Solve 7/120+7/20+7/24

$$\frac { 7 } { 120 } + \frac { 7 } { 20 } + \frac { 7 } { 24 }$$

Evaluate

$$\frac{7}{10}=0.7$$

Solution Steps

Least common multiple of 120 and 20 is 120. Convert \frac{7}{120} and \frac{7}{20} to fractions with denominator 120.

$$\frac{7}{120}+\frac{42}{120}+\frac{7}{24}$$

Since \frac{7}{120} and \frac{42}{120} have the same denominator, add them by adding their numerators.

$$\frac{7+42}{120}+\frac{7}{24}$$

Add 7 and 42 to get 49.

$$\frac{49}{120}+\frac{7}{24}$$

Least common multiple of 120 and 24 is 120. Convert \frac{49}{120} and \frac{7}{24} to fractions with denominator 120.

$$\frac{49}{120}+\frac{35}{120}$$

Since \frac{49}{120} and \frac{35}{120} have the same denominator, add them by adding their numerators.

$$\frac{49+35}{120}$$

Add 49 and 35 to get 84.

$$\frac{84}{120}$$

Reduce the fraction \frac{84}{120} to lowest terms by extracting and canceling out 12.

$$\frac{7}{10}$$

Factor

$$\frac{7}{2 \cdot 5} = 0.7$$