Solve 5/12+1/8+1/4-1/24

$$\frac{ 5 }{ 12 } + \frac{ 1 }{ 8 } + \frac{ 1 }{ 4 } - \frac{ 1 }{ 24 }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Least common multiple of 12 and 8 is 24. Convert \frac{5}{12} and \frac{1}{8} to fractions with denominator 24.

$$\frac{10}{24}+\frac{3}{24}+\frac{1}{4}-\frac{1}{24}$$

Since \frac{10}{24} and \frac{3}{24} have the same denominator, add them by adding their numerators.

$$\frac{10+3}{24}+\frac{1}{4}-\frac{1}{24}$$

Add 10 and 3 to get 13.

$$\frac{13}{24}+\frac{1}{4}-\frac{1}{24}$$

Least common multiple of 24 and 4 is 24. Convert \frac{13}{24} and \frac{1}{4} to fractions with denominator 24.

$$\frac{13}{24}+\frac{6}{24}-\frac{1}{24}$$

Since \frac{13}{24} and \frac{6}{24} have the same denominator, add them by adding their numerators.

$$\frac{13+6}{24}-\frac{1}{24}$$

Add 13 and 6 to get 19.

$$\frac{19}{24}-\frac{1}{24}$$

Since \frac{19}{24} and \frac{1}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-1}{24}$$

Subtract 1 from 19 to get 18.

$$\frac{18}{24}$$

Reduce the fraction \frac{18}{24} to lowest terms by extracting and canceling out 6.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$