Evaluate -9/10+1/2

$- \frac{9}{10} + \frac{1}{2}$

Step 1

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- \frac{9}{10} + \frac{1}{2} \cdot \frac{5}{5}$

Step 2

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

Multiply $\frac{1}{2}$ by $\frac{5}{5}$ .

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

Multiply $2$ by $5$ .

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

Step 3

Simplify the expression.

Combine the numerators over the common denominator.

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

Add $- 9$ and $5$ .

$\frac{- 4}{10}$

Step 4

Cancel the common factor of $- 4$ and $10$ .

Factor $2$ out of $- 4$ .

$\frac{2 (- 2)}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$\frac{2 \cdot - 2}{2 \cdot 5}$

Cancel the common factor.

$\frac{2 \cdot - 2}{2 \cdot 5}$

Rewrite the expression.

$\frac{- 2}{5}$

Step 5

Move the negative in front of the fraction.

$- \frac{2}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{5}$

Decimal Form:

$- 0.4$