Find the Mean 11/12 , 5/24 , 3/8

$\frac{11}{12}$ , $\frac{5}{24}$ , $\frac{3}{8}$

Step 1

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

$\frac{\frac{11}{12} + \frac{5}{24} + \frac{3}{8}}{3}$

Step 2

Simplify the numerator.

To write $\frac{11}{12}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{\frac{11}{12} \cdot \frac{2}{2} + \frac{5}{24} + \frac{3}{8}}{3}$

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

Multiply $\frac{11}{12}$ by $\frac{2}{2}$ .

$\frac{\frac{11 \cdot 2}{12 \cdot 2} + \frac{5}{24} + \frac{3}{8}}{3}$

Multiply $12$ by $2$ .

$\frac{\frac{11 \cdot 2}{24} + \frac{5}{24} + \frac{3}{8}}{3}$

Combine the numerators over the common denominator.

$\frac{\frac{11 \cdot 2 + 5}{24} + \frac{3}{8}}{3}$

Simplify the numerator.

Multiply $11$ by $2$ .

$\frac{\frac{22 + 5}{24} + \frac{3}{8}}{3}$

Add $22$ and $5$ .

$\frac{\frac{27}{24} + \frac{3}{8}}{3}$

To write $\frac{3}{8}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{\frac{27}{24} + \frac{3}{8} \cdot \frac{3}{3}}{3}$

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

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

$\frac{\frac{27}{24} + \frac{3 \cdot 3}{8 \cdot 3}}{3}$

Multiply $8$ by $3$ .

$\frac{\frac{27}{24} + \frac{3 \cdot 3}{24}}{3}$

Combine the numerators over the common denominator.

$\frac{\frac{27 + 3 \cdot 3}{24}}{3}$

Simplify the numerator.

Multiply $3$ by $3$ .

$\frac{\frac{27 + 9}{24}}{3}$

Add $27$ and $9$ .

$\frac{\frac{36}{24}}{3}$

Cancel the common factor of $36$ and $24$ .

Factor $12$ out of $36$ .

$\frac{\frac{12 (3)}{24}}{3}$

Cancel the common factors.

Factor $12$ out of $24$ .

$\frac{\frac{12 \cdot 3}{12 \cdot 2}}{3}$

Cancel the common factor.

$\frac{\frac{12 \cdot 3}{12 \cdot 2}}{3}$

Rewrite the expression.

$\frac{\frac{3}{2}}{3}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{3}{2} \cdot \frac{1}{3}$

Step 4

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3}{2} \cdot \frac{1}{3}$

Rewrite the expression.

$\frac{1}{2}$

Step 5

Divide.

$0.5$

Find the Mean 11/12 , 5/24 , 3/8

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