Basic Math Examples

$1$ , $6 (\frac{2}{3} \cdot \frac{5}{6})$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $6$ .

$1, 6 (\frac{2}{3} \cdot \frac{5}{2 (3)})$

Step 1.2

Cancel the common factor.

$1, 6 (\frac{2}{3} \cdot \frac{5}{2 \cdot 3})$

Step 1.3

Rewrite the expression.

$1, 6 (\frac{1}{3} \cdot \frac{5}{3})$

Step 2

Multiply $\frac{1}{3}$ by $\frac{5}{3}$ .

$1, 6 (\frac{5}{3 \cdot 3})$

Step 3

Multiply $3$ by $3$ .

$1, 6 (\frac{5}{9})$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $6$ .

$1, 3 (2) (\frac{5}{9})$

Step 4.2

Factor $3$ out of $9$ .

$1, 3 \cdot (2 (\frac{5}{3 \cdot 3}))$

Step 4.3

Cancel the common factor.

$1, 3 \cdot (2 (\frac{5}{3 \cdot 3}))$

Step 4.4

Rewrite the expression.

$1, 2 (\frac{5}{3})$

Step 5

Combine $2$ and $\frac{5}{3}$ .

$1, \frac{2 \cdot 5}{3}$

Step 6

Multiply $2$ by $5$ .

$1, \frac{10}{3}$

Step 7

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

$\frac{1 + \frac{10}{3}}{2}$

Step 8

Simplify the numerator.

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Step 8.1

Write $1$ as a fraction with a common denominator.

$\frac{\frac{3}{3} + \frac{10}{3}}{2}$

Step 8.2

Combine the numerators over the common denominator.

$\frac{\frac{3 + 10}{3}}{2}$

Step 8.3

Add $3$ and $10$ .

$\frac{\frac{13}{3}}{2}$

Step 9

Multiply the numerator by the reciprocal of the denominator.

$\frac{13}{3} \cdot \frac{1}{2}$

Step 10

Multiply $\frac{13}{3} \cdot \frac{1}{2}$ .

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Step 10.1

Multiply $\frac{13}{3}$ by $\frac{1}{2}$ .

$\frac{13}{3 \cdot 2}$

Step 10.2

Multiply $3$ by $2$ .

$\frac{13}{6}$

Step 11

Divide.

$2.1\overline{6}$

Step 12

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.

$2.2$