Find the Mean 1/3 , 1/12 , 7/24

$\frac{1}{3}$ , $\frac{1}{12}$ , $\frac{7}{24}$

Step 1

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

$\frac{\frac{1}{3} + \frac{1}{12} + \frac{7}{24}}{3}$

Step 2

Simplify the numerator.

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

$\frac{\frac{1}{3} \cdot \frac{4}{4} + \frac{1}{12} + \frac{7}{24}}{3}$

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

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

$\frac{\frac{4}{3 \cdot 4} + \frac{1}{12} + \frac{7}{24}}{3}$

Multiply $3$ by $4$ .

$\frac{\frac{4}{12} + \frac{1}{12} + \frac{7}{24}}{3}$

Combine the numerators over the common denominator.

$\frac{\frac{4 + 1}{12} + \frac{7}{24}}{3}$

Add $4$ and $1$ .

$\frac{\frac{5}{12} + \frac{7}{24}}{3}$

To write $\frac{5}{12}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{\frac{5}{12} \cdot \frac{2}{2} + \frac{7}{24}}{3}$

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

Multiply $\frac{5}{12}$ by $\frac{2}{2}$ .

$\frac{\frac{5 \cdot 2}{12 \cdot 2} + \frac{7}{24}}{3}$

Multiply $12$ by $2$ .

$\frac{\frac{5 \cdot 2}{24} + \frac{7}{24}}{3}$

Combine the numerators over the common denominator.

$\frac{\frac{5 \cdot 2 + 7}{24}}{3}$

Simplify the numerator.

Multiply $5$ by $2$ .

$\frac{\frac{10 + 7}{24}}{3}$

Add $10$ and $7$ .

$\frac{\frac{17}{24}}{3}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{17}{24} \cdot \frac{1}{3}$

Step 4

Multiply $\frac{17}{24} \cdot \frac{1}{3}$ .

Multiply $\frac{17}{24}$ by $\frac{1}{3}$ .

$\frac{17}{24 \cdot 3}$

Multiply $24$ by $3$ .

$\frac{17}{72}$

Step 5

Divide.

$0.236\overline{1}$

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.

$0.2$

Find the Mean 1/3 , 1/12 , 7/24

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