Basic Math Examples

\frac{11}{16} - \frac{1}{12}

$\frac{11}{16} - \frac{1}{12}$

Step 1

To write

\frac{11}{16}

$\frac{11}{16}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{11}{16} \cdot \frac{3}{3} - \frac{1}{12}

$\frac{11}{16} \cdot \frac{3}{3} - \frac{1}{12}$

Step 2

To write

- \frac{1}{12}

$- \frac{1}{12}$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{11}{16} \cdot \frac{3}{3} - \frac{1}{12} \cdot \frac{4}{4}

$\frac{11}{16} \cdot \frac{3}{3} - \frac{1}{12} \cdot \frac{4}{4}$

Step 3

Write each expression with a common denominator of

48

$48$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{11}{16}

$\frac{11}{16}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{11 \cdot 3}{16 \cdot 3} - \frac{1}{12} \cdot \frac{4}{4}

$\frac{11 \cdot 3}{16 \cdot 3} - \frac{1}{12} \cdot \frac{4}{4}$

Step 3.2

Multiply

16

$16$ by

3

$3$ .

\frac{11 \cdot 3}{48} - \frac{1}{12} \cdot \frac{4}{4}

$\frac{11 \cdot 3}{48} - \frac{1}{12} \cdot \frac{4}{4}$

Step 3.3

Multiply

\frac{1}{12}

$\frac{1}{12}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{11 \cdot 3}{48} - \frac{4}{12 \cdot 4}

$\frac{11 \cdot 3}{48} - \frac{4}{12 \cdot 4}$

Step 3.4

Multiply

12

$12$ by

4

$4$ .

\frac{11 \cdot 3}{48} - \frac{4}{48}

$\frac{11 \cdot 3}{48} - \frac{4}{48}$

\frac{11 \cdot 3}{48} - \frac{4}{48}

$\frac{11 \cdot 3}{48} - \frac{4}{48}$

Step 4

Combine the numerators over the common denominator.

\frac{11 \cdot 3 - 4}{48}

$\frac{11 \cdot 3 - 4}{48}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

11

$11$ by

3

$3$ .

\frac{33 - 4}{48}

$\frac{33 - 4}{48}$

Step 5.2

Subtract

4

$4$ from

33

$33$ .

\frac{29}{48}

$\frac{29}{48}$

\frac{29}{48}

$\frac{29}{48}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{29}{48}

$\frac{29}{48}$

Decimal Form:

0.6041 ¯ 6

$0.6041\overline{6}$