9.478 : 21

asked by guest
on Nov 12, 2024 at 5:12 pm



You asked:

Simplify the ratio: \(9.478 : 21\)

MathBot Answer:

\(677 : 1500\), \(\frac{677}{1500}\), \(45.13\%\)

Begin by converting any decimals to fractions and finding the lowest common denominator (LCD) of the given numbers. \[\frac{4739}{500}, \frac{21}{1} \]\[ \operatorname{lcm}(500, 1) = 500\]

Then multiply each of the numbers by the LCD. This will convert all the numbers in the ratio to integers. \[4739 : 10500\]

Then find the greatest common divisor (GCD) of the resulting numbers. \[\operatorname{gcd}(4739, 10500) = 7\]

And finally divide each number in the ratio by the GCD to get the simplified ratio. \[677 : 1500\]

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