Basic Math Examples

$\frac{2 - 3^{2}}{- 7 \cdot - 7}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $3$ to the power of $2$ .

$\frac{2 - 1 \cdot 9}{- 7 \cdot - 7}$

Step 1.2

Multiply $- 1$ by $9$ .

$\frac{2 - 9}{- 7 \cdot - 7}$

Step 1.3

Subtract $9$ from $2$ .

$\frac{- 7}{- 7 \cdot - 7}$

$\frac{- 7}{- 7 \cdot - 7}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Multiply $- 7$ by $- 7$ .

$\frac{- 7}{49}$

Step 2.2

Cancel the common factor of $- 7$ and $49$ .

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Step 2.2.1

Factor $7$ out of $- 7$ .

$\frac{7 (- 1)}{49}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $7$ out of $49$ .

$\frac{7 \cdot - 1}{7 \cdot 7}$

Step 2.2.2.2

Cancel the common factor.

$\frac{7 \cdot - 1}{7 \cdot 7}$

Step 2.2.2.3

Rewrite the expression.

$\frac{- 1}{7}$

$\frac{- 1}{7}$

$\frac{- 1}{7}$

Step 2.3

Move the negative in front of the fraction.

$- \frac{1}{7}$

$- \frac{1}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{7}$

Decimal Form:

$- 0.\overline{142857}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$