37.5 : 0.725

asked by guest
on Oct 06, 2024 at 11:20 pm



You asked:

Simplify the ratio: \(37.5 : 0.725\)

MathBot Answer:

\(1500 : 29\), \(\frac{1500}{29}\), \(5172.41\%\)

Begin by converting any decimals to fractions and finding the lowest common denominator (LCD) of the given numbers. \[\frac{75}{2}, \frac{29}{40} \]\[ \operatorname{lcm}(2, 40) = 40\]

Then multiply each of the numbers by the LCD. This will convert all the numbers in the ratio to integers. \[1500 : 29\]

Then find the greatest common divisor (GCD) of the resulting numbers. \[\operatorname{gcd}(1500, 29) = 1\]

And finally divide each number in the ratio by the GCD to get the simplified ratio. \[1500 : 29\]