Basic Math Examples

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

Step 1

Convert $2 \frac{1}{2}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$(2 + \frac{1}{2}) \div 2 \frac{2}{5}$

Step 1.2

Add $2$ and $\frac{1}{2}$ .

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Step 1.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(2 \cdot \frac{2}{2} + \frac{1}{2}) \div 2 \frac{2}{5}$

Step 1.2.2

Combine $2$ and $\frac{2}{2}$ .

$(\frac{2 \cdot 2}{2} + \frac{1}{2}) \div 2 \frac{2}{5}$

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $2$ by $2$ .

$\frac{4 + 1}{2} \div 2 \frac{2}{5}$

Step 1.2.4.2

Add $4$ and $1$ .

$\frac{5}{2} \div 2 \frac{2}{5}$

Step 2

Convert $2 \frac{2}{5}$ to an improper fraction.

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Step 2.1

A mixed number is an addition of its whole and fractional parts.

$\frac{5}{2} \div (2 + \frac{2}{5})$

Step 2.2

Add $2$ and $\frac{2}{5}$ .

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Step 2.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{5}{2} \div (2 \cdot \frac{5}{5} + \frac{2}{5})$

Step 2.2.2

Combine $2$ and $\frac{5}{5}$ .

$\frac{5}{2} \div (\frac{2 \cdot 5}{5} + \frac{2}{5})$

Step 2.2.3

Combine the numerators over the common denominator.

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

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply $2$ by $5$ .

$\frac{5}{2} \div \frac{10 + 2}{5}$

Step 2.2.4.2

Add $10$ and $2$ .

$\frac{5}{2} \div \frac{12}{5}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{2} \cdot \frac{5}{12}$

Step 4

Multiply $\frac{5}{2} \cdot \frac{5}{12}$ .

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Step 4.1

Multiply $\frac{5}{2}$ by $\frac{5}{12}$ .

$\frac{5 \cdot 5}{2 \cdot 12}$

Step 4.2

Multiply $5$ by $5$ .

$\frac{25}{2 \cdot 12}$

Step 4.3

Multiply $2$ by $12$ .

$\frac{25}{24}$

Step 5

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

$\frac{\frac{25}{24}}{1}$

Step 6

Divide $\frac{25}{24}$ by $1$ .

$\frac{25}{24}$

Step 7

Divide.

$1.041\overline{6}$

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.

$1$