Solve 1165/252-4.5

$$\frac{ 1165 }{ 252 } -4.5$$

Evaluate

$$\frac{31}{252}\approx 0.123015873$$

Solution Steps

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1165}{252}-\frac{9}{2}$$

Least common multiple of 252 and 2 is 252. Convert \frac{1165}{252} and \frac{9}{2} to fractions with denominator 252.

$$\frac{1165}{252}-\frac{1134}{252}$$

Since \frac{1165}{252} and \frac{1134}{252} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1165-1134}{252}$$

Subtract 1134 from 1165 to get 31.

$$\frac{31}{252}$$

Factor

$$\frac{31}{7 \cdot 2 ^ {2} \cdot 3 ^ {2}} = 0.12301587301587301$$