Solve 3-1/2+5/6-3/4-1

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

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

Subtract 1 from 3 to get 2.

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

Divide 2 by 2 to get 1.

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

Convert 1 to fraction \frac{6}{6}.

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

Since \frac{6}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

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

Add 6 and 5 to get 11.

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

Least common multiple of 6 and 4 is 12. Convert \frac{11}{6} and \frac{3}{4} to fractions with denominator 12.

$$\frac{22}{12}-\frac{9}{12}-1$$

Since \frac{22}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-9}{12}-1$$

Subtract 9 from 22 to get 13.

$$\frac{13}{12}-1$$

Convert 1 to fraction \frac{12}{12}.

$$\frac{13}{12}-\frac{12}{12}$$

Since \frac{13}{12} and \frac{12}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-12}{12}$$

Subtract 12 from 13 to get 1.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$