Solve (3/4-1/2)div6/11

$$( \frac { 3 } { 4 } - \frac { 1 } { 2 } ) \div \frac { 6 } { 11 }$$

Evaluate

$$\frac{11}{24}\approx 0.458333333$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{\frac{3}{4}-\frac{2}{4}}{\frac{6}{11}}$$

Since \frac{3}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3-2}{4}}{\frac{6}{11}}$$

Subtract 2 from 3 to get 1.

$$\frac{\frac{1}{4}}{\frac{6}{11}}$$

Divide \frac{1}{4} by \frac{6}{11} by multiplying \frac{1}{4} by the reciprocal of \frac{6}{11}.

$$\frac{1}{4}\times \frac{11}{6}$$

Multiply \frac{1}{4} times \frac{11}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 11}{4\times 6}$$

Do the multiplications in the fraction \frac{1\times 11}{4\times 6}.

$$\frac{11}{24}$$

Factor

$$\frac{11}{2 ^ {3} \cdot 3} = 0.4583333333333333$$