Solve 22/3-33/4

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

Evaluate

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

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+2}{3}-\frac{3\times 4+3}{4}$$

Add 6 and 2 to get 8.

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

Multiply 3 and 4 to get 12.

$$\frac{8}{3}-\frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$\frac{8}{3}-\frac{15}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{8}{3} and \frac{15}{4} to fractions with denominator 12.

$$\frac{32}{12}-\frac{45}{12}$$

Since \frac{32}{12} and \frac{45}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-45}{12}$$

Subtract 45 from 32 to get -13.

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

Factor

$$-\frac{13}{12} = -1\frac{1}{12} = -1.0833333333333333$$