Solve 7/24+3/12+2/15

$$\frac { 7 } { 24 } + \frac { 3 } { 12 } + \frac { 2 } { 15 }$$

Evaluate

$$\frac{27}{40}=0.675$$

Solution Steps

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$\frac{7}{24}+\frac{1}{4}+\frac{2}{15}$$

Least common multiple of 24 and 4 is 24. Convert \frac{7}{24} and \frac{1}{4} to fractions with denominator 24.

$$\frac{7}{24}+\frac{6}{24}+\frac{2}{15}$$

Since \frac{7}{24} and \frac{6}{24} have the same denominator, add them by adding their numerators.

$$\frac{7+6}{24}+\frac{2}{15}$$

Add 7 and 6 to get 13.

$$\frac{13}{24}+\frac{2}{15}$$

Least common multiple of 24 and 15 is 120. Convert \frac{13}{24} and \frac{2}{15} to fractions with denominator 120.

$$\frac{65}{120}+\frac{16}{120}$$

Since \frac{65}{120} and \frac{16}{120} have the same denominator, add them by adding their numerators.

$$\frac{65+16}{120}$$

Add 65 and 16 to get 81.

$$\frac{81}{120}$$

Reduce the fraction \frac{81}{120} to lowest terms by extracting and canceling out 3.

$$\frac{27}{40}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {3} \cdot 5} = 0.675$$