Basic Math Examples

$31 \frac{3}{5} \div 3$ , $476$

Step 1

Arrange the terms in ascending order.

$31 \frac{3}{5} \div 3, 476$

Step 2

The median is the middle term in the arranged data set. In the case of an even number of terms, the median is the average of the two middle terms.

$\frac{31 \frac{3}{5} \div 3 + 476}{2}$

Step 3

Remove parentheses.

$\frac{31 \frac{3}{5} \div 3 + 476}{2}$

Step 4

Convert $31 \frac{3}{5}$ to an improper fraction.

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Step 4.1

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

$\frac{(31 + \frac{3}{5}) \div 3 + 476}{2}$

Step 4.2

Add $31$ and $\frac{3}{5}$ .

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Step 4.2.1

To write $31$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{(31 \cdot \frac{5}{5} + \frac{3}{5}) \div 3 + 476}{2}$

Step 4.2.2

Combine $31$ and $\frac{5}{5}$ .

$\frac{(\frac{31 \cdot 5}{5} + \frac{3}{5}) \div 3 + 476}{2}$

Step 4.2.3

Combine the numerators over the common denominator.

$\frac{\frac{31 \cdot 5 + 3}{5} \div 3 + 476}{2}$

Step 4.2.4

Simplify the numerator.

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Step 4.2.4.1

Multiply $31$ by $5$ .

$\frac{\frac{155 + 3}{5} \div 3 + 476}{2}$

Step 4.2.4.2

Add $155$ and $3$ .

$\frac{\frac{158}{5} \div 3 + 476}{2}$

Step 5

Simplify the numerator.

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Step 5.1

Simplify each term.

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Step 5.1.1

Rewrite the division as a fraction.

$\frac{\frac{\frac{158}{5}}{3} + 476}{2}$

Step 5.1.2

Multiply the numerator by the reciprocal of the denominator.

$\frac{\frac{158}{5} \cdot \frac{1}{3} + 476}{2}$

Step 5.1.3

Multiply $\frac{158}{5} \cdot \frac{1}{3}$ .

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Step 5.1.3.1

Multiply $\frac{158}{5}$ by $\frac{1}{3}$ .

$\frac{\frac{158}{5 \cdot 3} + 476}{2}$

Step 5.1.3.2

Multiply $5$ by $3$ .

$\frac{\frac{158}{15} + 476}{2}$

Step 5.2

To write $476$ as a fraction with a common denominator, multiply by $\frac{15}{15}$ .

$\frac{\frac{158}{15} + 476 \cdot \frac{15}{15}}{2}$

Step 5.3

Combine $476$ and $\frac{15}{15}$ .

$\frac{\frac{158}{15} + \frac{476 \cdot 15}{15}}{2}$

Step 5.4

Combine the numerators over the common denominator.

$\frac{\frac{158 + 476 \cdot 15}{15}}{2}$

Step 5.5

Simplify the numerator.

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Step 5.5.1

Multiply $476$ by $15$ .

$\frac{\frac{158 + 7140}{15}}{2}$

Step 5.5.2

Add $158$ and $7140$ .

$\frac{\frac{7298}{15}}{2}$

Step 6

Multiply the numerator by the reciprocal of the denominator.

$\frac{7298}{15} \cdot \frac{1}{2}$

Step 7

Cancel the common factor of $2$ .

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Step 7.1

Factor $2$ out of $7298$ .

$\frac{2 (3649)}{15} \cdot \frac{1}{2}$

Step 7.2

Cancel the common factor.

$\frac{2 \cdot 3649}{15} \cdot \frac{1}{2}$

Step 7.3

Rewrite the expression.

$\frac{3649}{15}$

Step 8

Convert the median $\frac{3649}{15}$ to decimal.

$243.2\overline{6}$