35.91 and 35.94

asked by guest
on Oct 20, 2024 at 2:48 pm



You asked:

Simplify the ratio: \(35.91 : 35.94\)

MathBot Answer:

\(1197 : 1198\), \(\frac{1197}{1198}\), \(99.92\%\)

Begin by converting any decimals to fractions and finding the lowest common denominator (LCD) of the given numbers. \[\frac{3591}{100}, \frac{1797}{50} \]\[ \operatorname{lcm}(100, 50) = 100\]

Then multiply each of the numbers by the LCD. This will convert all the numbers in the ratio to integers. \[3591 : 3594\]

Then find the greatest common divisor (GCD) of the resulting numbers. \[\operatorname{gcd}(3591, 3594) = 3\]

And finally divide each number in the ratio by the GCD to get the simplified ratio. \[1197 : 1198\]

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