Solve 123/4-24/5

$$12 \frac { 3 } { 4 } - 2 \frac { 4 } { 5 }$$

Evaluate

$$\frac{199}{20}=9.95$$

Solution Steps

Multiply 12 and 4 to get 48.

$$\frac{48+3}{4}-\frac{2\times 5+4}{5}$$

Add 48 and 3 to get 51.

$$\frac{51}{4}-\frac{2\times 5+4}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{51}{4}-\frac{10+4}{5}$$

Add 10 and 4 to get 14.

$$\frac{51}{4}-\frac{14}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{51}{4} and \frac{14}{5} to fractions with denominator 20.

$$\frac{255}{20}-\frac{56}{20}$$

Since \frac{255}{20} and \frac{56}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{255-56}{20}$$

Subtract 56 from 255 to get 199.

$$\frac{199}{20}$$

Factor

$$\frac{199}{2 ^ {2} \cdot 5} = 9\frac{19}{20} = 9.95$$