Pre-Algebra Examples

$(21 + 37 + 21 + 37) \div (8 + 8 + n + n)$

Step 1

Rewrite the division as a fraction.

$\frac{21 + 37 + 21 + 37}{8 + 8 + n + n}$

Step 2

Simplify the numerator.

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Step 2.1

Add $21$ and $37$ .

$\frac{58 + 21 + 37}{8 + 8 + n + n}$

Step 2.2

Add $58$ and $21$ .

$\frac{79 + 37}{8 + 8 + n + n}$

Step 2.3

Add $79$ and $37$ .

$\frac{116}{8 + 8 + n + n}$

$\frac{116}{8 + 8 + n + n}$

Step 3

Simplify the denominator.

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Step 3.1

Add $8$ and $8$ .

$\frac{116}{16 + n + n}$

Step 3.2

Add $n$ and $n$ .

$\frac{116}{16 + 2 n}$

Step 3.3

Factor $2$ out of $16 + 2 n$ .

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Step 3.3.1

Factor $2$ out of $16$ .

$\frac{116}{2 \cdot 8 + 2 n}$

Step 3.3.2

Factor $2$ out of $2 \cdot 8 + 2 n$ .

$\frac{116}{2 (8 + n)}$

$\frac{116}{2 (8 + n)}$

$\frac{116}{2 (8 + n)}$

Step 4

Cancel the common factor of $116$ and $2$ .

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Step 4.1

Factor $2$ out of $116$ .

$\frac{2 \cdot 58}{2 (8 + n)}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Cancel the common factor.

$\frac{2 \cdot 58}{2 (8 + n)}$

Step 4.2.2

Rewrite the expression.

$\frac{58}{8 + n}$

$\frac{58}{8 + n}$

$\frac{58}{8 + n}$

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