Basic Math Examples

$\frac{1}{3} - (- \frac{2}{5}) - \frac{3}{4}$

Step 1

Multiply

$- (- \frac{2}{5})$ .

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Step 1.1

Multiply

$- 1$ by

$- 1$ .

$\frac{1}{3} + 1 (\frac{2}{5}) - \frac{3}{4}$

Step 1.2

Multiply

$\frac{2}{5}$ by

$1$ .

$\frac{1}{3} + \frac{2}{5} - \frac{3}{4}$

Step 2

Find the common denominator.

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Step 2.1

Multiply

$\frac{1}{3}$ by

$\frac{20}{20}$ .

$\frac{1}{3} \cdot \frac{20}{20} + \frac{2}{5} - \frac{3}{4}$

Step 2.2

Multiply

$\frac{1}{3}$ by

$\frac{20}{20}$ .

$\frac{20}{3 \cdot 20} + \frac{2}{5} - \frac{3}{4}$

Step 2.3

Multiply

$\frac{2}{5}$ by

$\frac{12}{12}$ .

$\frac{20}{3 \cdot 20} + \frac{2}{5} \cdot \frac{12}{12} - \frac{3}{4}$

Step 2.4

Multiply

$\frac{2}{5}$ by

$\frac{12}{12}$ .

$\frac{20}{3 \cdot 20} + \frac{2 \cdot 12}{5 \cdot 12} - \frac{3}{4}$

Step 2.5

Multiply

$\frac{3}{4}$ by

$\frac{15}{15}$ .

$\frac{20}{3 \cdot 20} + \frac{2 \cdot 12}{5 \cdot 12} - (\frac{3}{4} \cdot \frac{15}{15})$

Step 2.6

Multiply

$\frac{3}{4}$ by

$\frac{15}{15}$ .

$\frac{20}{3 \cdot 20} + \frac{2 \cdot 12}{5 \cdot 12} - \frac{3 \cdot 15}{4 \cdot 15}$

Step 2.7

Multiply

$3$ by

$20$ .

$\frac{20}{60} + \frac{2 \cdot 12}{5 \cdot 12} - \frac{3 \cdot 15}{4 \cdot 15}$

Step 2.8

Multiply

$5$ by

$12$ .

$\frac{20}{60} + \frac{2 \cdot 12}{60} - \frac{3 \cdot 15}{4 \cdot 15}$

Step 2.9

Multiply

$4$ by

$15$ .

$\frac{20}{60} + \frac{2 \cdot 12}{60} - \frac{3 \cdot 15}{60}$

Step 3

Combine the numerators over the common denominator.

$\frac{20 + 2 \cdot 12 - 3 \cdot 15}{60}$

Step 4

Simplify each term.

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Step 4.1

Multiply

$2$ by

$12$ .

$\frac{20 + 24 - 3 \cdot 15}{60}$

Step 4.2

Multiply

$- 3$ by

$15$ .

$\frac{20 + 24 - 45}{60}$

Step 5

Simplify the expression.

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Step 5.1

Add

$20$ and

$24$ .

$\frac{44 - 45}{60}$

Step 5.2

Subtract

$45$ from

$44$ .

$\frac{- 1}{60}$

Step 5.3

Move the negative in front of the fraction.

$- \frac{1}{60}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{60}$

Decimal Form:

$- 0.01\overline{6}$