Basic Math Examples

$\frac{2}{3} - \frac{4}{25}$

Step 1

To write

$\frac{2}{3}$ as a fraction with a common denominator, multiply by

$\frac{25}{25}$ .

$\frac{2}{3} \cdot \frac{25}{25} - \frac{4}{25}$

Step 2

To write

$- \frac{4}{25}$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{2}{3} \cdot \frac{25}{25} - \frac{4}{25} \cdot \frac{3}{3}$

Step 3

Write each expression with a common denominator of

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

$1$ .

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Step 3.1

Multiply

$\frac{2}{3}$ by

$\frac{25}{25}$ .

$\frac{2 \cdot 25}{3 \cdot 25} - \frac{4}{25} \cdot \frac{3}{3}$

Step 3.2

Multiply

$3$ by

$25$ .

$\frac{2 \cdot 25}{75} - \frac{4}{25} \cdot \frac{3}{3}$

Step 3.3

Multiply

$\frac{4}{25}$ by

$\frac{3}{3}$ .

$\frac{2 \cdot 25}{75} - \frac{4 \cdot 3}{25 \cdot 3}$

Step 3.4

Multiply

$25$ by

$3$ .

$\frac{2 \cdot 25}{75} - \frac{4 \cdot 3}{75}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 \cdot 25 - 4 \cdot 3}{75}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$2$ by

$25$ .

$\frac{50 - 4 \cdot 3}{75}$

Step 5.2

Multiply

$- 4$ by

$3$ .

$\frac{50 - 12}{75}$

Step 5.3

Subtract

$12$ from

$50$ .

$\frac{38}{75}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{38}{75}$

Decimal Form:

$0.50\overline{6}$