Solve 61/8-25/12

$$6 \frac { 1 } { 8 } - 2 \frac { 5 } { 12 }$$

Evaluate

$$\frac{89}{24}\approx 3.708333333$$

Solution Steps

Multiply 6 and 8 to get 48.

$$\frac{48+1}{8}-\frac{2\times 12+5}{12}$$

Add 48 and 1 to get 49.

$$\frac{49}{8}-\frac{2\times 12+5}{12}$$

Multiply 2 and 12 to get 24.

$$\frac{49}{8}-\frac{24+5}{12}$$

Add 24 and 5 to get 29.

$$\frac{49}{8}-\frac{29}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{49}{8} and \frac{29}{12} to fractions with denominator 24.

$$\frac{147}{24}-\frac{58}{24}$$

Since \frac{147}{24} and \frac{58}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{147-58}{24}$$

Subtract 58 from 147 to get 89.

$$\frac{89}{24}$$

Factor

$$\frac{89}{2 ^ {3} \cdot 3} = 3\frac{17}{24} = 3.7083333333333335$$