Solve 101/4-52/3

$$10 \frac{ 1 }{ 4 } - 5 \frac { 2 } { 3 }$$

Evaluate

$$\frac{55}{12}\approx 4.583333333$$

Solution Steps

Multiply 10 and 4 to get 40.

$$\frac{40+1}{4}-\frac{5\times 3+2}{3}$$

Add 40 and 1 to get 41.

$$\frac{41}{4}-\frac{5\times 3+2}{3}$$

Multiply 5 and 3 to get 15.

$$\frac{41}{4}-\frac{15+2}{3}$$

Add 15 and 2 to get 17.

$$\frac{41}{4}-\frac{17}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{41}{4} and \frac{17}{3} to fractions with denominator 12.

$$\frac{123}{12}-\frac{68}{12}$$

Since \frac{123}{12} and \frac{68}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{123-68}{12}$$

Subtract 68 from 123 to get 55.

$$\frac{55}{12}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {2} \cdot 3} = 4\frac{7}{12} = 4.583333333333333$$