Basic Math Examples

450 \div 8

$450 \div 8$ ,

100

$100$

Step 1

Rewrite the division as a fraction.

\frac{450}{8}, 100

$\frac{450}{8}, 100$

Step 2

Cancel the common factor of

450

$450$ and

8

$8$ .

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Step 2.1

Factor

2

$2$ out of

450

$450$ .

\frac{2 (225)}{8}, 100

$\frac{2 (225)}{8}, 100$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

2

$2$ out of

8

$8$ .

\frac{2 \cdot 225}{2 \cdot 4}, 100

$\frac{2 \cdot 225}{2 \cdot 4}, 100$

Step 2.2.2

Cancel the common factor.

$\frac{2 \cdot 225}{2 \cdot 4}, 100$

Step 2.2.3

Rewrite the expression.

$\frac{225}{4}, 100$

Step 3

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

$\frac{\frac{225}{4} + 100}{2}$

Step 4

Simplify the numerator.

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Step 4.1

To write

$100$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$\frac{\frac{225}{4} + 100 \cdot \frac{4}{4}}{2}$

Step 4.2

Combine

$100$ and

$\frac{4}{4}$ .

$\frac{\frac{225}{4} + \frac{100 \cdot 4}{4}}{2}$

Step 4.3

Combine the numerators over the common denominator.

$\frac{\frac{225 + 100 \cdot 4}{4}}{2}$

Step 4.4

Simplify the numerator.

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Step 4.4.1

Multiply

$100$ by

$4$ .

$\frac{\frac{225 + 400}{4}}{2}$

Step 4.4.2

Add

$225$ and

$400$ .

$\frac{\frac{625}{4}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{625}{4} \cdot \frac{1}{2}$

Step 6

Multiply

$\frac{625}{4} \cdot \frac{1}{2}$ .

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Step 6.1

Multiply

$\frac{625}{4}$ by

$\frac{1}{2}$ .

$\frac{625}{4 \cdot 2}$

Step 6.2

Multiply

$4$ by

$2$ .

$\frac{625}{8}$

Step 7

Divide.

$78.125$

Step 8

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.

$78.1$