Solve (11/12-5/6)*3/4

$$( \frac { 11 } { 12 } - \frac { 5 } { 6 } ) \times \frac { 3 } { 4 }$$

Evaluate

$$\frac{1}{16}=0.0625$$

Solution Steps

Least common multiple of 12 and 6 is 12. Convert \frac{11}{12} and \frac{5}{6} to fractions with denominator 12.

$$\left(\frac{11}{12}-\frac{10}{12}\right)\times \frac{3}{4}$$

Since \frac{11}{12} and \frac{10}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-10}{12}\times \frac{3}{4}$$

Subtract 10 from 11 to get 1.

$$\frac{1}{12}\times \frac{3}{4}$$

Multiply \frac{1}{12} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{12\times 4}$$

Do the multiplications in the fraction \frac{1\times 3}{12\times 4}.

$$\frac{3}{48}$$

Reduce the fraction \frac{3}{48} to lowest terms by extracting and canceling out 3.

$$\frac{1}{16}$$

Factor

$$\frac{1}{2 ^ {4}} = 0.0625$$