Solve 11/4-1/6=

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

Evaluate

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

Solution Steps

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

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

Least common multiple of 4 and 6 is 12. Convert \frac{5}{4} and \frac{1}{6} to fractions with denominator 12.

$$\frac{15}{12}-\frac{2}{12}$$

Since \frac{15}{12} and \frac{2}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-2}{12}$$

Subtract 2 from 15 to get 13.

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

Factor

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