Solve 11/2divleft((2/3-1/4)*6right)

$$1 \frac{ 1 }{ 2 } \div \left( ( \frac{ 2 }{ 3 } - \frac{ 1 }{ 4 } ) \times 6 \right)$$

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{\frac{2+1}{2}}{\left(\frac{2}{3}-\frac{1}{4}\right)\times 6}$$

Add 2 and 1 to get 3.

$$\frac{\frac{3}{2}}{\left(\frac{2}{3}-\frac{1}{4}\right)\times 6}$$

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{\frac{3}{2}}{\left(\frac{8}{12}-\frac{3}{12}\right)\times 6}$$

Since \frac{8}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3}{2}}{\frac{8-3}{12}\times 6}$$

Subtract 3 from 8 to get 5.

$$\frac{\frac{3}{2}}{\frac{5}{12}\times 6}$$

Express \frac{5}{12}\times 6 as a single fraction.

$$\frac{\frac{3}{2}}{\frac{5\times 6}{12}}$$

Multiply 5 and 6 to get 30.

$$\frac{\frac{3}{2}}{\frac{30}{12}}$$

Reduce the fraction \frac{30}{12} to lowest terms by extracting and canceling out 6.

$$\frac{\frac{3}{2}}{\frac{5}{2}}$$

Divide \frac{3}{2} by \frac{5}{2} by multiplying \frac{3}{2} by the reciprocal of \frac{5}{2}.

$$\frac{3}{2}\times \frac{2}{5}$$

Multiply \frac{3}{2} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{2\times 5}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$