Basic Math Examples

$5$ , $405$ , $234$ , $124 \div 5498$

Step 1

Rewrite the division as a fraction.

$5, 405, 234, \frac{124}{5498}$

Step 2

Cancel the common factor of $124$ and $5498$ .

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Step 2.1

Factor $2$ out of $124$ .

$5, 405, 234, \frac{2 (62)}{5498}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $5498$ .

$5, 405, 234, \frac{2 \cdot 62}{2 \cdot 2749}$

Step 2.2.2

Cancel the common factor.

$5, 405, 234, \frac{2 \cdot 62}{2 \cdot 2749}$

Step 2.2.3

Rewrite the expression.

$5, 405, 234, \frac{62}{2749}$

Step 3

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

$\frac{5 + 405 + 234 + \frac{62}{2749}}{4}$

Step 4

Simplify the numerator.

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Step 4.1

Add $5$ and $405$ .

$\frac{410 + 234 + \frac{62}{2749}}{4}$

Step 4.2

Add $410$ and $234$ .

$\frac{644 + \frac{62}{2749}}{4}$

Step 4.3

To write $644$ as a fraction with a common denominator, multiply by $\frac{2749}{2749}$ .

$\frac{644 \cdot \frac{2749}{2749} + \frac{62}{2749}}{4}$

Step 4.4

Combine $644$ and $\frac{2749}{2749}$ .

$\frac{\frac{644 \cdot 2749}{2749} + \frac{62}{2749}}{4}$

Step 4.5

Combine the numerators over the common denominator.

$\frac{\frac{644 \cdot 2749 + 62}{2749}}{4}$

Step 4.6

Simplify the numerator.

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Step 4.6.1

Multiply $644$ by $2749$ .

$\frac{\frac{1770356 + 62}{2749}}{4}$

Step 4.6.2

Add $1770356$ and $62$ .

$\frac{\frac{1770418}{2749}}{4}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{1770418}{2749} \cdot \frac{1}{4}$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Factor $2$ out of $1770418$ .

$\frac{2 (885209)}{2749} \cdot \frac{1}{4}$

Step 6.2

Factor $2$ out of $4$ .

$\frac{2 \cdot 885209}{2749} \cdot \frac{1}{2 \cdot 2}$

Step 6.3

Cancel the common factor.

$\frac{2 \cdot 885209}{2749} \cdot \frac{1}{2 \cdot 2}$

Step 6.4

Rewrite the expression.

$\frac{885209}{2749} \cdot \frac{1}{2}$

Step 7

Multiply $\frac{885209}{2749}$ by $\frac{1}{2}$ .

$\frac{885209}{2749 \cdot 2}$

Step 8

Multiply $2749$ by $2$ .

$\frac{885209}{5498}$

Step 9

Divide.

$161.00563841$

Step 10

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.

$161$