Evaluate 4/5-9/10

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

Step 1

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

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

Step 2

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

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

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

Multiply $5$ by $2$ .

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

Step 3

Combine the numerators over the common denominator.

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

Step 4

Simplify the numerator.

Multiply $4$ by $2$ .

$\frac{8 - 9}{10}$

Subtract $9$ from $8$ .

$\frac{- 1}{10}$

Step 5

Move the negative in front of the fraction.

$- \frac{1}{10}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{10}$

Decimal Form:

$- 0.1$