Solve (5/24-33/18)

$$( \frac { 5 } { 24 } - 3 \frac { 3 } { 18 } )$$

Evaluate

$$-\frac{71}{24}\approx -2.958333333$$

Solution Steps

Multiply 3 and 18 to get 54.

$$\frac{5}{24}-\frac{54+3}{18}$$

Add 54 and 3 to get 57.

$$\frac{5}{24}-\frac{57}{18}$$

Reduce the fraction \frac{57}{18} to lowest terms by extracting and canceling out 3.

$$\frac{5}{24}-\frac{19}{6}$$

Least common multiple of 24 and 6 is 24. Convert \frac{5}{24} and \frac{19}{6} to fractions with denominator 24.

$$\frac{5}{24}-\frac{76}{24}$$

Since \frac{5}{24} and \frac{76}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-76}{24}$$

Subtract 76 from 5 to get -71.

$$-\frac{71}{24}$$

Factor

$$-\frac{71}{24} = -2\frac{23}{24} = -2.9583333333333335$$