Solve 4/3-121/12

$$\frac { 4 } { 3 } - \frac { 121 } { 12 }$$

Evaluate

$$-\frac{35}{4}=-8.75$$

Solution Steps

Least common multiple of 3 and 12 is 12. Convert \frac{4}{3} and \frac{121}{12} to fractions with denominator 12.

$$\frac{16}{12}-\frac{121}{12}$$

Since \frac{16}{12} and \frac{121}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-121}{12}$$

Subtract 121 from 16 to get -105.

$$\frac{-105}{12}$$

Reduce the fraction \frac{-105}{12} to lowest terms by extracting and canceling out 3.

$$-\frac{35}{4}$$

Factor

$$-\frac{35}{4} = -8\frac{3}{4} = -8.75$$