Solve 1/6+0.4

$$\frac { 1 } { 6 } + 0.4$$

Evaluate

$$\frac{17}{30}\approx 0.566666667$$

Solution Steps

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{6}+\frac{2}{5}$$

Least common multiple of 6 and 5 is 30. Convert \frac{1}{6} and \frac{2}{5} to fractions with denominator 30.

$$\frac{5}{30}+\frac{12}{30}$$

Since \frac{5}{30} and \frac{12}{30} have the same denominator, add them by adding their numerators.

$$\frac{5+12}{30}$$

Add 5 and 12 to get 17.

$$\frac{17}{30}$$

Factor

$$\frac{17}{2 \cdot 3 \cdot 5} = 0.5666666666666667$$