Basic Math Examples

45

$45$ ,

5 \div 44

$5 \div 44$ ,

5

$5$

Step 1

Rewrite the division as a fraction.

45, \frac{5}{44}, 5

$45, \frac{5}{44}, 5$

Step 2

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

\frac{45 + \frac{5}{44} + 5}{3}

$\frac{45 + \frac{5}{44} + 5}{3}$

Step 3

Simplify the numerator.

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Step 3.1

To write

45

$45$ as a fraction with a common denominator, multiply by

\frac{44}{44}

$\frac{44}{44}$ .

\frac{45 \cdot \frac{44}{44} + \frac{5}{44} + 5}{3}

$\frac{45 \cdot \frac{44}{44} + \frac{5}{44} + 5}{3}$

Step 3.2

Combine

45

$45$ and

\frac{44}{44}

$\frac{44}{44}$ .

\frac{\frac{45 \cdot 44}{44} + \frac{5}{44} + 5}{3}

$\frac{\frac{45 \cdot 44}{44} + \frac{5}{44} + 5}{3}$

Step 3.3

Combine the numerators over the common denominator.

\frac{\frac{45 \cdot 44 + 5}{44} + 5}{3}

$\frac{\frac{45 \cdot 44 + 5}{44} + 5}{3}$

Step 3.4

Simplify the numerator.

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Step 3.4.1

Multiply

45

$45$ by

44

$44$ .

\frac{\frac{1980 + 5}{44} + 5}{3}

$\frac{\frac{1980 + 5}{44} + 5}{3}$

Step 3.4.2

Add

1980

$1980$ and

5

$5$ .

\frac{\frac{1985}{44} + 5}{3}

$\frac{\frac{1985}{44} + 5}{3}$

\frac{\frac{1985}{44} + 5}{3}

$\frac{\frac{1985}{44} + 5}{3}$

Step 3.5

To write

5

$5$ as a fraction with a common denominator, multiply by

\frac{44}{44}

$\frac{44}{44}$ .

\frac{\frac{1985}{44} + 5 \cdot \frac{44}{44}}{3}

$\frac{\frac{1985}{44} + 5 \cdot \frac{44}{44}}{3}$

Step 3.6

Combine

5

$5$ and

\frac{44}{44}

$\frac{44}{44}$ .

\frac{\frac{1985}{44} + \frac{5 \cdot 44}{44}}{3}

$\frac{\frac{1985}{44} + \frac{5 \cdot 44}{44}}{3}$

Step 3.7

Combine the numerators over the common denominator.

\frac{\frac{1985 + 5 \cdot 44}{44}}{3}

$\frac{\frac{1985 + 5 \cdot 44}{44}}{3}$

Step 3.8

Simplify the numerator.

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Step 3.8.1

Multiply

5

$5$ by

44

$44$ .

\frac{\frac{1985 + 220}{44}}{3}

$\frac{\frac{1985 + 220}{44}}{3}$

Step 3.8.2

Add

1985

$1985$ and

220

$220$ .

\frac{\frac{2205}{44}}{3}

$\frac{\frac{2205}{44}}{3}$

\frac{\frac{2205}{44}}{3}

$\frac{\frac{2205}{44}}{3}$

\frac{\frac{2205}{44}}{3}

$\frac{\frac{2205}{44}}{3}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

\frac{2205}{44} \cdot \frac{1}{3}

$\frac{2205}{44} \cdot \frac{1}{3}$

Step 5

Cancel the common factor of

3

$3$ .

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Step 5.1

Factor

3

$3$ out of

2205

$2205$ .

\frac{3 (735)}{44} \cdot \frac{1}{3}

$\frac{3 (735)}{44} \cdot \frac{1}{3}$

Step 5.2

Cancel the common factor.

$\frac{3 \cdot 735}{44} \cdot \frac{1}{3}$

Step 5.3

Rewrite the expression.

$\frac{735}{44}$

Step 6

Divide.

$16.70\overline{45}$

Step 7

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.

$16.7$