Pre-Algebra Examples

$\frac{- 2^{2} - 7}{7 (- 2) + 4}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $2$ to the power of $2$ .

$\frac{- 1 \cdot 4 - 7}{7 (- 2) + 4}$

Step 1.2

Multiply $- 1$ by $4$ .

$\frac{- 4 - 7}{7 (- 2) + 4}$

Step 1.3

Subtract $7$ from $- 4$ .

$\frac{- 11}{7 (- 2) + 4}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $7$ by $- 2$ .

$\frac{- 11}{- 14 + 4}$

Step 2.2

Add $- 14$ and $4$ .

$\frac{- 11}{- 10}$

Step 3

Dividing two negative values results in a positive value.

$\frac{11}{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{10}$

Decimal Form:

$1.1$

Mixed Number Form:

$1 \frac{1}{10}$