Solve (0.5+1/3)*0.25-1/6

$$( 0.5 + \frac { 1 } { 3 } ) \times 0.25 - \frac { 1 } { 6 }$$

Evaluate

$$\frac{1}{24}\approx 0.041666667$$

Solution Steps

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\left(\frac{1}{2}+\frac{1}{3}\right)\times 0.25-\frac{1}{6}$$

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{1}{3} to fractions with denominator 6.

$$\left(\frac{3}{6}+\frac{2}{6}\right)\times 0.25-\frac{1}{6}$$

Since \frac{3}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{6}\times 0.25-\frac{1}{6}$$

Add 3 and 2 to get 5.

$$\frac{5}{6}\times 0.25-\frac{1}{6}$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{5}{6}\times \frac{1}{4}-\frac{1}{6}$$

Multiply \frac{5}{6} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 1}{6\times 4}-\frac{1}{6}$$

Do the multiplications in the fraction \frac{5\times 1}{6\times 4}.

$$\frac{5}{24}-\frac{1}{6}$$

Least common multiple of 24 and 6 is 24. Convert \frac{5}{24} and \frac{1}{6} to fractions with denominator 24.

$$\frac{5}{24}-\frac{4}{24}$$

Since \frac{5}{24} and \frac{4}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-4}{24}$$

Subtract 4 from 5 to get 1.

$$\frac{1}{24}$$

Factor

$$\frac{1}{3 \cdot 2 ^ {3}} = 0.041666666666666664$$