Solve 4-0,6+1/6

$$4 - 0,6 + \frac { 1 } { 6 }$$

Evaluate

$$\frac{107}{30}\approx 3,566666667$$

Solution Steps

Subtract 0,6 from 4 to get 3,4.

$$3,4+\frac{1}{6}$$

Convert decimal number 3,4 to fraction \frac{34}{10}. Reduce the fraction \frac{34}{10} to lowest terms by extracting and canceling out 2.

$$\frac{17}{5}+\frac{1}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{17}{5} and \frac{1}{6} to fractions with denominator 30.

$$\frac{102}{30}+\frac{5}{30}$$

Since \frac{102}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{102+5}{30}$$

Add 102 and 5 to get 107.

$$\frac{107}{30}$$

Factor

$$\frac{107}{2 \cdot 3 \cdot 5} = 3\frac{17}{30} = 3.566666666666667$$