Solve 1/4-1/3+1=

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

Evaluate

$$\frac{11}{12}\approx 0.916666667$$

Solution Steps

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

$$\frac{3}{12}-\frac{4}{12}+1$$

Since \frac{3}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-4}{12}+1$$

Subtract 4 from 3 to get -1.

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

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

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

Since -\frac{1}{12} and \frac{12}{12} have the same denominator, add them by adding their numerators.

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

Add -1 and 12 to get 11.

$$\frac{11}{12}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 3} = 0.9166666666666666$$