Basic Math Examples

\frac{11}{12} - \frac{5}{8}

$\frac{11}{12} - \frac{5}{8}$

Step 1

To write

\frac{11}{12}

$\frac{11}{12}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{11}{12} \cdot \frac{2}{2} - \frac{5}{8}

$\frac{11}{12} \cdot \frac{2}{2} - \frac{5}{8}$

Step 2

To write

- \frac{5}{8}

$- \frac{5}{8}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{11}{12} \cdot \frac{2}{2} - \frac{5}{8} \cdot \frac{3}{3}

$\frac{11}{12} \cdot \frac{2}{2} - \frac{5}{8} \cdot \frac{3}{3}$

Step 3

Write each expression with a common denominator of

24

$24$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{11}{12}

$\frac{11}{12}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{11 \cdot 2}{12 \cdot 2} - \frac{5}{8} \cdot \frac{3}{3}

$\frac{11 \cdot 2}{12 \cdot 2} - \frac{5}{8} \cdot \frac{3}{3}$

Step 3.2

Multiply

12

$12$ by

2

$2$ .

\frac{11 \cdot 2}{24} - \frac{5}{8} \cdot \frac{3}{3}

$\frac{11 \cdot 2}{24} - \frac{5}{8} \cdot \frac{3}{3}$

Step 3.3

Multiply

\frac{5}{8}

$\frac{5}{8}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{11 \cdot 2}{24} - \frac{5 \cdot 3}{8 \cdot 3}

$\frac{11 \cdot 2}{24} - \frac{5 \cdot 3}{8 \cdot 3}$

Step 3.4

Multiply

8

$8$ by

3

$3$ .

\frac{11 \cdot 2}{24} - \frac{5 \cdot 3}{24}

$\frac{11 \cdot 2}{24} - \frac{5 \cdot 3}{24}$

\frac{11 \cdot 2}{24} - \frac{5 \cdot 3}{24}

$\frac{11 \cdot 2}{24} - \frac{5 \cdot 3}{24}$

Step 4

Combine the numerators over the common denominator.

\frac{11 \cdot 2 - 5 \cdot 3}{24}

$\frac{11 \cdot 2 - 5 \cdot 3}{24}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

11

$11$ by

2

$2$ .

\frac{22 - 5 \cdot 3}{24}

$\frac{22 - 5 \cdot 3}{24}$

Step 5.2

Multiply

- 5

$- 5$ by

3

$3$ .

\frac{22 - 15}{24}

$\frac{22 - 15}{24}$

Step 5.3

Subtract

15

$15$ from

22

$22$ .

\frac{7}{24}

$\frac{7}{24}$

\frac{7}{24}

$\frac{7}{24}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{7}{24}

$\frac{7}{24}$

Decimal Form:

0.291 ¯ 6

$0.291\overline{6}$