Solve 5/10+7/15+5/25

$$\frac { 5 } { 10 } + \frac { 7 } { 15 } + \frac { 5 } { 25 }$$

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}+\frac{7}{15}+\frac{5}{25}$$

Least common multiple of 2 and 15 is 30. Convert \frac{1}{2} and \frac{7}{15} to fractions with denominator 30.

$$\frac{15}{30}+\frac{14}{30}+\frac{5}{25}$$

Since \frac{15}{30} and \frac{14}{30} have the same denominator, add them by adding their numerators.

$$\frac{15+14}{30}+\frac{5}{25}$$

Add 15 and 14 to get 29.

$$\frac{29}{30}+\frac{5}{25}$$

Reduce the fraction \frac{5}{25} to lowest terms by extracting and canceling out 5.

$$\frac{29}{30}+\frac{1}{5}$$

Least common multiple of 30 and 5 is 30. Convert \frac{29}{30} and \frac{1}{5} to fractions with denominator 30.

$$\frac{29}{30}+\frac{6}{30}$$

Since \frac{29}{30} and \frac{6}{30} have the same denominator, add them by adding their numerators.

$$\frac{29+6}{30}$$

Add 29 and 6 to get 35.

$$\frac{35}{30}$$

Reduce the fraction \frac{35}{30} to lowest terms by extracting and canceling out 5.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$