Basic Math Examples

$3 \frac{2}{15} + \frac{8}{15}$

Step 1

Convert $3 \frac{2}{15}$ to an improper fraction.

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Step 1.1

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

$3 + \frac{2}{15} + \frac{8}{15}$

Step 1.2

Add $3$ and $\frac{2}{15}$ .

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Step 1.2.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{15}{15}$ .

$3 \cdot \frac{15}{15} + \frac{2}{15} + \frac{8}{15}$

Step 1.2.2

Combine $3$ and $\frac{15}{15}$ .

$\frac{3 \cdot 15}{15} + \frac{2}{15} + \frac{8}{15}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{3 \cdot 15 + 2}{15} + \frac{8}{15}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $15$ .

$\frac{45 + 2}{15} + \frac{8}{15}$

Step 1.2.4.2

Add $45$ and $2$ .

$\frac{47}{15} + \frac{8}{15}$

Step 2

Combine the numerators over the common denominator.

$\frac{47 + 8}{15}$

Step 3

Add $47$ and $8$ .

$\frac{55}{15}$

Step 4

Cancel the common factor of $55$ and $15$ .

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Step 4.1

Factor $5$ out of $55$ .

$\frac{5 (11)}{15}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $5$ out of $15$ .

$\frac{5 \cdot 11}{5 \cdot 3}$

Step 4.2.2

Cancel the common factor.

$\frac{5 \cdot 11}{5 \cdot 3}$

Step 4.2.3

Rewrite the expression.

$\frac{11}{3}$

Step 5

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

$\frac{\frac{11}{3}}{1}$

Step 6

Divide $\frac{11}{3}$ by $1$ .

$\frac{11}{3}$

Step 7

Divide.

$3.\overline{6}$

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.

$3.7$