Basic Math Examples

\frac{9}{10} - \frac{8}{15}

$\frac{9}{10} - \frac{8}{15}$

Step 1

To write

\frac{9}{10}

$\frac{9}{10}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{9}{10} \cdot \frac{3}{3} - \frac{8}{15}

$\frac{9}{10} \cdot \frac{3}{3} - \frac{8}{15}$

Step 2

To write

- \frac{8}{15}

$- \frac{8}{15}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{9}{10} \cdot \frac{3}{3} - \frac{8}{15} \cdot \frac{2}{2}

$\frac{9}{10} \cdot \frac{3}{3} - \frac{8}{15} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of

30

$30$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{9}{10}

$\frac{9}{10}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{9 \cdot 3}{10 \cdot 3} - \frac{8}{15} \cdot \frac{2}{2}

$\frac{9 \cdot 3}{10 \cdot 3} - \frac{8}{15} \cdot \frac{2}{2}$

Step 3.2

Multiply

10

$10$ by

3

$3$ .

\frac{9 \cdot 3}{30} - \frac{8}{15} \cdot \frac{2}{2}

$\frac{9 \cdot 3}{30} - \frac{8}{15} \cdot \frac{2}{2}$

Step 3.3

Multiply

\frac{8}{15}

$\frac{8}{15}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{9 \cdot 3}{30} - \frac{8 \cdot 2}{15 \cdot 2}

$\frac{9 \cdot 3}{30} - \frac{8 \cdot 2}{15 \cdot 2}$

Step 3.4

Multiply

15

$15$ by

2

$2$ .

\frac{9 \cdot 3}{30} - \frac{8 \cdot 2}{30}

$\frac{9 \cdot 3}{30} - \frac{8 \cdot 2}{30}$

\frac{9 \cdot 3}{30} - \frac{8 \cdot 2}{30}

$\frac{9 \cdot 3}{30} - \frac{8 \cdot 2}{30}$

Step 4

Combine the numerators over the common denominator.

\frac{9 \cdot 3 - 8 \cdot 2}{30}

$\frac{9 \cdot 3 - 8 \cdot 2}{30}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

9

$9$ by

3

$3$ .

\frac{27 - 8 \cdot 2}{30}

$\frac{27 - 8 \cdot 2}{30}$

Step 5.2

Multiply

- 8

$- 8$ by

2

$2$ .

\frac{27 - 16}{30}

$\frac{27 - 16}{30}$

Step 5.3

Subtract

16

$16$ from

27

$27$ .

\frac{11}{30}

$\frac{11}{30}$

\frac{11}{30}

$\frac{11}{30}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{11}{30}

$\frac{11}{30}$

Decimal Form:

0.3\overline{6}

$0.3\overline{6}$