Solve (7/15+2/20-5/24)

$$( \frac { 7 } { 15 } + \frac { 2 } { 20 } - \frac { 5 } { 24 } )$$

Evaluate

$$\frac{43}{120}\approx 0.358333333$$

Solution Steps

Reduce the fraction \frac{2}{20} to lowest terms by extracting and canceling out 2.

$$\frac{7}{15}+\frac{1}{10}-\frac{5}{24}$$

Least common multiple of 15 and 10 is 30. Convert \frac{7}{15} and \frac{1}{10} to fractions with denominator 30.

$$\frac{14}{30}+\frac{3}{30}-\frac{5}{24}$$

Since \frac{14}{30} and \frac{3}{30} have the same denominator, add them by adding their numerators.

$$\frac{14+3}{30}-\frac{5}{24}$$

Add 14 and 3 to get 17.

$$\frac{17}{30}-\frac{5}{24}$$

Least common multiple of 30 and 24 is 120. Convert \frac{17}{30} and \frac{5}{24} to fractions with denominator 120.

$$\frac{68}{120}-\frac{25}{120}$$

Since \frac{68}{120} and \frac{25}{120} have the same denominator, subtract them by subtracting their numerators.

$$\frac{68-25}{120}$$

Subtract 25 from 68 to get 43.

$$\frac{43}{120}$$

Factor

$$\frac{43}{2 ^ {3} \cdot 3 \cdot 5} = 0.35833333333333334$$