Solve 120(1/54)+-3(53/54)

$$120( \frac{ 1 }{ 54 } )+-3( \frac{ 53 }{ 54 } )$$

Evaluate

$$-\frac{13}{18}\approx -0.722222222$$

Solution Steps

Multiply 120 and \frac{1}{54} to get \frac{120}{54}.

$$\frac{120}{54}-3\times \frac{53}{54}$$

Reduce the fraction \frac{120}{54} to lowest terms by extracting and canceling out 6.

$$\frac{20}{9}-3\times \frac{53}{54}$$

Express -3\times \frac{53}{54} as a single fraction.

$$\frac{20}{9}+\frac{-3\times 53}{54}$$

Multiply -3 and 53 to get -159.

$$\frac{20}{9}+\frac{-159}{54}$$

Reduce the fraction \frac{-159}{54} to lowest terms by extracting and canceling out 3.

$$\frac{20}{9}-\frac{53}{18}$$

Least common multiple of 9 and 18 is 18. Convert \frac{20}{9} and \frac{53}{18} to fractions with denominator 18.

$$\frac{40}{18}-\frac{53}{18}$$

Since \frac{40}{18} and \frac{53}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-53}{18}$$

Subtract 53 from 40 to get -13.

$$-\frac{13}{18}$$

Factor

$$-\frac{13}{18} = -0.7222222222222222$$