Basic Math Examples

$\frac{1}{4}$ , $\frac{11}{12}$ , $\frac{5}{24}$

Step 1

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

$\frac{\frac{1}{4} + \frac{11}{12} + \frac{5}{24}}{3}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{\frac{1}{4} \cdot \frac{3}{3} + \frac{11}{12} + \frac{5}{24}}{3}$

Step 2.2

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 2.2.1

Multiply $\frac{1}{4}$ by $\frac{3}{3}$ .

$\frac{\frac{3}{4 \cdot 3} + \frac{11}{12} + \frac{5}{24}}{3}$

Step 2.2.2

Multiply $4$ by $3$ .

$\frac{\frac{3}{12} + \frac{11}{12} + \frac{5}{24}}{3}$

Step 2.3

Combine the numerators over the common denominator.

$\frac{\frac{3 + 11}{12} + \frac{5}{24}}{3}$

Step 2.4

Add $3$ and $11$ .

$\frac{\frac{14}{12} + \frac{5}{24}}{3}$

Step 2.5

To write $\frac{14}{12}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{\frac{14}{12} \cdot \frac{2}{2} + \frac{5}{24}}{3}$

Step 2.6

Write each expression with a common denominator of $24$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 2.6.1

Multiply $\frac{14}{12}$ by $\frac{2}{2}$ .

$\frac{\frac{14 \cdot 2}{12 \cdot 2} + \frac{5}{24}}{3}$

Step 2.6.2

Multiply $12$ by $2$ .

$\frac{\frac{14 \cdot 2}{24} + \frac{5}{24}}{3}$

Step 2.7

Combine the numerators over the common denominator.

$\frac{\frac{14 \cdot 2 + 5}{24}}{3}$

Step 2.8

Simplify the numerator.

Tap for more steps...

Step 2.8.1

Multiply $14$ by $2$ .

$\frac{\frac{28 + 5}{24}}{3}$

Step 2.8.2

Add $28$ and $5$ .

$\frac{\frac{33}{24}}{3}$

Step 2.9

Cancel the common factor of $33$ and $24$ .

Tap for more steps...

Step 2.9.1

Factor $3$ out of $33$ .

$\frac{\frac{3 (11)}{24}}{3}$

Step 2.9.2

Cancel the common factors.

Tap for more steps...

Step 2.9.2.1

Factor $3$ out of $24$ .

$\frac{\frac{3 \cdot 11}{3 \cdot 8}}{3}$

Step 2.9.2.2

Cancel the common factor.

$\frac{\frac{3 \cdot 11}{3 \cdot 8}}{3}$

Step 2.9.2.3

Rewrite the expression.

$\frac{\frac{11}{8}}{3}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{11}{8} \cdot \frac{1}{3}$

Step 4

Multiply $\frac{11}{8} \cdot \frac{1}{3}$ .

Tap for more steps...

Step 4.1

Multiply $\frac{11}{8}$ by $\frac{1}{3}$ .

$\frac{11}{8 \cdot 3}$

Step 4.2

Multiply $8$ by $3$ .

$\frac{11}{24}$

Step 5

Divide.

$0.458\overline{3}$

Step 6

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.

$0.5$