Basic Math Examples

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

Step 1

Convert $1 \frac{5}{9}$ to an improper fraction.

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Step 1.1

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

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

Step 1.2

Add $1$ and $\frac{5}{9}$ .

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Step 1.2.1

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

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add $9$ and $5$ .

$\frac{14}{9} \cdot \frac{2}{9}$

Step 2

Multiply $\frac{14}{9} \cdot \frac{2}{9}$ .

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Step 2.1

Multiply $\frac{14}{9}$ by $\frac{2}{9}$ .

$\frac{14 \cdot 2}{9 \cdot 9}$

Step 2.2

Multiply $14$ by $2$ .

$\frac{28}{9 \cdot 9}$

Step 2.3

Multiply $9$ by $9$ .

$\frac{28}{81}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{28}{81}$

Decimal Form:

$0.34567901 \dots$