Solve 3/5+(7/10-1/6)

$$\frac{ 3 }{ 5 } +( \frac{ 7 }{ 10 } - \frac{ 1 }{ 6 } )$$

Evaluate

$$\frac{17}{15}\approx 1.133333333$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{3}{5} and \frac{7}{10} to fractions with denominator 10.

$$\frac{6}{10}+\frac{7}{10}-\frac{1}{6}$$

Since \frac{6}{10} and \frac{7}{10} have the same denominator, add them by adding their numerators.

$$\frac{6+7}{10}-\frac{1}{6}$$

Add 6 and 7 to get 13.

$$\frac{13}{10}-\frac{1}{6}$$

Least common multiple of 10 and 6 is 30. Convert \frac{13}{10} and \frac{1}{6} to fractions with denominator 30.

$$\frac{39}{30}-\frac{5}{30}$$

Since \frac{39}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-5}{30}$$

Subtract 5 from 39 to get 34.

$$\frac{34}{30}$$

Reduce the fraction \frac{34}{30} to lowest terms by extracting and canceling out 2.

$$\frac{17}{15}$$

Factor

$$\frac{17}{3 \cdot 5} = 1\frac{2}{15} = 1.1333333333333333$$