Solve 1/6+7/5-1/2=

$$\frac { 1 } { 6 } + \frac { 7 } { 5 } - \frac { 1 } { 2 } =$$

Evaluate

$$\frac{16}{15}\approx 1.066666667$$

Solution Steps

Least common multiple of 6 and 5 is 30. Convert \frac{1}{6} and \frac{7}{5} to fractions with denominator 30.

$$\frac{5}{30}+\frac{42}{30}-\frac{1}{2}$$

Since \frac{5}{30} and \frac{42}{30} have the same denominator, add them by adding their numerators.

$$\frac{5+42}{30}-\frac{1}{2}$$

Add 5 and 42 to get 47.

$$\frac{47}{30}-\frac{1}{2}$$

Least common multiple of 30 and 2 is 30. Convert \frac{47}{30} and \frac{1}{2} to fractions with denominator 30.

$$\frac{47}{30}-\frac{15}{30}$$

Since \frac{47}{30} and \frac{15}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{47-15}{30}$$

Subtract 15 from 47 to get 32.

$$\frac{32}{30}$$

Reduce the fraction \frac{32}{30} to lowest terms by extracting and canceling out 2.

$$\frac{16}{15}$$

Factor

$$\frac{2 ^ {4}}{3 \cdot 5} = 1\frac{1}{15} = 1.0666666666666667$$