Solve 6*(2/15+1/12)-1/8

$$6 \times ( \frac { 2 } { 15 } + \frac { 1 } { 12 } ) - \frac { 1 } { 8 }$$

Evaluate

$$\frac{47}{40}=1.175$$

Solution Steps

Least common multiple of 15 and 12 is 60. Convert \frac{2}{15} and \frac{1}{12} to fractions with denominator 60.

$$6\left(\frac{8}{60}+\frac{5}{60}\right)-\frac{1}{8}$$

Since \frac{8}{60} and \frac{5}{60} have the same denominator, add them by adding their numerators.

$$6\times \frac{8+5}{60}-\frac{1}{8}$$

Add 8 and 5 to get 13.

$$6\times \frac{13}{60}-\frac{1}{8}$$

Express 6\times \frac{13}{60} as a single fraction.

$$\frac{6\times 13}{60}-\frac{1}{8}$$

Multiply 6 and 13 to get 78.

$$\frac{78}{60}-\frac{1}{8}$$

Reduce the fraction \frac{78}{60} to lowest terms by extracting and canceling out 6.

$$\frac{13}{10}-\frac{1}{8}$$

Least common multiple of 10 and 8 is 40. Convert \frac{13}{10} and \frac{1}{8} to fractions with denominator 40.

$$\frac{52}{40}-\frac{5}{40}$$

Since \frac{52}{40} and \frac{5}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{52-5}{40}$$

Subtract 5 from 52 to get 47.

$$\frac{47}{40}$$

Factor

$$\frac{47}{2 ^ {3} \cdot 5} = 1\frac{7}{40} = 1.175$$