simplify

0.21:7:6.3

asked by guest
on Sep 22, 2024 at 4:15 am



You asked:

Simplify the ratio: \(0.21 : 7 : 6.3\)

MathBot Answer:

\(3 :100 :90\)

Begin by converting any decimals to fractions and finding the lowest common denominator (LCD) of the given numbers. \[\frac{21}{100}, \frac{7}{1}, \frac{63}{10} \]\[ \operatorname{lcm}(100, 1, 10) = 100\]

Then multiply each of the numbers by the LCD. This will convert all the numbers in the ratio to integers. \[21 : 700 : 630\]

Then find the greatest common divisor (GCD) of the resulting numbers. \[\operatorname{gcd}(21, 700, 630) = 7\]

And finally divide each number in the ratio by the GCD to get the simplified ratio. \[3 : 100 : 90\]

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