Solve 9/10+1/6

$$\frac { 9 } { 10 } + \frac { 1 } { 6 }$$

Evaluate

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

Solution Steps

Least common multiple of 10 and 6 is 30. Convert \frac{9}{10} and \frac{1}{6} to fractions with denominator 30.

$$\frac{27}{30}+\frac{5}{30}$$

Since \frac{27}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{27+5}{30}$$

Add 27 and 5 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

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