Divide -2÷(-3 4/5)

$- 2 \div (- 3 \frac{4}{5})$

Step 1

Convert $3 \frac{4}{5}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$- 2 \div (- (3 + \frac{4}{5}))$

Add $3$ and $\frac{4}{5}$ .

To write $3$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- 2 \div (- (3 \cdot \frac{5}{5} + \frac{4}{5}))$

Combine $3$ and $\frac{5}{5}$ .

$- 2 \div (- (\frac{3 \cdot 5}{5} + \frac{4}{5}))$

Combine the numerators over the common denominator.

$- 2 \div (- \frac{3 \cdot 5 + 4}{5})$

Simplify the numerator.

Multiply $3$ by $5$ .

$- 2 \div (- \frac{15 + 4}{5})$

Add $15$ and $4$ .

$- 2 \div (- \frac{19}{5})$

Step 2

To divide by a fraction, multiply by its reciprocal.

$- 2 (- \frac{5}{19})$

Step 3

Multiply $- 2 (- \frac{5}{19})$ .

Multiply $- 1$ by $- 2$ .

$2 (\frac{5}{19})$

Combine $2$ and $\frac{5}{19}$ .

$\frac{2 \cdot 5}{19}$

Multiply $2$ by $5$ .

$\frac{10}{19}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{10}{19}$

Decimal Form:

$0.52631578 \dots$