Basic Math Examples

$\frac{12}{7} + \frac{2}{9}$

To write $\frac{12}{7}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{12}{7} \cdot \frac{9}{9} + \frac{2}{9}$

To write $\frac{2}{9}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{12}{7} \cdot \frac{9}{9} + \frac{2}{9} \cdot \frac{7}{7}$

Write each expression with a common denominator of $63$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{12}{7}$ by $\frac{9}{9}$ .

$\frac{12 \cdot 9}{7 \cdot 9} + \frac{2}{9} \cdot \frac{7}{7}$

Multiply $7$ by $9$ .

$\frac{12 \cdot 9}{63} + \frac{2}{9} \cdot \frac{7}{7}$

Multiply $\frac{2}{9}$ by $\frac{7}{7}$ .

$\frac{12 \cdot 9}{63} + \frac{2 \cdot 7}{9 \cdot 7}$

Multiply $9$ by $7$ .

$\frac{12 \cdot 9}{63} + \frac{2 \cdot 7}{63}$

Combine the numerators over the common denominator.

$\frac{12 \cdot 9 + 2 \cdot 7}{63}$

Simplify the numerator.

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Multiply $12$ by $9$ .

$\frac{108 + 2 \cdot 7}{63}$

Multiply $2$ by $7$ .

$\frac{108 + 14}{63}$

Add $108$ and $14$ .

$\frac{122}{63}$

The result can be shown in multiple forms.

Exact Form:

$\frac{122}{63}$

Decimal Form:

$1.\overline{936507}$

Mixed Number Form:

$1 \frac{59}{63}$