Evaluate -4/5-2/9

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

Step 1

To write $- \frac{4}{5}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

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

Step 2

To write $- \frac{2}{9}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

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

Step 3

Write each expression with a common denominator of $45$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{4}{5}$ by $\frac{9}{9}$ .

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

Multiply $5$ by $9$ .

$- \frac{4 \cdot 9}{45} - \frac{2}{9} \cdot \frac{5}{5}$

Multiply $\frac{2}{9}$ by $\frac{5}{5}$ .

$- \frac{4 \cdot 9}{45} - \frac{2 \cdot 5}{9 \cdot 5}$

Multiply $9$ by $5$ .

$- \frac{4 \cdot 9}{45} - \frac{2 \cdot 5}{45}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 4 \cdot 9 - 2 \cdot 5}{45}$

Step 5

Simplify the numerator.

Multiply $- 4$ by $9$ .

$\frac{- 36 - 2 \cdot 5}{45}$

Multiply $- 2$ by $5$ .

$\frac{- 36 - 10}{45}$

Subtract $10$ from $- 36$ .

$\frac{- 46}{45}$

Step 6

Move the negative in front of the fraction.

$- \frac{46}{45}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{46}{45}$

Decimal Form:

$- 1.0\overline{2}$

Mixed Number Form:

$- 1 \frac{1}{45}$