Solve 81/4-52/3

$$8 \frac { 1 } { 4 } - 5 \frac { 2 } { 3 }$$

Evaluate

$$\frac{31}{12}\approx 2.583333333$$

Solution Steps

Multiply 8 and 4 to get 32.

$$\frac{32+1}{4}-\frac{5\times 3+2}{3}$$

Add 32 and 1 to get 33.

$$\frac{33}{4}-\frac{5\times 3+2}{3}$$

Multiply 5 and 3 to get 15.

$$\frac{33}{4}-\frac{15+2}{3}$$

Add 15 and 2 to get 17.

$$\frac{33}{4}-\frac{17}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{33}{4} and \frac{17}{3} to fractions with denominator 12.

$$\frac{99}{12}-\frac{68}{12}$$

Since \frac{99}{12} and \frac{68}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{99-68}{12}$$

Subtract 68 from 99 to get 31.

$$\frac{31}{12}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 3} = 2\frac{7}{12} = 2.5833333333333335$$