Basic Math Examples

$1.314$ , $795 \div 11$ , $1$

Step 1

Rewrite the division as a fraction.

$1.314, \frac{795}{11}, 1$

Step 2

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

$\frac{1.314 + \frac{795}{11} + 1}{3}$

Step 3

Simplify the numerator.

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Step 3.1

To write $1.314$ as a fraction with a common denominator, multiply by $\frac{11}{11}$ .

$\frac{1.314 \cdot \frac{11}{11} + \frac{795}{11} + 1}{3}$

Step 3.2

Combine $1.314$ and $\frac{11}{11}$ .

$\frac{\frac{1.314 \cdot 11}{11} + \frac{795}{11} + 1}{3}$

Step 3.3

Combine the numerators over the common denominator.

$\frac{\frac{1.314 \cdot 11 + 795}{11} + 1}{3}$

Step 3.4

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

$\frac{\frac{1.314 \cdot 11 + 795}{11} + \frac{11}{11}}{3}$

Step 3.5

Combine the numerators over the common denominator.

$\frac{\frac{1.314 \cdot 11 + 795 + 11}{11}}{3}$

Step 3.6

Rewrite $\frac{1.314 \cdot 11 + 795 + 11}{11}$ in a factored form.

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Step 3.6.1

Multiply $1.314$ by $11$ .

$\frac{\frac{14.454 + 795 + 11}{11}}{3}$

Step 3.6.2

Add $14.454$ and $795$ .

$\frac{\frac{809.454 + 11}{11}}{3}$

Step 3.6.3

Add $809.454$ and $11$ .

$\frac{\frac{820.454}{11}}{3}$

Step 3.6.4

Divide $820.454$ by $11$ .

$\frac{74.586\overline{72}}{3}$

Step 4

Divide $74.586\overline{72}$ by $3$ .

$24.862\overline{24}$

Step 5

Divide.

$24.862\overline{24}$

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.

$24.9$