Basic Math Examples

$- \frac{12}{5} - (- \frac{3}{11})$

Step 1

Multiply $- (- \frac{3}{11})$ .

Tap for more steps...

Step 1.1

Multiply $- 1$ by $- 1$ .

$- \frac{12}{5} + 1 (\frac{3}{11})$

Step 1.2

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

$- \frac{12}{5} + \frac{3}{11}$

Step 2

To write $- \frac{12}{5}$ as a fraction with a common denominator, multiply by $\frac{11}{11}$ .

$- \frac{12}{5} \cdot \frac{11}{11} + \frac{3}{11}$

Step 3

To write $\frac{3}{11}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- \frac{12}{5} \cdot \frac{11}{11} + \frac{3}{11} \cdot \frac{5}{5}$

Step 4

Write each expression with a common denominator of $55$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 4.1

Multiply $\frac{12}{5}$ by $\frac{11}{11}$ .

$- \frac{12 \cdot 11}{5 \cdot 11} + \frac{3}{11} \cdot \frac{5}{5}$

Step 4.2

Multiply $5$ by $11$ .

$- \frac{12 \cdot 11}{55} + \frac{3}{11} \cdot \frac{5}{5}$

Step 4.3

Multiply $\frac{3}{11}$ by $\frac{5}{5}$ .

$- \frac{12 \cdot 11}{55} + \frac{3 \cdot 5}{11 \cdot 5}$

Step 4.4

Multiply $11$ by $5$ .

$- \frac{12 \cdot 11}{55} + \frac{3 \cdot 5}{55}$

Step 5

Combine the numerators over the common denominator.

$\frac{- 12 \cdot 11 + 3 \cdot 5}{55}$

Step 6

Simplify the numerator.

Tap for more steps...

Step 6.1

Multiply $- 12$ by $11$ .

$\frac{- 132 + 3 \cdot 5}{55}$

Step 6.2

Multiply $3$ by $5$ .

$\frac{- 132 + 15}{55}$

Step 6.3

Add $- 132$ and $15$ .

$\frac{- 117}{55}$

Step 7

Move the negative in front of the fraction.

$- \frac{117}{55}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{117}{55}$

Decimal Form:

$- 2.1\overline{27}$

Mixed Number Form:

$- 2 \frac{7}{55}$