Basic Math Examples

$\frac{3}{4} - \frac{3}{10}$

Step 1

To write

$\frac{3}{4}$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$\frac{3}{4} \cdot \frac{5}{5} - \frac{3}{10}$

Step 2

To write

$- \frac{3}{10}$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$\frac{3}{4} \cdot \frac{5}{5} - \frac{3}{10} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of

$20$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{3}{4}$ by

$\frac{5}{5}$ .

$\frac{3 \cdot 5}{4 \cdot 5} - \frac{3}{10} \cdot \frac{2}{2}$

Step 3.2

Multiply

$4$ by

$5$ .

$\frac{3 \cdot 5}{20} - \frac{3}{10} \cdot \frac{2}{2}$

Step 3.3

Multiply

$\frac{3}{10}$ by

$\frac{2}{2}$ .

$\frac{3 \cdot 5}{20} - \frac{3 \cdot 2}{10 \cdot 2}$

Step 3.4

Multiply

$10$ by

$2$ .

$\frac{3 \cdot 5}{20} - \frac{3 \cdot 2}{20}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 5 - 3 \cdot 2}{20}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$3$ by

$5$ .

$\frac{15 - 3 \cdot 2}{20}$

Step 5.2

Multiply

$- 3$ by

$2$ .

$\frac{15 - 6}{20}$

Step 5.3

Subtract

$6$ from

$15$ .

$\frac{9}{20}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{20}$

Decimal Form:

$0.45$