Solve -2.7+1/270/frac{4{3}}

$$\frac { - 2.7 + \frac { 1 } { 270 } } { \frac { 4 } { 3 } }$$

Evaluate

$$-\frac{91}{45}\approx -2.022222222$$

Solution Steps

Convert decimal number -2.7 to fraction -\frac{27}{10}.

$$\frac{-\frac{27}{10}+\frac{1}{270}}{\frac{4}{3}}$$

Least common multiple of 10 and 270 is 270. Convert -\frac{27}{10} and \frac{1}{270} to fractions with denominator 270.

$$\frac{-\frac{729}{270}+\frac{1}{270}}{\frac{4}{3}}$$

Since -\frac{729}{270} and \frac{1}{270} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-729+1}{270}}{\frac{4}{3}}$$

Add -729 and 1 to get -728.

$$\frac{\frac{-728}{270}}{\frac{4}{3}}$$

Reduce the fraction \frac{-728}{270} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{364}{135}}{\frac{4}{3}}$$

Divide -\frac{364}{135} by \frac{4}{3} by multiplying -\frac{364}{135} by the reciprocal of \frac{4}{3}.

$$-\frac{364}{135}\times \frac{3}{4}$$

Multiply -\frac{364}{135} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-364\times 3}{135\times 4}$$

Do the multiplications in the fraction \frac{-364\times 3}{135\times 4}.

$$\frac{-1092}{540}$$

Reduce the fraction \frac{-1092}{540} to lowest terms by extracting and canceling out 12.

$$-\frac{91}{45}$$

Factor

$$-\frac{91}{45} = -2\frac{1}{45} = -2.022222222222222$$