Solve 1-2/3+3/4

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

Evaluate

$$\frac{13}{12}\approx 1.083333333$$

Solution Steps

Convert 1 to fraction \frac{3}{3}.

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

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

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

Subtract 2 from 3 to get 1.

$$\frac{1}{3}+\frac{3}{4}$$

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

$$\frac{4}{12}+\frac{9}{12}$$

Since \frac{4}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{4+9}{12}$$

Add 4 and 9 to get 13.

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

Factor

$$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$$