Basic Math Examples

$\frac{1}{6} + \frac{7}{12}$

Step 1

To write $\frac{1}{6}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{6} \cdot \frac{2}{2} + \frac{7}{12}$

Step 2

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{1}{6}$ by $\frac{2}{2}$ .

$\frac{2}{6 \cdot 2} + \frac{7}{12}$

Multiply $6$ by $2$ .

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

Step 3

Simplify the expression.

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Combine the numerators over the common denominator.

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

Add $2$ and $7$ .

$\frac{9}{12}$

Step 4

Cancel the common factor of $9$ and $12$ .

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Factor $3$ out of $9$ .

$\frac{3 (3)}{12}$

Cancel the common factors.

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Factor $3$ out of $12$ .

$\frac{3 \cdot 3}{3 \cdot 4}$

Cancel the common factor.

$\frac{3 \cdot 3}{3 \cdot 4}$

Rewrite the expression.

$\frac{3}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$