Basic Math Examples

$\frac{6^{2} + 5 (6) + 4}{- 4^{2} + 9 (- 4) + 20}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $6$ to the power of $2$ .

$\frac{36 + 5 (6) + 4}{- 4^{2} + 9 (- 4) + 20}$

Step 1.2

Multiply $5$ by $6$ .

$\frac{36 + 30 + 4}{- 4^{2} + 9 (- 4) + 20}$

Step 1.3

Add $36$ and $30$ .

$\frac{66 + 4}{- 4^{2} + 9 (- 4) + 20}$

Step 1.4

Add $66$ and $4$ .

$\frac{70}{- 4^{2} + 9 (- 4) + 20}$

$\frac{70}{- 4^{2} + 9 (- 4) + 20}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $4$ to the power of $2$ .

$\frac{70}{- 1 \cdot 16 + 9 (- 4) + 20}$

Step 2.2

Multiply $- 1$ by $16$ .

$\frac{70}{- 16 + 9 (- 4) + 20}$

Step 2.3

Multiply $9$ by $- 4$ .

$\frac{70}{- 16 - 36 + 20}$

Step 2.4

Subtract $36$ from $- 16$ .

$\frac{70}{- 52 + 20}$

Step 2.5

Add $- 52$ and $20$ .

$\frac{70}{- 32}$

$\frac{70}{- 32}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Cancel the common factor of $70$ and $- 32$ .

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Step 3.1.1

Factor $2$ out of $70$ .

$\frac{2 (35)}{- 32}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $2$ out of $- 32$ .

$\frac{2 \cdot 35}{2 \cdot - 16}$

Step 3.1.2.2

Cancel the common factor.

$\frac{2 \cdot 35}{2 \cdot - 16}$

Step 3.1.2.3

Rewrite the expression.

$\frac{35}{- 16}$

$\frac{35}{- 16}$

$\frac{35}{- 16}$

Step 3.2

Move the negative in front of the fraction.

$- \frac{35}{16}$

$- \frac{35}{16}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{35}{16}$

Decimal Form:

$- 2.1875$

Mixed Number Form:

$- 2 \frac{3}{16}$

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