Evaluate -2/5-4/5+(-9/10)

$- \frac{2}{5} - \frac{4}{5} + (- \frac{9}{10})$

Step 1

Combine fractions.

Remove parentheses.

$- \frac{2}{5} - \frac{4}{5} - \frac{9}{10}$

Combine the numerators over the common denominator.

$\frac{- 2 - 4}{5} + \frac{- 9}{10}$

Subtract $4$ from $- 2$ .

$\frac{- 6}{5} + \frac{- 9}{10}$

Step 2

Simplify each term.

Move the negative in front of the fraction.

$- \frac{6}{5} + \frac{- 9}{10}$

Move the negative in front of the fraction.

$- \frac{6}{5} - \frac{9}{10}$

Step 3

To write $- \frac{6}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{6}{5} \cdot \frac{2}{2} - \frac{9}{10}$

Step 4

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{6}{5}$ by $\frac{2}{2}$ .

$- \frac{6 \cdot 2}{5 \cdot 2} - \frac{9}{10}$

Multiply $5$ by $2$ .

$- \frac{6 \cdot 2}{10} - \frac{9}{10}$

Step 5

Combine the numerators over the common denominator.

$\frac{- 6 \cdot 2 - 9}{10}$

Step 6

Simplify the numerator.

Multiply $- 6$ by $2$ .

$\frac{- 12 - 9}{10}$

Subtract $9$ from $- 12$ .

$\frac{- 21}{10}$

Step 7

Move the negative in front of the fraction.

$- \frac{21}{10}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{21}{10}$

Decimal Form:

$- 2.1$

Mixed Number Form:

$- 2 \frac{1}{10}$