Basic Math Examples

$\frac{3}{\frac{10}{\frac{4}{5}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$3 \frac{\frac{4}{5}}{10}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$3 (\frac{4}{5} \cdot \frac{1}{10})$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $4$ .

$3 (\frac{2 (2)}{5} \cdot \frac{1}{10})$

Step 3.2

Factor $2$ out of $10$ .

$3 (\frac{2 \cdot 2}{5} \cdot \frac{1}{2 \cdot 5})$

Step 3.3

Cancel the common factor.

$3 (\frac{2 \cdot 2}{5} \cdot \frac{1}{2 \cdot 5})$

Step 3.4

Rewrite the expression.

$3 (\frac{2}{5} \cdot \frac{1}{5})$

Step 4

Multiply $\frac{2}{5}$ by $\frac{1}{5}$ .

$3 \frac{2}{5 \cdot 5}$

Step 5

Multiply $5$ by $5$ .

$3 (\frac{2}{25})$

Step 6

Multiply $3 (\frac{2}{25})$ .

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Step 6.1

Combine $3$ and $\frac{2}{25}$ .

$\frac{3 \cdot 2}{25}$

Step 6.2

Multiply $3$ by $2$ .

$\frac{6}{25}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{25}$

Decimal Form:

$0.24$