Basic Math Examples

\frac{8}{9} - \frac{3}{5}

$\frac{8}{9} - \frac{3}{5}$

Step 1

To write

\frac{8}{9}

$\frac{8}{9}$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{8}{9} \cdot \frac{5}{5} - \frac{3}{5}

$\frac{8}{9} \cdot \frac{5}{5} - \frac{3}{5}$

Step 2

To write

- \frac{3}{5}

$- \frac{3}{5}$ as a fraction with a common denominator, multiply by

\frac{9}{9}

$\frac{9}{9}$ .

\frac{8}{9} \cdot \frac{5}{5} - \frac{3}{5} \cdot \frac{9}{9}

$\frac{8}{9} \cdot \frac{5}{5} - \frac{3}{5} \cdot \frac{9}{9}$

Step 3

Write each expression with a common denominator of

45

$45$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{8}{9}

$\frac{8}{9}$ by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{8 \cdot 5}{9 \cdot 5} - \frac{3}{5} \cdot \frac{9}{9}

$\frac{8 \cdot 5}{9 \cdot 5} - \frac{3}{5} \cdot \frac{9}{9}$

Step 3.2

Multiply

9

$9$ by

5

$5$ .

\frac{8 \cdot 5}{45} - \frac{3}{5} \cdot \frac{9}{9}

$\frac{8 \cdot 5}{45} - \frac{3}{5} \cdot \frac{9}{9}$

Step 3.3

Multiply

\frac{3}{5}

$\frac{3}{5}$ by

\frac{9}{9}

$\frac{9}{9}$ .

\frac{8 \cdot 5}{45} - \frac{3 \cdot 9}{5 \cdot 9}

$\frac{8 \cdot 5}{45} - \frac{3 \cdot 9}{5 \cdot 9}$

Step 3.4

Multiply

5

$5$ by

9

$9$ .

\frac{8 \cdot 5}{45} - \frac{3 \cdot 9}{45}

$\frac{8 \cdot 5}{45} - \frac{3 \cdot 9}{45}$

\frac{8 \cdot 5}{45} - \frac{3 \cdot 9}{45}

$\frac{8 \cdot 5}{45} - \frac{3 \cdot 9}{45}$

Step 4

Combine the numerators over the common denominator.

\frac{8 \cdot 5 - 3 \cdot 9}{45}

$\frac{8 \cdot 5 - 3 \cdot 9}{45}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

8

$8$ by

5

$5$ .

\frac{40 - 3 \cdot 9}{45}

$\frac{40 - 3 \cdot 9}{45}$

Step 5.2

Multiply

- 3

$- 3$ by

9

$9$ .

\frac{40 - 27}{45}

$\frac{40 - 27}{45}$

Step 5.3

Subtract

27

$27$ from

40

$40$ .

\frac{13}{45}

$\frac{13}{45}$

\frac{13}{45}

$\frac{13}{45}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{13}{45}

$\frac{13}{45}$

Decimal Form:

0.2\overline{8}

$0.2\overline{8}$