Basic Math Examples

$\frac{7 + | 5 - 10 | + 2^{3}}{9^{2} + (6 - 3)}$

Step 1

Remove parentheses.

$\frac{7 + | 5 - 10 | + 2^{3}}{9^{2} + 6 - 3}$

Step 2

Simplify the numerator.

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Step 2.1

Subtract $10$ from $5$ .

$\frac{7 + | - 5 | + 2^{3}}{9^{2} + 6 - 3}$

Step 2.2

The absolute value is the distance between a number and zero. The distance between $- 5$ and $0$ is $5$ .

$\frac{7 + 5 + 2^{3}}{9^{2} + 6 - 3}$

Step 2.3

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

$\frac{7 + 5 + 8}{9^{2} + 6 - 3}$

Step 2.4

Add $7$ and $5$ .

$\frac{12 + 8}{9^{2} + 6 - 3}$

Step 2.5

Add $12$ and $8$ .

$\frac{20}{9^{2} + 6 - 3}$

$\frac{20}{9^{2} + 6 - 3}$

Step 3

Simplify the denominator.

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Step 3.1

Raise $9$ to the power of $2$ .

$\frac{20}{81 + 6 - 3}$

Step 3.2

Add $81$ and $6$ .

$\frac{20}{87 - 3}$

Step 3.3

Subtract $3$ from $87$ .

$\frac{20}{84}$

$\frac{20}{84}$

Step 4

Cancel the common factor of $20$ and $84$ .

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Step 4.1

Factor $4$ out of $20$ .

$\frac{4 (5)}{84}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $4$ out of $84$ .

$\frac{4 \cdot 5}{4 \cdot 21}$

Step 4.2.2

Cancel the common factor.

$\frac{4 \cdot 5}{4 \cdot 21}$

Step 4.2.3

Rewrite the expression.

$\frac{5}{21}$

$\frac{5}{21}$

$\frac{5}{21}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{21}$

Decimal Form:

$0.\overline{238095}$

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