Basic Math Examples

$y = \frac{5}{12} \cdot {(8)}^{2}$

Step 1

Remove parentheses.

$y = \frac{5}{12} \cdot 8^{2}$

Step 2

Simplify $\frac{5}{12} \cdot 8^{2}$ .

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Step 2.1

Raise $8$ to the power of $2$ .

$y = \frac{5}{12} \cdot 64$

Step 2.2

Cancel the common factor of $4$ .

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Step 2.2.1

Factor $4$ out of $12$ .

$y = \frac{5}{4 (3)} \cdot 64$

Step 2.2.2

Factor $4$ out of $64$ .

$y = \frac{5}{4 \cdot 3} \cdot (4 \cdot 16)$

Step 2.2.3

Cancel the common factor.

$y = \frac{5}{4 \cdot 3} \cdot (4 \cdot 16)$

Step 2.2.4

Rewrite the expression.

$y = \frac{5}{3} \cdot 16$

$y = \frac{5}{3} \cdot 16$

Step 2.3

Combine $\frac{5}{3}$ and $16$ .

$y = \frac{5 \cdot 16}{3}$

Step 2.4

Multiply $5$ by $16$ .

$y = \frac{80}{3}$

$y = \frac{80}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$y = \frac{80}{3}$

Decimal Form:

$y = 26.\overline{6}$

Mixed Number Form:

$y = 26 \frac{2}{3}$

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