783:9:0.75

asked by guest
on Nov 14, 2024 at 2:57 am



You asked:

Simplify the ratio: \(783 : 9 : 0.75\)

MathBot Answer:

\(1044 :12 :1\)

Begin by converting any decimals to fractions and finding the lowest common denominator (LCD) of the given numbers. \[\frac{783}{1}, \frac{9}{1}, \frac{3}{4} \]\[ \operatorname{lcm}(1, 1, 4) = 4\]

Then multiply each of the numbers by the LCD. This will convert all the numbers in the ratio to integers. \[3132 : 36 : 3\]

Then find the greatest common divisor (GCD) of the resulting numbers. \[\operatorname{gcd}(3132, 36, 3) = 3\]

And finally divide each number in the ratio by the GCD to get the simplified ratio. \[1044 : 12 : 1\]

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