Solve 35/6-1/4div11/2

$$3 \frac { 5 } { 6 } - \frac { 1 } { 4 } \div 1 \frac { 1 } { 2 }$$

Evaluate

$$\frac{11}{3}\approx 3.666666667$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+5}{6}-\frac{\frac{1}{4}}{\frac{1\times 2+1}{2}}$$

Add 18 and 5 to get 23.

$$\frac{23}{6}-\frac{\frac{1}{4}}{\frac{1\times 2+1}{2}}$$

Divide \frac{1}{4} by \frac{1\times 2+1}{2} by multiplying \frac{1}{4} by the reciprocal of \frac{1\times 2+1}{2}.

$$\frac{23}{6}-\frac{2}{4\left(1\times 2+1\right)}$$

Multiply 1 and 2 to get 2.

$$\frac{23}{6}-\frac{2}{4\left(2+1\right)}$$

Add 2 and 1 to get 3.

$$\frac{23}{6}-\frac{2}{4\times 3}$$

Multiply 4 and 3 to get 12.

$$\frac{23}{6}-\frac{2}{12}$$

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

$$\frac{23}{6}-\frac{1}{6}$$

Since \frac{23}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-1}{6}$$

Subtract 1 from 23 to get 22.

$$\frac{22}{6}$$

Reduce the fraction \frac{22}{6} to lowest terms by extracting and canceling out 2.

$$\frac{11}{3}$$

Factor

$$\frac{11}{3} = 3\frac{2}{3} = 3.6666666666666665$$