Solve 101/4-52/5

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

Evaluate

$$\frac{97}{20}=4.85$$

Solution Steps

Multiply 10 and 4 to get 40.

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

Add 40 and 1 to get 41.

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

Multiply 5 and 5 to get 25.

$$\frac{41}{4}-\frac{25+2}{5}$$

Add 25 and 2 to get 27.

$$\frac{41}{4}-\frac{27}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{41}{4} and \frac{27}{5} to fractions with denominator 20.

$$\frac{205}{20}-\frac{108}{20}$$

Since \frac{205}{20} and \frac{108}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{205-108}{20}$$

Subtract 108 from 205 to get 97.

$$\frac{97}{20}$$

Factor

$$\frac{97}{2 ^ {2} \cdot 5} = 4\frac{17}{20} = 4.85$$