7$ by

$2$ .

$\frac{5}{14}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{14}$

Decimal Form:

$0.3\overline{571428}$