Basic Math Examples

\frac{\frac{4}{7}}{\frac{2}{3}}

$\frac{\frac{4}{7}}{\frac{2}{3}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

\frac{4}{7} \cdot \frac{3}{2}

$\frac{4}{7} \cdot \frac{3}{2}$

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 (2)}{7} \cdot \frac{3}{2}

$\frac{2 (2)}{7} \cdot \frac{3}{2}$

Step 2.2

Cancel the common factor.

$\frac{2 \cdot 2}{7} \cdot \frac{3}{2}$

Step 2.3

Rewrite the expression.

$\frac{2}{7} \cdot 3$

Step 3

Combine

$\frac{2}{7}$ and

$3$ .

$\frac{2 \cdot 3}{7}$

Step 4

Multiply

$2$ by

$3$ .

$\frac{6}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{7}$

Decimal Form:

$0.\overline{857142}$