Pre-Algebra Examples

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

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

Step 1

Simplify each term.

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Step 1.1

Move the negative in front of the fraction.

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

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

Step 1.2

Move the negative in front of the fraction.

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

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

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

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

Step 2

To write

- \frac{1}{2}

$- \frac{1}{2}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 3

Write each expression with a common denominator of

4

$4$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{1}{2}

$\frac{1}{2}$ by

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 3.2

Multiply

2

$2$ by

2

$2$ .

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

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

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

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

Step 4

Combine the numerators over the common denominator.

\frac{- 3 - 2}{4}

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

Step 5

Subtract

2

$2$ from

- 3

$- 3$ .

\frac{- 5}{4}

$\frac{- 5}{4}$

Step 6

Move the negative in front of the fraction.

- \frac{5}{4}

$- \frac{5}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

- \frac{5}{4}

$- \frac{5}{4}$

Decimal Form:

- 1.25

$- 1.25$

Mixed Number Form:

- 1 \frac{1}{4}

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

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

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

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