Solve 8.52-1.5/3600

$$8.52 - 1.5 / 3600$$

Evaluate

$$\frac{20447}{2400}\approx 8.519583333$$

Solution Steps

Expand \frac{1.5}{3600} by multiplying both numerator and the denominator by 10.

$$8.52-\frac{15}{36000}$$

Reduce the fraction \frac{15}{36000} to lowest terms by extracting and canceling out 15.

$$8.52-\frac{1}{2400}$$

Convert decimal number 8.52 to fraction \frac{852}{100}. Reduce the fraction \frac{852}{100} to lowest terms by extracting and canceling out 4.

$$\frac{213}{25}-\frac{1}{2400}$$

Least common multiple of 25 and 2400 is 2400. Convert \frac{213}{25} and \frac{1}{2400} to fractions with denominator 2400.

$$\frac{20448}{2400}-\frac{1}{2400}$$

Since \frac{20448}{2400} and \frac{1}{2400} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20448-1}{2400}$$

Subtract 1 from 20448 to get 20447.

$$\frac{20447}{2400}$$

Factor

$$\frac{7 \cdot 23 \cdot 127}{3 \cdot 2 ^ {5} \cdot 5 ^ {2}} = 8\frac{1247}{2400} = 8.519583333333333$$