Basic Math Examples

$\frac{1}{3} \cdot (\frac{1}{8} + \frac{1}{4}) \cdot 12$

Step 1

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{3} \cdot (\frac{1}{8} + \frac{1}{4} \cdot \frac{2}{2}) \cdot 12$

Step 2

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{1}{4}$ by $\frac{2}{2}$ .

$\frac{1}{3} \cdot (\frac{1}{8} + \frac{2}{4 \cdot 2}) \cdot 12$

Step 2.2

Multiply $4$ by $2$ .

$\frac{1}{3} \cdot (\frac{1}{8} + \frac{2}{8}) \cdot 12$

Step 3

Simplify the expression.

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Step 3.1

Combine the numerators over the common denominator.

$\frac{1}{3} \cdot \frac{1 + 2}{8} \cdot 12$

Step 3.2

Add $1$ and $2$ .

$\frac{1}{3} \cdot \frac{3}{8} \cdot 12$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Cancel the common factor.

$\frac{1}{3} \cdot \frac{3}{8} \cdot 12$

Step 4.2

Rewrite the expression.

$\frac{1}{8} \cdot 12$

Step 5

Cancel the common factor of $4$ .

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Step 5.1

Factor $4$ out of $8$ .

$\frac{1}{4 (2)} \cdot 12$

Step 5.2

Factor $4$ out of $12$ .

$\frac{1}{4 \cdot 2} \cdot (4 \cdot 3)$

Step 5.3

Cancel the common factor.

$\frac{1}{4 \cdot 2} \cdot (4 \cdot 3)$

Step 5.4

Rewrite the expression.

$\frac{1}{2} \cdot 3$

Step 6

Combine $\frac{1}{2}$ and $3$ .

$\frac{3}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$