Solve |1/3-0,4|

$$| \frac { 1 } { 3 } - 0,4 |$$

Evaluate

$$\frac{1}{15}\approx 0,066666667$$

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.

$$|\frac{1}{3}-\frac{2}{5}|$$

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{2}{5} to fractions with denominator 15.

$$|\frac{5}{15}-\frac{6}{15}|$$

Since \frac{5}{15} and \frac{6}{15} have the same denominator, subtract them by subtracting their numerators.

$$|\frac{5-6}{15}|$$

Subtract 6 from 5 to get -1.

$$|-\frac{1}{15}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{1}{15} is \frac{1}{15}.

$$\frac{1}{15}$$

Factor

$$\frac{1}{3 \cdot 5} = 0.06666666666666667$$