Solve 0.8*-0.14/0.14+0.2*0.86/0.8

$$0.8 \times \frac { - 0.14 } { 0.14 } + 0.2 \times \frac { 0.86 } { 0.8 }$$

Evaluate

$$-0.585$$

Solution Steps

Divide -0.14 by 0.14 to get -1.

$$0.8\left(-1\right)+0.2\times \frac{0.86}{0.8}$$

Multiply 0.8 and -1 to get -0.8.

$$-0.8+0.2\times \frac{0.86}{0.8}$$

Expand \frac{0.86}{0.8} by multiplying both numerator and the denominator by 100.

$$-0.8+0.2\times \frac{86}{80}$$

Reduce the fraction \frac{86}{80} to lowest terms by extracting and canceling out 2.

$$-0.8+0.2\times \frac{43}{40}$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$-0.8+\frac{1}{5}\times \frac{43}{40}$$

Multiply \frac{1}{5} times \frac{43}{40} by multiplying numerator times numerator and denominator times denominator.

$$-0.8+\frac{1\times 43}{5\times 40}$$

Do the multiplications in the fraction \frac{1\times 43}{5\times 40}.

$$-0.8+\frac{43}{200}$$

Convert decimal number -0.8 to fraction -\frac{8}{10}. Reduce the fraction -\frac{8}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{4}{5}+\frac{43}{200}$$

Least common multiple of 5 and 200 is 200. Convert -\frac{4}{5} and \frac{43}{200} to fractions with denominator 200.

$$-\frac{160}{200}+\frac{43}{200}$$

Since -\frac{160}{200} and \frac{43}{200} have the same denominator, add them by adding their numerators.

$$\frac{-160+43}{200}$$

Add -160 and 43 to get -117.

$$-\frac{117}{200}$$

Factor

$$-0.585$$