Basic Math Examples

\frac{1}{4} \cdot \frac{1}{3} + \frac{1}{2} \cdot \frac{1}{6}

$\frac{1}{4} \cdot \frac{1}{3} + \frac{1}{2} \cdot \frac{1}{6}$

Step 1

Simplify each term.

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Step 1.1

Multiply

\frac{1}{4} \cdot \frac{1}{3}

$\frac{1}{4} \cdot \frac{1}{3}$ .

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Step 1.1.1

Multiply

\frac{1}{4}

$\frac{1}{4}$ by

\frac{1}{3}

$\frac{1}{3}$ .

\frac{1}{4 \cdot 3} + \frac{1}{2} \cdot \frac{1}{6}

$\frac{1}{4 \cdot 3} + \frac{1}{2} \cdot \frac{1}{6}$

Step 1.1.2

Multiply

4

$4$ by

3

$3$ .

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

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

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

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

Step 1.2

Multiply

\frac{1}{2} \cdot \frac{1}{6}

$\frac{1}{2} \cdot \frac{1}{6}$ .

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Step 1.2.1

Multiply

\frac{1}{2}

$\frac{1}{2}$ by

\frac{1}{6}

$\frac{1}{6}$ .

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

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

Step 1.2.2

Multiply

2

$2$ by

6

$6$ .

\frac{1}{12} + \frac{1}{12}

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

\frac{1}{12} + \frac{1}{12}

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

\frac{1}{12} + \frac{1}{12}

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

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

\frac{1 + 1}{12}

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

Step 2.2

Add

1

$1$ and

1

$1$ .

\frac{2}{12}

$\frac{2}{12}$

Step 2.3

Cancel the common factor of

2

$2$ and

12

$12$ .

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Step 2.3.1

Factor

2

$2$ out of

2

$2$ .

\frac{2 (1)}{12}

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

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor

2

$2$ out of

12

$12$ .

\frac{2 \cdot 1}{2 \cdot 6}

$\frac{2 \cdot 1}{2 \cdot 6}$

Step 2.3.2.2

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 6}$

Step 2.3.2.3

Rewrite the expression.

$\frac{1}{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{6}$

Decimal Form:

$0.1\overline{6}$