Solve 41/8-15/12

$$4 \frac { 1 } { 8 } - 1 \frac { 5 } { 12 }$$

Evaluate

$$\frac{65}{24}\approx 2.708333333$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{32+1}{8}-\frac{1\times 12+5}{12}$$

Add 32 and 1 to get 33.

$$\frac{33}{8}-\frac{1\times 12+5}{12}$$

Multiply 1 and 12 to get 12.

$$\frac{33}{8}-\frac{12+5}{12}$$

Add 12 and 5 to get 17.

$$\frac{33}{8}-\frac{17}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{33}{8} and \frac{17}{12} to fractions with denominator 24.

$$\frac{99}{24}-\frac{34}{24}$$

Since \frac{99}{24} and \frac{34}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{99-34}{24}$$

Subtract 34 from 99 to get 65.

$$\frac{65}{24}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {3} \cdot 3} = 2\frac{17}{24} = 2.7083333333333335$$