Basic Math Examples

$2 \frac{1}{3} + (- 1 \frac{2}{3})$

Step 1

Remove parentheses.

$2 \frac{1}{3} - 1 \frac{2}{3}$

Step 2

Convert $2 \frac{1}{3}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

$2 + \frac{1}{3} - 1 \frac{2}{3}$

Step 2.2

Add $2$ and $\frac{1}{3}$ .

Tap for more steps...

Step 2.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$2 \cdot \frac{3}{3} + \frac{1}{3} - 1 \frac{2}{3}$

Step 2.2.2

Combine $2$ and $\frac{3}{3}$ .

$\frac{2 \cdot 3}{3} + \frac{1}{3} - 1 \frac{2}{3}$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{2 \cdot 3 + 1}{3} - 1 \frac{2}{3}$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply $2$ by $3$ .

$\frac{6 + 1}{3} - 1 \frac{2}{3}$

Step 2.2.4.2

Add $6$ and $1$ .

$\frac{7}{3} - 1 \frac{2}{3}$

Step 3

Convert $1 \frac{2}{3}$ to an improper fraction.

Tap for more steps...

Step 3.1

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

$\frac{7}{3} - (1 + \frac{2}{3})$

Step 3.2

Add $1$ and $\frac{2}{3}$ .

Tap for more steps...

Step 3.2.1

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

$\frac{7}{3} - (\frac{3}{3} + \frac{2}{3})$

Step 3.2.2

Combine the numerators over the common denominator.

$\frac{7}{3} - \frac{3 + 2}{3}$

Step 3.2.3

Add $3$ and $2$ .

$\frac{7}{3} - \frac{5}{3}$

Step 4

Combine the numerators over the common denominator.

$\frac{7 - 5}{3}$

Step 5

Subtract $5$ from $7$ .

$\frac{2}{3}$

Step 6

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

$\frac{\frac{2}{3}}{1}$

Step 7

Divide $\frac{2}{3}$ by $1$ .

$\frac{2}{3}$

Step 8

Divide.

$0.\overline{6}$

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.

$0.7$