Basic Math Examples

$- \frac{5}{8}$ , $- \frac{7}{9}$ , $- \frac{4}{5}$ , $- \frac{3}{7}$

Step 1

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

$\frac{- \frac{5}{8} - \frac{7}{9} - \frac{4}{5} - \frac{3}{7}}{4}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

To write $- \frac{5}{8}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{- \frac{5}{8} \cdot \frac{9}{9} - \frac{7}{9} - \frac{4}{5} - \frac{3}{7}}{4}$

Step 2.2

To write $- \frac{7}{9}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{- \frac{5}{8} \cdot \frac{9}{9} - \frac{7}{9} \cdot \frac{8}{8} - \frac{4}{5} - \frac{3}{7}}{4}$

Step 2.3

Write each expression with a common denominator of $72$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 2.3.1

Multiply $\frac{5}{8}$ by $\frac{9}{9}$ .

$\frac{- \frac{5 \cdot 9}{8 \cdot 9} - \frac{7}{9} \cdot \frac{8}{8} - \frac{4}{5} - \frac{3}{7}}{4}$

Step 2.3.2

Multiply $8$ by $9$ .

$\frac{- \frac{5 \cdot 9}{72} - \frac{7}{9} \cdot \frac{8}{8} - \frac{4}{5} - \frac{3}{7}}{4}$

Step 2.3.3

Multiply $\frac{7}{9}$ by $\frac{8}{8}$ .

$\frac{- \frac{5 \cdot 9}{72} - \frac{7 \cdot 8}{9 \cdot 8} - \frac{4}{5} - \frac{3}{7}}{4}$

Step 2.3.4

Multiply $9$ by $8$ .

$\frac{- \frac{5 \cdot 9}{72} - \frac{7 \cdot 8}{72} - \frac{4}{5} - \frac{3}{7}}{4}$

Step 2.4

Combine the numerators over the common denominator.

$\frac{\frac{- 5 \cdot 9 - 7 \cdot 8}{72} - \frac{4}{5} - \frac{3}{7}}{4}$

Step 2.5

Simplify the numerator.

Tap for more steps...

Step 2.5.1

Multiply $- 5$ by $9$ .

$\frac{\frac{- 45 - 7 \cdot 8}{72} - \frac{4}{5} - \frac{3}{7}}{4}$

Step 2.5.2

Multiply $- 7$ by $8$ .

$\frac{\frac{- 45 - 56}{72} - \frac{4}{5} - \frac{3}{7}}{4}$

Step 2.5.3

Subtract $56$ from $- 45$ .

$\frac{\frac{- 101}{72} - \frac{4}{5} - \frac{3}{7}}{4}$

Step 2.6

To write $\frac{- 101}{72}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{\frac{- 101}{72} \cdot \frac{5}{5} - \frac{4}{5} - \frac{3}{7}}{4}$

Step 2.7

To write $- \frac{4}{5}$ as a fraction with a common denominator, multiply by $\frac{72}{72}$ .

$\frac{\frac{- 101}{72} \cdot \frac{5}{5} - \frac{4}{5} \cdot \frac{72}{72} - \frac{3}{7}}{4}$

Step 2.8

Write each expression with a common denominator of $360$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 2.8.1

Multiply $\frac{- 101}{72}$ by $\frac{5}{5}$ .

$\frac{\frac{- 101 \cdot 5}{72 \cdot 5} - \frac{4}{5} \cdot \frac{72}{72} - \frac{3}{7}}{4}$

Step 2.8.2

Multiply $72$ by $5$ .

$\frac{\frac{- 101 \cdot 5}{360} - \frac{4}{5} \cdot \frac{72}{72} - \frac{3}{7}}{4}$

Step 2.8.3

Multiply $\frac{4}{5}$ by $\frac{72}{72}$ .

$\frac{\frac{- 101 \cdot 5}{360} - \frac{4 \cdot 72}{5 \cdot 72} - \frac{3}{7}}{4}$

Step 2.8.4

Multiply $5$ by $72$ .

$\frac{\frac{- 101 \cdot 5}{360} - \frac{4 \cdot 72}{360} - \frac{3}{7}}{4}$

Step 2.9

Combine the numerators over the common denominator.

$\frac{\frac{- 101 \cdot 5 - 4 \cdot 72}{360} - \frac{3}{7}}{4}$

Step 2.10

Simplify the numerator.

Tap for more steps...

Step 2.10.1

Multiply $- 101$ by $5$ .

$\frac{\frac{- 505 - 4 \cdot 72}{360} - \frac{3}{7}}{4}$

Step 2.10.2

Multiply $- 4$ by $72$ .

$\frac{\frac{- 505 - 288}{360} - \frac{3}{7}}{4}$

Step 2.10.3

Subtract $288$ from $- 505$ .

$\frac{\frac{- 793}{360} - \frac{3}{7}}{4}$

Step 2.11

To write $\frac{- 793}{360}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{\frac{- 793}{360} \cdot \frac{7}{7} - \frac{3}{7}}{4}$

Step 2.12

To write $- \frac{3}{7}$ as a fraction with a common denominator, multiply by $\frac{360}{360}$ .

$\frac{\frac{- 793}{360} \cdot \frac{7}{7} - \frac{3}{7} \cdot \frac{360}{360}}{4}$

Step 2.13

Write each expression with a common denominator of $2520$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 2.13.1

Multiply $\frac{- 793}{360}$ by $\frac{7}{7}$ .

$\frac{\frac{- 793 \cdot 7}{360 \cdot 7} - \frac{3}{7} \cdot \frac{360}{360}}{4}$

Step 2.13.2

Multiply $360$ by $7$ .

$\frac{\frac{- 793 \cdot 7}{2520} - \frac{3}{7} \cdot \frac{360}{360}}{4}$

Step 2.13.3

Multiply $\frac{3}{7}$ by $\frac{360}{360}$ .

$\frac{\frac{- 793 \cdot 7}{2520} - \frac{3 \cdot 360}{7 \cdot 360}}{4}$

Step 2.13.4

Multiply $7$ by $360$ .

$\frac{\frac{- 793 \cdot 7}{2520} - \frac{3 \cdot 360}{2520}}{4}$

Step 2.14

Combine the numerators over the common denominator.

$\frac{\frac{- 793 \cdot 7 - 3 \cdot 360}{2520}}{4}$

Step 2.15

Simplify the numerator.

Tap for more steps...

Step 2.15.1

Multiply $- 793$ by $7$ .

$\frac{\frac{- 5551 - 3 \cdot 360}{2520}}{4}$

Step 2.15.2

Multiply $- 3$ by $360$ .

$\frac{\frac{- 5551 - 1080}{2520}}{4}$

Step 2.15.3

Subtract $1080$ from $- 5551$ .

$\frac{\frac{- 6631}{2520}}{4}$

Step 2.16

Move the negative in front of the fraction.

$\frac{- \frac{6631}{2520}}{4}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$- \frac{6631}{2520} \cdot \frac{1}{4}$

Step 4

Multiply $- \frac{6631}{2520} \cdot \frac{1}{4}$ .

Tap for more steps...

Step 4.1

Multiply $\frac{1}{4}$ by $\frac{6631}{2520}$ .

$- \frac{6631}{4 \cdot 2520}$

Step 4.2

Multiply $4$ by $2520$ .

$- \frac{6631}{10080}$

Step 5

Divide.

$- 0.6578373$

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.

$- 0.7$