Basic Math Examples

$\frac{4}{9} \cdot 1 \frac{4}{5} \cdot \frac{2}{5}$

Step 1

Convert $1 \frac{4}{5}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$\frac{4}{9} \cdot (1 + \frac{4}{5}) \cdot \frac{2}{5}$

Step 1.2

Add $1$ and $\frac{4}{5}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$\frac{4}{9} \cdot (\frac{5}{5} + \frac{4}{5}) \cdot \frac{2}{5}$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{4}{9} \cdot \frac{5 + 4}{5} \cdot \frac{2}{5}$

Step 1.2.3

Add $5$ and $4$ .

$\frac{4}{9} \cdot \frac{9}{5} \cdot \frac{2}{5}$

Step 2

Cancel the common factor of $9$ .

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Step 2.1

Cancel the common factor.

$\frac{4}{9} \cdot \frac{9}{5} \cdot \frac{2}{5}$

Step 2.2

Rewrite the expression.

$4 \cdot \frac{1}{5} \cdot \frac{2}{5}$

Step 3

Combine $4$ and $\frac{1}{5}$ .

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

Step 4

Multiply $\frac{4}{5} \cdot \frac{2}{5}$ .

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Step 4.1

Multiply $\frac{4}{5}$ by $\frac{2}{5}$ .

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

Step 4.2

Multiply $4$ by $2$ .

$\frac{8}{5 \cdot 5}$

Step 4.3

Multiply $5$ by $5$ .

$\frac{8}{25}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{25}$

Decimal Form:

$0.32$