Basic Math Examples

\frac{11}{15} - \frac{4}{5}

$\frac{11}{15} - \frac{4}{5}$

Step 1

To write

- \frac{4}{5}

$- \frac{4}{5}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{11}{15} - \frac{4}{5} \cdot \frac{3}{3}

$\frac{11}{15} - \frac{4}{5} \cdot \frac{3}{3}$

Step 2

Write each expression with a common denominator of

15

$15$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{4}{5}

$\frac{4}{5}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{11}{15} - \frac{4 \cdot 3}{5 \cdot 3}

$\frac{11}{15} - \frac{4 \cdot 3}{5 \cdot 3}$

Step 2.2

Multiply

5

$5$ by

3

$3$ .

\frac{11}{15} - \frac{4 \cdot 3}{15}

$\frac{11}{15} - \frac{4 \cdot 3}{15}$

\frac{11}{15} - \frac{4 \cdot 3}{15}

$\frac{11}{15} - \frac{4 \cdot 3}{15}$

Step 3

Combine the numerators over the common denominator.

\frac{11 - 4 \cdot 3}{15}

$\frac{11 - 4 \cdot 3}{15}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

- 4

$- 4$ by

3

$3$ .

\frac{11 - 12}{15}

$\frac{11 - 12}{15}$

Step 4.2

Subtract

12

$12$ from

11

$11$ .

\frac{- 1}{15}

$\frac{- 1}{15}$

\frac{- 1}{15}

$\frac{- 1}{15}$

Step 5

Move the negative in front of the fraction.

- \frac{1}{15}

$- \frac{1}{15}$

Step 6

The result can be shown in multiple forms.

Exact Form:

- \frac{1}{15}

$- \frac{1}{15}$

Decimal Form:

- 0.0\overline{6}

$- 0.0\overline{6}$