Basic Math Examples

\frac{14}{15} - \frac{12}{25}

$\frac{14}{15} - \frac{12}{25}$

Step 1

To write

\frac{14}{15}

$\frac{14}{15}$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{14}{15} \cdot \frac{5}{5} - \frac{12}{25}

$\frac{14}{15} \cdot \frac{5}{5} - \frac{12}{25}$

Step 2

To write

- \frac{12}{25}

$- \frac{12}{25}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{14}{15} \cdot \frac{5}{5} - \frac{12}{25} \cdot \frac{3}{3}

$\frac{14}{15} \cdot \frac{5}{5} - \frac{12}{25} \cdot \frac{3}{3}$

Step 3

Write each expression with a common denominator of

75

$75$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{14}{15}

$\frac{14}{15}$ by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{14 \cdot 5}{15 \cdot 5} - \frac{12}{25} \cdot \frac{3}{3}

$\frac{14 \cdot 5}{15 \cdot 5} - \frac{12}{25} \cdot \frac{3}{3}$

Step 3.2

Multiply

15

$15$ by

5

$5$ .

\frac{14 \cdot 5}{75} - \frac{12}{25} \cdot \frac{3}{3}

$\frac{14 \cdot 5}{75} - \frac{12}{25} \cdot \frac{3}{3}$

Step 3.3

Multiply

\frac{12}{25}

$\frac{12}{25}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{14 \cdot 5}{75} - \frac{12 \cdot 3}{25 \cdot 3}

$\frac{14 \cdot 5}{75} - \frac{12 \cdot 3}{25 \cdot 3}$

Step 3.4

Multiply

25

$25$ by

3

$3$ .

\frac{14 \cdot 5}{75} - \frac{12 \cdot 3}{75}

$\frac{14 \cdot 5}{75} - \frac{12 \cdot 3}{75}$

\frac{14 \cdot 5}{75} - \frac{12 \cdot 3}{75}

$\frac{14 \cdot 5}{75} - \frac{12 \cdot 3}{75}$

Step 4

Combine the numerators over the common denominator.

\frac{14 \cdot 5 - 12 \cdot 3}{75}

$\frac{14 \cdot 5 - 12 \cdot 3}{75}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$14$ by

$5$ .

$\frac{70 - 12 \cdot 3}{75}$

Step 5.2

Multiply

$- 12$ by

$3$ .

$\frac{70 - 36}{75}$

Step 5.3

Subtract

$36$ from

$70$ .

$\frac{34}{75}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{34}{75}$

Decimal Form:

$0.45\overline{3}$