Solve 1/6+0.9

$$\frac { 1 } { 6 } + 0.9$$

Evaluate

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

Solution Steps

Convert decimal number 0.9 to fraction \frac{9}{10}.

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

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

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

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

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

Add 5 and 27 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

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