Basic Math Examples

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

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

Step 1

Cancel the common factor of

2

$2$ and

6

$6$ .

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Step 1.1

Factor

2

$2$ out of

2

$2$ .

\frac{1}{4} + \frac{2 (1)}{6}

$\frac{1}{4} + \frac{2 (1)}{6}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

2

$2$ out of

6

$6$ .

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

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

$\frac{1}{4} + \frac{1}{3}$

Step 2

To write

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

$\frac{3}{3}$ .

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

Step 3

To write

$\frac{1}{3}$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

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

Step 4

Write each expression with a common denominator of

$12$ , by multiplying each by an appropriate factor of

$1$ .

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Step 4.1

Multiply

$\frac{1}{4}$ by

$\frac{3}{3}$ .

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

Step 4.2

Multiply

$4$ by

$3$ .

$\frac{3}{12} + \frac{1}{3} \cdot \frac{4}{4}$

Step 4.3

Multiply

$\frac{1}{3}$ by

$\frac{4}{4}$ .

$\frac{3}{12} + \frac{4}{3 \cdot 4}$

Step 4.4

Multiply

$3$ by

$4$ .

$\frac{3}{12} + \frac{4}{12}$

Step 5

Combine the numerators over the common denominator.

$\frac{3 + 4}{12}$

Step 6

Add

$3$ and

$4$ .

$\frac{7}{12}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{12}$

Decimal Form:

$0.58\overline{3}$