Basic Math Examples

$\frac{3}{8}$ , $\frac{1}{4}$ , $\frac{5}{16}$ , $\frac{7}{64}$

Step 1

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

$\frac{\frac{3}{8} + \frac{1}{4} + \frac{5}{16} + \frac{7}{64}}{4}$

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 $\frac{2}{2}$ .

$\frac{\frac{3}{8} + \frac{1}{4} \cdot \frac{2}{2} + \frac{5}{16} + \frac{7}{64}}{4}$

Step 2.2

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 2.2.1

Multiply $\frac{1}{4}$ by $\frac{2}{2}$ .

$\frac{\frac{3}{8} + \frac{2}{4 \cdot 2} + \frac{5}{16} + \frac{7}{64}}{4}$

Step 2.2.2

Multiply $4$ by $2$ .

$\frac{\frac{3}{8} + \frac{2}{8} + \frac{5}{16} + \frac{7}{64}}{4}$

Step 2.3

Combine the numerators over the common denominator.

$\frac{\frac{3 + 2}{8} + \frac{5}{16} + \frac{7}{64}}{4}$

Step 2.4

Add $3$ and $2$ .

$\frac{\frac{5}{8} + \frac{5}{16} + \frac{7}{64}}{4}$

Step 2.5

To write $\frac{5}{8}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{\frac{5}{8} \cdot \frac{2}{2} + \frac{5}{16} + \frac{7}{64}}{4}$

Step 2.6

Write each expression with a common denominator of $16$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 2.6.1

Multiply $\frac{5}{8}$ by $\frac{2}{2}$ .

$\frac{\frac{5 \cdot 2}{8 \cdot 2} + \frac{5}{16} + \frac{7}{64}}{4}$

Step 2.6.2

Multiply $8$ by $2$ .

$\frac{\frac{5 \cdot 2}{16} + \frac{5}{16} + \frac{7}{64}}{4}$

Step 2.7

Combine the numerators over the common denominator.

$\frac{\frac{5 \cdot 2 + 5}{16} + \frac{7}{64}}{4}$

Step 2.8

Simplify the numerator.

Tap for more steps...

Step 2.8.1

Multiply $5$ by $2$ .

$\frac{\frac{10 + 5}{16} + \frac{7}{64}}{4}$

Step 2.8.2

Add $10$ and $5$ .

$\frac{\frac{15}{16} + \frac{7}{64}}{4}$

Step 2.9

To write $\frac{15}{16}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{\frac{15}{16} \cdot \frac{4}{4} + \frac{7}{64}}{4}$

Step 2.10

Write each expression with a common denominator of $64$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 2.10.1

Multiply $\frac{15}{16}$ by $\frac{4}{4}$ .

$\frac{\frac{15 \cdot 4}{16 \cdot 4} + \frac{7}{64}}{4}$

Step 2.10.2

Multiply $16$ by $4$ .

$\frac{\frac{15 \cdot 4}{64} + \frac{7}{64}}{4}$

Step 2.11

Combine the numerators over the common denominator.

$\frac{\frac{15 \cdot 4 + 7}{64}}{4}$

Step 2.12

Simplify the numerator.

Tap for more steps...

Step 2.12.1

Multiply $15$ by $4$ .

$\frac{\frac{60 + 7}{64}}{4}$

Step 2.12.2

Add $60$ and $7$ .

$\frac{\frac{67}{64}}{4}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{67}{64} \cdot \frac{1}{4}$

Step 4

Multiply $\frac{67}{64} \cdot \frac{1}{4}$ .

Tap for more steps...

Step 4.1

Multiply $\frac{67}{64}$ by $\frac{1}{4}$ .

$\frac{67}{64 \cdot 4}$

Step 4.2

Multiply $64$ by $4$ .

$\frac{67}{256}$

Step 5

Divide.

$0.26171875$

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.

$0.3$