Basic Math Examples

\frac{7}{12} + \frac{1}{4}

$\frac{7}{12} + \frac{1}{4}$

Step 1

To write

\frac{1}{4}

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

\frac{3}{3}

$\frac{3}{3}$ .

\frac{7}{12} + \frac{1}{4} \cdot \frac{3}{3}

$\frac{7}{12} + \frac{1}{4} \cdot \frac{3}{3}$

Step 2

Write each expression with a common denominator of

12

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

1

$1$ .

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Step 2.1

Multiply

\frac{1}{4}

$\frac{1}{4}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{7}{12} + \frac{3}{4 \cdot 3}

$\frac{7}{12} + \frac{3}{4 \cdot 3}$

Step 2.2

Multiply

4

$4$ by

3

$3$ .

\frac{7}{12} + \frac{3}{12}

$\frac{7}{12} + \frac{3}{12}$

\frac{7}{12} + \frac{3}{12}

$\frac{7}{12} + \frac{3}{12}$

Step 3

Simplify the expression.

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Step 3.1

Combine the numerators over the common denominator.

\frac{7 + 3}{12}

$\frac{7 + 3}{12}$

Step 3.2

Add

7

$7$ and

3

$3$ .

\frac{10}{12}

$\frac{10}{12}$

\frac{10}{12}

$\frac{10}{12}$

Step 4

Cancel the common factor of

10

$10$ and

12

$12$ .

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Step 4.1

Factor

2

$2$ out of

10

$10$ .

\frac{2 (5)}{12}

$\frac{2 (5)}{12}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor

2

$2$ out of

12

$12$ .

\frac{2 \cdot 5}{2 \cdot 6}

$\frac{2 \cdot 5}{2 \cdot 6}$

Step 4.2.2

Cancel the common factor.

\frac{2 \cdot 5}{2 \cdot 6}

$\frac{2 \cdot 5}{2 \cdot 6}$

Step 4.2.3

Rewrite the expression.

\frac{5}{6}

$\frac{5}{6}$

\frac{5}{6}

$\frac{5}{6}$

\frac{5}{6}

$\frac{5}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{5}{6}

$\frac{5}{6}$

Decimal Form:

0.8\overline{3}

$0.8\overline{3}$