Solve 2+3/4/1-2*frac{3{4}}

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

Evaluate

$$-\frac{11}{2}=-5.5$$

Solution Steps

Convert 2 to fraction \frac{8}{4}.

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

Since \frac{8}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

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

Add 8 and 3 to get 11.

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

Express 2\times \frac{3}{4} as a single fraction.

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

Multiply 2 and 3 to get 6.

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

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

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

Convert 1 to fraction \frac{2}{2}.

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

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

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

Subtract 3 from 2 to get -1.

$$\frac{\frac{11}{4}}{-\frac{1}{2}}$$

Divide \frac{11}{4} by -\frac{1}{2} by multiplying \frac{11}{4} by the reciprocal of -\frac{1}{2}.

$$\frac{11}{4}\left(-2\right)$$

Express \frac{11}{4}\left(-2\right) as a single fraction.

$$\frac{11\left(-2\right)}{4}$$

Multiply 11 and -2 to get -22.

$$\frac{-22}{4}$$

Reduce the fraction \frac{-22}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{11}{2}$$

Factor

$$-\frac{11}{2} = -5\frac{1}{2} = -5.5$$