Solve 4:-2/5:10/3

$$4 : \frac { - 2 } { 5 } : \frac { 10 } { 3 }$$

Evaluate

$$-3$$

Solution Steps

Divide \frac{4}{\frac{-2}{5}} by \frac{10}{3} by multiplying \frac{4}{\frac{-2}{5}} by the reciprocal of \frac{10}{3}.

$$\frac{4\times 3}{\frac{-2}{5}\times 10}$$

Multiply 4 and 3 to get 12.

$$\frac{12}{\frac{-2}{5}\times 10}$$

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$\frac{12}{-\frac{2}{5}\times 10}$$

Express -\frac{2}{5}\times 10 as a single fraction.

$$\frac{12}{\frac{-2\times 10}{5}}$$

Multiply -2 and 10 to get -20.

$$\frac{12}{\frac{-20}{5}}$$

Divide -20 by 5 to get -4.

$$\frac{12}{-4}$$

Divide 12 by -4 to get -3.

$$-3$$

Factor

$$-3$$