Solve |3*1/6-(0.25+0.125)

$$| 3 \times \frac { 1 } { 6 } - ( 0.25 + 0.125 )$$

Evaluate

$$0.125$$

Solution Steps

Multiply 3 and \frac{1}{6} to get \frac{3}{6}.

$$|\frac{3}{6}-\left(0.25+0.125\right)|$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$|\frac{1}{2}-\left(0.25+0.125\right)|$$

Add 0.25 and 0.125 to get 0.375.

$$|\frac{1}{2}-0.375|$$

Convert decimal number 0.375 to fraction \frac{375}{1000}. Reduce the fraction \frac{375}{1000} to lowest terms by extracting and canceling out 125.

$$|\frac{1}{2}-\frac{3}{8}|$$

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{3}{8} to fractions with denominator 8.

$$|\frac{4}{8}-\frac{3}{8}|$$

Since \frac{4}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$|\frac{4-3}{8}|$$

Subtract 3 from 4 to get 1.

$$|\frac{1}{8}|$$

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}{8} is \frac{1}{8}.

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$