Basic Math Examples

$9 \frac{5}{8} + 2 \frac{5}{8}$

Step 1

Convert $9 \frac{5}{8}$ to an improper fraction.

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Step 1.1

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

$9 + \frac{5}{8} + 2 \frac{5}{8}$

Step 1.2

Add $9$ and $\frac{5}{8}$ .

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Step 1.2.1

To write $9$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$9 \cdot \frac{8}{8} + \frac{5}{8} + 2 \frac{5}{8}$

Step 1.2.2

Combine $9$ and $\frac{8}{8}$ .

$\frac{9 \cdot 8}{8} + \frac{5}{8} + 2 \frac{5}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{9 \cdot 8 + 5}{8} + 2 \frac{5}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $9$ by $8$ .

$\frac{72 + 5}{8} + 2 \frac{5}{8}$

Step 1.2.4.2

Add $72$ and $5$ .

$\frac{77}{8} + 2 \frac{5}{8}$

Step 2

Convert $2 \frac{5}{8}$ to an improper fraction.

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Step 2.1

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

$\frac{77}{8} + 2 + \frac{5}{8}$

Step 2.2

Add $2$ and $\frac{5}{8}$ .

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Step 2.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{77}{8} + 2 \cdot \frac{8}{8} + \frac{5}{8}$

Step 2.2.2

Combine $2$ and $\frac{8}{8}$ .

$\frac{77}{8} + \frac{2 \cdot 8}{8} + \frac{5}{8}$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{77}{8} + \frac{2 \cdot 8 + 5}{8}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply $2$ by $8$ .

$\frac{77}{8} + \frac{16 + 5}{8}$

Step 2.2.4.2

Add $16$ and $5$ .

$\frac{77}{8} + \frac{21}{8}$

Step 3

Combine the numerators over the common denominator.

$\frac{77 + 21}{8}$

Step 4

Add $77$ and $21$ .

$\frac{98}{8}$

Step 5

Cancel the common factor of $98$ and $8$ .

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Step 5.1

Factor $2$ out of $98$ .

$\frac{2 (49)}{8}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $2$ out of $8$ .

$\frac{2 \cdot 49}{2 \cdot 4}$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot 49}{2 \cdot 4}$

Step 5.2.3

Rewrite the expression.

$\frac{49}{4}$

Step 6

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

$\frac{\frac{49}{4}}{1}$

Step 7

Divide $\frac{49}{4}$ by $1$ .

$\frac{49}{4}$

Step 8

Divide.

$12.25$

Step 9

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.

$12.3$