Simplify -4/5+3/10

$- \frac{4}{5} + \frac{3}{10}$

To write $- \frac{4}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{4}{5} \cdot \frac{2}{2} + \frac{3}{10}$

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

Multiply $\frac{4}{5}$ by $\frac{2}{2}$ .

$- \frac{4 \cdot 2}{5 \cdot 2} + \frac{3}{10}$

Multiply $5$ by $2$ .

$- \frac{4 \cdot 2}{10} + \frac{3}{10}$

Combine the numerators over the common denominator.

$\frac{- 4 \cdot 2 + 3}{10}$

Simplify the numerator.

Multiply $- 4$ by $2$ .

$\frac{- 8 + 3}{10}$

Add $- 8$ and $3$ .

$\frac{- 5}{10}$

Cancel the common factor of $- 5$ and $10$ .

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{10}$

Cancel the common factors.

Factor $5$ out of $10$ .

$\frac{5 \cdot - 1}{5 \cdot 2}$

Cancel the common factor.

$\frac{5 \cdot - 1}{5 \cdot 2}$

Rewrite the expression.

$\frac{- 1}{2}$

Move the negative in front of the fraction.

$- \frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$