Basic Math Examples

\frac{11}{20} - \frac{3}{8}

$\frac{11}{20} - \frac{3}{8}$

Step 1

To write

\frac{11}{20}

$\frac{11}{20}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{11}{20} \cdot \frac{2}{2} - \frac{3}{8}

$\frac{11}{20} \cdot \frac{2}{2} - \frac{3}{8}$

Step 2

To write

- \frac{3}{8}

$- \frac{3}{8}$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{11}{20} \cdot \frac{2}{2} - \frac{3}{8} \cdot \frac{5}{5}

$\frac{11}{20} \cdot \frac{2}{2} - \frac{3}{8} \cdot \frac{5}{5}$

Step 3

Write each expression with a common denominator of

40

$40$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{11}{20}

$\frac{11}{20}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{11 \cdot 2}{20 \cdot 2} - \frac{3}{8} \cdot \frac{5}{5}

$\frac{11 \cdot 2}{20 \cdot 2} - \frac{3}{8} \cdot \frac{5}{5}$

Step 3.2

Multiply

20

$20$ by

2

$2$ .

\frac{11 \cdot 2}{40} - \frac{3}{8} \cdot \frac{5}{5}

$\frac{11 \cdot 2}{40} - \frac{3}{8} \cdot \frac{5}{5}$

Step 3.3

Multiply

\frac{3}{8}

$\frac{3}{8}$ by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{11 \cdot 2}{40} - \frac{3 \cdot 5}{8 \cdot 5}

$\frac{11 \cdot 2}{40} - \frac{3 \cdot 5}{8 \cdot 5}$

Step 3.4

Multiply

8

$8$ by

5

$5$ .

\frac{11 \cdot 2}{40} - \frac{3 \cdot 5}{40}

$\frac{11 \cdot 2}{40} - \frac{3 \cdot 5}{40}$

\frac{11 \cdot 2}{40} - \frac{3 \cdot 5}{40}

$\frac{11 \cdot 2}{40} - \frac{3 \cdot 5}{40}$

Step 4

Combine the numerators over the common denominator.

\frac{11 \cdot 2 - 3 \cdot 5}{40}

$\frac{11 \cdot 2 - 3 \cdot 5}{40}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

11

$11$ by

2

$2$ .

\frac{22 - 3 \cdot 5}{40}

$\frac{22 - 3 \cdot 5}{40}$

Step 5.2

Multiply

- 3

$- 3$ by

5

$5$ .

\frac{22 - 15}{40}

$\frac{22 - 15}{40}$

Step 5.3

Subtract

15

$15$ from

22

$22$ .

\frac{7}{40}

$\frac{7}{40}$

\frac{7}{40}

$\frac{7}{40}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{7}{40}

$\frac{7}{40}$

Decimal Form:

0.175

$0.175$