Basic Math Examples

$1$ , $200 \div 500$

Step 1

Rewrite the division as a fraction.

$1, \frac{200}{500}$

Step 2

Cancel the common factor of $200$ and $500$ .

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Step 2.1

Factor $100$ out of $200$ .

$1, \frac{100 (2)}{500}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $100$ out of $500$ .

$1, \frac{100 \cdot 2}{100 \cdot 5}$

Step 2.2.2

Cancel the common factor.

$1, \frac{100 \cdot 2}{100 \cdot 5}$

Step 2.2.3

Rewrite the expression.

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

Step 3

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

$\frac{1 + \frac{2}{5}}{2}$

Step 4

Simplify the numerator.

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Step 4.1

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

$\frac{\frac{5}{5} + \frac{2}{5}}{2}$

Step 4.2

Combine the numerators over the common denominator.

$\frac{\frac{5 + 2}{5}}{2}$

Step 4.3

Add $5$ and $2$ .

$\frac{\frac{7}{5}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{7}{5} \cdot \frac{1}{2}$

Step 6

Multiply $\frac{7}{5} \cdot \frac{1}{2}$ .

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Step 6.1

Multiply $\frac{7}{5}$ by $\frac{1}{2}$ .

$\frac{7}{5 \cdot 2}$

Step 6.2

Multiply $5$ by $2$ .

$\frac{7}{10}$

Step 7

Divide.

$0.7$