Basic Math Examples

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

Step 1

Combine fractions.

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Step 1.1

Combine the numerators over the common denominator.

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

Step 1.2

Simplify by subtracting numbers.

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Step 1.2.1

Subtract $2$ from $2$ .

$\frac{- 1}{4} + \frac{0 - 2}{3}$

Step 1.2.2

Subtract $2$ from $0$ .

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

Step 2

Simplify each term.

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Step 2.1

Move the negative in front of the fraction.

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

Step 2.2

Move the negative in front of the fraction.

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

Step 3

To write $- \frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{1}{4} \cdot \frac{3}{3} - \frac{2}{3}$

Step 4

To write $- \frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$- \frac{1}{4} \cdot \frac{3}{3} - \frac{2}{3} \cdot \frac{4}{4}$

Step 5

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Step 5.1

Multiply $\frac{1}{4}$ by $\frac{3}{3}$ .

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

Step 5.2

Multiply $4$ by $3$ .

$- \frac{3}{12} - \frac{2}{3} \cdot \frac{4}{4}$

Step 5.3

Multiply $\frac{2}{3}$ by $\frac{4}{4}$ .

$- \frac{3}{12} - \frac{2 \cdot 4}{3 \cdot 4}$

Step 5.4

Multiply $3$ by $4$ .

$- \frac{3}{12} - \frac{2 \cdot 4}{12}$

Step 6

Combine the numerators over the common denominator.

$\frac{- 3 - 2 \cdot 4}{12}$

Step 7

Simplify the numerator.

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Step 7.1

Multiply $- 2$ by $4$ .

$\frac{- 3 - 8}{12}$

Step 7.2

Subtract $8$ from $- 3$ .

$\frac{- 11}{12}$

Step 8

Move the negative in front of the fraction.

$- \frac{11}{12}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$- \frac{11}{12}$

Decimal Form:

$- 0.91\overline{6}$