Solve (3/6-6/36)*1/12

$$( \frac { 3 } { 6 } - \frac { 6 } { 36 } ) \cdot \frac { 1 } { 12 }$$

Evaluate

$$\frac{1}{36}\approx 0.027777778$$

Solution Steps

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

$$\left(\frac{1}{2}-\frac{6}{36}\right)\times \frac{1}{12}$$

Reduce the fraction \frac{6}{36} to lowest terms by extracting and canceling out 6.

$$\left(\frac{1}{2}-\frac{1}{6}\right)\times \frac{1}{12}$$

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

$$\left(\frac{3}{6}-\frac{1}{6}\right)\times \frac{1}{12}$$

Since \frac{3}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-1}{6}\times \frac{1}{12}$$

Subtract 1 from 3 to get 2.

$$\frac{2}{6}\times \frac{1}{12}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}\times \frac{1}{12}$$

Multiply \frac{1}{3} times \frac{1}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{3\times 12}$$

Do the multiplications in the fraction \frac{1\times 1}{3\times 12}.

$$\frac{1}{36}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3 ^ {2}} = 0.027777777777777776$$