Solve 23/4div(12/3-1/6)

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

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{\frac{8+3}{4}}{\frac{1\times 3+2}{3}-\frac{1}{6}}$$

Add 8 and 3 to get 11.

$$\frac{\frac{11}{4}}{\frac{1\times 3+2}{3}-\frac{1}{6}}$$

Multiply 1 and 3 to get 3.

$$\frac{\frac{11}{4}}{\frac{3+2}{3}-\frac{1}{6}}$$

Add 3 and 2 to get 5.

$$\frac{\frac{11}{4}}{\frac{5}{3}-\frac{1}{6}}$$

Least common multiple of 3 and 6 is 6. Convert \frac{5}{3} and \frac{1}{6} to fractions with denominator 6.

$$\frac{\frac{11}{4}}{\frac{10}{6}-\frac{1}{6}}$$

Since \frac{10}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{11}{4}}{\frac{10-1}{6}}$$

Subtract 1 from 10 to get 9.

$$\frac{\frac{11}{4}}{\frac{9}{6}}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

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

Divide \frac{11}{4} by \frac{3}{2} by multiplying \frac{11}{4} by the reciprocal of \frac{3}{2}.

$$\frac{11}{4}\times \frac{2}{3}$$

Multiply \frac{11}{4} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 2}{4\times 3}$$

Do the multiplications in the fraction \frac{11\times 2}{4\times 3}.

$$\frac{22}{12}$$

Reduce the fraction \frac{22}{12} to lowest terms by extracting and canceling out 2.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$