Basic Math Examples

$\frac{5}{7} \cdot \frac{4}{9} \div \frac{1}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{7} \cdot \frac{4}{9} \cdot 5$

Step 2

Multiply $\frac{5}{7} \cdot \frac{4}{9}$ .

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Step 2.1

Multiply $\frac{5}{7}$ by $\frac{4}{9}$ .

$\frac{5 \cdot 4}{7 \cdot 9} \cdot 5$

Step 2.2

Multiply $5$ by $4$ .

$\frac{20}{7 \cdot 9} \cdot 5$

Step 2.3

Multiply $7$ by $9$ .

$\frac{20}{63} \cdot 5$

$\frac{20}{63} \cdot 5$

Step 3

Multiply $\frac{20}{63} \cdot 5$ .

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Step 3.1

Combine $\frac{20}{63}$ and $5$ .

$\frac{20 \cdot 5}{63}$

Step 3.2

Multiply $20$ by $5$ .

$\frac{100}{63}$

$\frac{100}{63}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{100}{63}$

Decimal Form:

$1.\overline{587301}$

Mixed Number Form:

$1 \frac{37}{63}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$