Solve 4/5-7/15+7/10

$$\frac{ 4 }{ 5 } - \frac{ 7 }{ 15 } + \frac{ 7 }{ 10 }$$

Evaluate

$$\frac{31}{30}\approx 1.033333333$$

Solution Steps

Least common multiple of 5 and 15 is 15. Convert \frac{4}{5} and \frac{7}{15} to fractions with denominator 15.

$$\frac{12}{15}-\frac{7}{15}+\frac{7}{10}$$

Since \frac{12}{15} and \frac{7}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-7}{15}+\frac{7}{10}$$

Subtract 7 from 12 to get 5.

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

Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.

$$\frac{1}{3}+\frac{7}{10}$$

Least common multiple of 3 and 10 is 30. Convert \frac{1}{3} and \frac{7}{10} to fractions with denominator 30.

$$\frac{10}{30}+\frac{21}{30}$$

Since \frac{10}{30} and \frac{21}{30} have the same denominator, add them by adding their numerators.

$$\frac{10+21}{30}$$

Add 10 and 21 to get 31.

$$\frac{31}{30}$$

Factor

$$\frac{31}{2 \cdot 3 \cdot 5} = 1\frac{1}{30} = 1.0333333333333334$$