Basic Math Examples

\frac{5}{6} - \frac{3}{4}

$\frac{5}{6} - \frac{3}{4}$

Step 1

To write

\frac{5}{6}

$\frac{5}{6}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{5}{6} \cdot \frac{2}{2} - \frac{3}{4}

$\frac{5}{6} \cdot \frac{2}{2} - \frac{3}{4}$

Step 2

To write

- \frac{3}{4}

$- \frac{3}{4}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{5}{6} \cdot \frac{2}{2} - \frac{3}{4} \cdot \frac{3}{3}

$\frac{5}{6} \cdot \frac{2}{2} - \frac{3}{4} \cdot \frac{3}{3}$

Step 3

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 3.1

Multiply

\frac{5}{6}

$\frac{5}{6}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{5 \cdot 2}{6 \cdot 2} - \frac{3}{4} \cdot \frac{3}{3}

$\frac{5 \cdot 2}{6 \cdot 2} - \frac{3}{4} \cdot \frac{3}{3}$

Step 3.2

Multiply

6

$6$ by

2

$2$ .

\frac{5 \cdot 2}{12} - \frac{3}{4} \cdot \frac{3}{3}

$\frac{5 \cdot 2}{12} - \frac{3}{4} \cdot \frac{3}{3}$

Step 3.3

Multiply

\frac{3}{4}

$\frac{3}{4}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{5 \cdot 2}{12} - \frac{3 \cdot 3}{4 \cdot 3}

$\frac{5 \cdot 2}{12} - \frac{3 \cdot 3}{4 \cdot 3}$

Step 3.4

Multiply

4

$4$ by

3

$3$ .

\frac{5 \cdot 2}{12} - \frac{3 \cdot 3}{12}

$\frac{5 \cdot 2}{12} - \frac{3 \cdot 3}{12}$

\frac{5 \cdot 2}{12} - \frac{3 \cdot 3}{12}

$\frac{5 \cdot 2}{12} - \frac{3 \cdot 3}{12}$

Step 4

Combine the numerators over the common denominator.

\frac{5 \cdot 2 - 3 \cdot 3}{12}

$\frac{5 \cdot 2 - 3 \cdot 3}{12}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

5

$5$ by

2

$2$ .

\frac{10 - 3 \cdot 3}{12}

$\frac{10 - 3 \cdot 3}{12}$

Step 5.2

Multiply

- 3

$- 3$ by

3

$3$ .

\frac{10 - 9}{12}

$\frac{10 - 9}{12}$

Step 5.3

Subtract

9

$9$ from

10

$10$ .

\frac{1}{12}

$\frac{1}{12}$

\frac{1}{12}

$\frac{1}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{1}{12}

$\frac{1}{12}$

Decimal Form:

0.08 ¯ 3

$0.08\overline{3}$