Basic Math Examples

$\frac{13}{16} \cdot 30$ , $576$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $16$ .

$\frac{13}{2 (8)} \cdot 30, 576$

Step 1.2

Factor $2$ out of $30$ .

$\frac{13}{2 \cdot 8} \cdot (2 \cdot 15), 576$

Step 1.3

Cancel the common factor.

$\frac{13}{2 \cdot 8} \cdot (2 \cdot 15), 576$

Step 1.4

Rewrite the expression.

$\frac{13}{8} \cdot 15, 576$

Step 2

Combine $\frac{13}{8}$ and $15$ .

$\frac{13 \cdot 15}{8}, 576$

Step 3

Multiply $13$ by $15$ .

$\frac{195}{8}, 576$

Step 4

The mean of a set of numbers is the sum divided by the number of terms.

$\frac{\frac{195}{8} + 576}{2}$

Step 5

Simplify the numerator.

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Step 5.1

To write $576$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{\frac{195}{8} + 576 \cdot \frac{8}{8}}{2}$

Step 5.2

Combine $576$ and $\frac{8}{8}$ .

$\frac{\frac{195}{8} + \frac{576 \cdot 8}{8}}{2}$

Step 5.3

Combine the numerators over the common denominator.

$\frac{\frac{195 + 576 \cdot 8}{8}}{2}$

Step 5.4

Simplify the numerator.

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Step 5.4.1

Multiply $576$ by $8$ .

$\frac{\frac{195 + 4608}{8}}{2}$

Step 5.4.2

Add $195$ and $4608$ .

$\frac{\frac{4803}{8}}{2}$

Step 6

Multiply the numerator by the reciprocal of the denominator.

$\frac{4803}{8} \cdot \frac{1}{2}$

Step 7

Multiply $\frac{4803}{8} \cdot \frac{1}{2}$ .

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Step 7.1

Multiply $\frac{4803}{8}$ by $\frac{1}{2}$ .

$\frac{4803}{8 \cdot 2}$

Step 7.2

Multiply $8$ by $2$ .

$\frac{4803}{16}$

Step 8

Divide.

$300.1875$

Step 9

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

$300.2$