Solve 241/8-192/3

$$24 \frac { 1 } { 8 } - 19 \frac { 2 } { 3 }$$

Evaluate

$$\frac{107}{24}\approx 4.458333333$$

Solution Steps

Multiply 24 and 8 to get 192.

$$\frac{192+1}{8}-\frac{19\times 3+2}{3}$$

Add 192 and 1 to get 193.

$$\frac{193}{8}-\frac{19\times 3+2}{3}$$

Multiply 19 and 3 to get 57.

$$\frac{193}{8}-\frac{57+2}{3}$$

Add 57 and 2 to get 59.

$$\frac{193}{8}-\frac{59}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{193}{8} and \frac{59}{3} to fractions with denominator 24.

$$\frac{579}{24}-\frac{472}{24}$$

Since \frac{579}{24} and \frac{472}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{579-472}{24}$$

Subtract 472 from 579 to get 107.

$$\frac{107}{24}$$

Factor

$$\frac{107}{2 ^ {3} \cdot 3} = 4\frac{11}{24} = 4.458333333333333$$