Solve |-1/15-1/5

$$| - \frac { 1 } { 15 } - \frac { 1 } { 5 }$$

Evaluate

$$\frac{4}{15}\approx 0.266666667$$

Solution Steps

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

$$|-\frac{1}{15}-\frac{3}{15}|$$

Since -\frac{1}{15} and \frac{3}{15} have the same denominator, subtract them by subtracting their numerators.

$$|\frac{-1-3}{15}|$$

Subtract 3 from -1 to get -4.

$$|-\frac{4}{15}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{4}{15} is \frac{4}{15}.

$$\frac{4}{15}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$