Solve 21/4-31/6

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

Evaluate

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

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+1}{4}-\frac{3\times 6+1}{6}$$

Add 8 and 1 to get 9.

$$\frac{9}{4}-\frac{3\times 6+1}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{9}{4}-\frac{18+1}{6}$$

Add 18 and 1 to get 19.

$$\frac{9}{4}-\frac{19}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{9}{4} and \frac{19}{6} to fractions with denominator 12.

$$\frac{27}{12}-\frac{38}{12}$$

Since \frac{27}{12} and \frac{38}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-38}{12}$$

Subtract 38 from 27 to get -11.

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

Factor

$$-\frac{11}{12} = -0.9166666666666666$$