Basic Math Examples

$\frac{2}{3}$ , $\frac{3}{5}$ , $\frac{9}{5}$

Step 1

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

$\frac{\frac{2}{3} + \frac{3}{5} + \frac{9}{5}}{3}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

To write $\frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{\frac{2}{3} \cdot \frac{5}{5} + \frac{3}{5} + \frac{9}{5}}{3}$

Step 2.2

To write $\frac{3}{5}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{\frac{2}{3} \cdot \frac{5}{5} + \frac{3}{5} \cdot \frac{3}{3} + \frac{9}{5}}{3}$

Step 2.3

Write each expression with a common denominator of $15$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 2.3.1

Multiply $\frac{2}{3}$ by $\frac{5}{5}$ .

$\frac{\frac{2 \cdot 5}{3 \cdot 5} + \frac{3}{5} \cdot \frac{3}{3} + \frac{9}{5}}{3}$

Step 2.3.2

Multiply $3$ by $5$ .

$\frac{\frac{2 \cdot 5}{15} + \frac{3}{5} \cdot \frac{3}{3} + \frac{9}{5}}{3}$

Step 2.3.3

Multiply $\frac{3}{5}$ by $\frac{3}{3}$ .

$\frac{\frac{2 \cdot 5}{15} + \frac{3 \cdot 3}{5 \cdot 3} + \frac{9}{5}}{3}$

Step 2.3.4

Multiply $5$ by $3$ .

$\frac{\frac{2 \cdot 5}{15} + \frac{3 \cdot 3}{15} + \frac{9}{5}}{3}$

Step 2.4

Combine the numerators over the common denominator.

$\frac{\frac{2 \cdot 5 + 3 \cdot 3}{15} + \frac{9}{5}}{3}$

Step 2.5

Simplify the numerator.

Tap for more steps...

Step 2.5.1

Multiply $2$ by $5$ .

$\frac{\frac{10 + 3 \cdot 3}{15} + \frac{9}{5}}{3}$

Step 2.5.2

Multiply $3$ by $3$ .

$\frac{\frac{10 + 9}{15} + \frac{9}{5}}{3}$

Step 2.5.3

Add $10$ and $9$ .

$\frac{\frac{19}{15} + \frac{9}{5}}{3}$

Step 2.6

To write $\frac{9}{5}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{\frac{19}{15} + \frac{9}{5} \cdot \frac{3}{3}}{3}$

Step 2.7

Write each expression with a common denominator of $15$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 2.7.1

Multiply $\frac{9}{5}$ by $\frac{3}{3}$ .

$\frac{\frac{19}{15} + \frac{9 \cdot 3}{5 \cdot 3}}{3}$

Step 2.7.2

Multiply $5$ by $3$ .

$\frac{\frac{19}{15} + \frac{9 \cdot 3}{15}}{3}$

Step 2.8

Combine the numerators over the common denominator.

$\frac{\frac{19 + 9 \cdot 3}{15}}{3}$

Step 2.9

Simplify the numerator.

Tap for more steps...

Step 2.9.1

Multiply $9$ by $3$ .

$\frac{\frac{19 + 27}{15}}{3}$

Step 2.9.2

Add $19$ and $27$ .

$\frac{\frac{46}{15}}{3}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{46}{15} \cdot \frac{1}{3}$

Step 4

Multiply $\frac{46}{15} \cdot \frac{1}{3}$ .

Tap for more steps...

Step 4.1

Multiply $\frac{46}{15}$ by $\frac{1}{3}$ .

$\frac{46}{15 \cdot 3}$

Step 4.2

Multiply $15$ by $3$ .

$\frac{46}{45}$

Step 5

Divide.

$1.0\overline{2}$

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.

$1$