Solve 2*1(4)+5(-2)/1+(-2)(5)

$$2 \times \frac{ 1(4)+5(-2) }{ 1+(-2)(5) }$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Multiply 1 and 4 to get 4. Multiply 5 and -2 to get -10.

$$2\times \frac{4-10}{1-2\times 5}$$

Subtract 10 from 4 to get -6.

$$2\times \frac{-6}{1-2\times 5}$$

Multiply -2 and 5 to get -10.

$$2\times \frac{-6}{1-10}$$

Subtract 10 from 1 to get -9.

$$2\times \frac{-6}{-9}$$

Reduce the fraction \frac{-6}{-9} to lowest terms by extracting and canceling out -3.

$$2\times \frac{2}{3}$$

Express 2\times \frac{2}{3} as a single fraction.

$$\frac{2\times 2}{3}$$

Multiply 2 and 2 to get 4.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$