Solve 11/4-12/3

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

Evaluate

$$-\frac{5}{12}\approx -0.416666667$$

Solution Steps

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

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

Multiply 1 and 3 to get 3.

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

Add 3 and 2 to get 5.

$$\frac{5}{4}-\frac{5}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{5}{4} and \frac{5}{3} to fractions with denominator 12.

$$\frac{15}{12}-\frac{20}{12}$$

Since \frac{15}{12} and \frac{20}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-20}{12}$$

Subtract 20 from 15 to get -5.

$$-\frac{5}{12}$$

Factor

$$-\frac{5}{12} = -0.4166666666666667$$