Solve 7/12-1/24+2/6

$$\frac { 7 } { 12 } - \frac { 1 } { 24 } + \frac { 2 } { 6 }$$

Evaluate

$$\frac{7}{8}=0.875$$

Solution Steps

Least common multiple of 12 and 24 is 24. Convert \frac{7}{12} and \frac{1}{24} to fractions with denominator 24.

$$\frac{14}{24}-\frac{1}{24}+\frac{2}{6}$$

Since \frac{14}{24} and \frac{1}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-1}{24}+\frac{2}{6}$$

Subtract 1 from 14 to get 13.

$$\frac{13}{24}+\frac{2}{6}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{13}{24}+\frac{1}{3}$$

Least common multiple of 24 and 3 is 24. Convert \frac{13}{24} and \frac{1}{3} to fractions with denominator 24.

$$\frac{13}{24}+\frac{8}{24}$$

Since \frac{13}{24} and \frac{8}{24} have the same denominator, add them by adding their numerators.

$$\frac{13+8}{24}$$

Add 13 and 8 to get 21.

$$\frac{21}{24}$$

Reduce the fraction \frac{21}{24} to lowest terms by extracting and canceling out 3.

$$\frac{7}{8}$$

Factor

$$\frac{7}{2 ^ {3}} = 0.875$$