Basic Math Examples

$\frac{2}{3}$ of $48$

Step 1

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

$\frac{\frac{2}{3} + 48}{2}$

Step 2

Cancel the common factor of $\frac{2}{3} + 48$ and $2$ .

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Step 2.1

Factor $2$ out of $\frac{2}{3}$ .

$\frac{2 (\frac{1}{3}) + 48}{2}$

Step 2.2

Factor $2$ out of $48$ .

$\frac{2 (\frac{1}{3}) + 2 \cdot 24}{2}$

Step 2.3

Factor $2$ out of $2 (\frac{1}{3}) + 2 \cdot 24$ .

$\frac{2 (\frac{1}{3} + 24)}{2}$

Step 2.4

Cancel the common factors.

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Step 2.4.1

Factor $2$ out of $2$ .

$\frac{2 (\frac{1}{3} + 24)}{2 (1)}$

Step 2.4.2

Cancel the common factor.

$\frac{2 (\frac{1}{3} + 24)}{2 \cdot 1}$

Step 2.4.3

Rewrite the expression.

$\frac{\frac{1}{3} + 24}{1}$

Step 2.4.4

Divide $\frac{1}{3} + 24$ by $1$ .

$\frac{1}{3} + 24$

Step 3

To write $24$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{1}{3} + 24 \cdot \frac{3}{3}$

Step 4

Combine $24$ and $\frac{3}{3}$ .

$\frac{1}{3} + \frac{24 \cdot 3}{3}$

Step 5

Combine the numerators over the common denominator.

$\frac{1 + 24 \cdot 3}{3}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $24$ by $3$ .

$\frac{1 + 72}{3}$

Step 6.2

Add $1$ and $72$ .

$\frac{73}{3}$

Step 7

Divide.

$24.\overline{3}$

Step 8

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.

$24.3$