1 1/2: 2 1/4

asked by guest
on Oct 22, 2024 at 11:19 pm



You asked:

Simplify the ratio: \(1\frac{1}{2} : 2\frac{1}{4}\)

MathBot Answer:

\(2 : 3\), \(\frac{2}{3}\), \(66.67\%\)

Begin by converting any decimals to fractions and finding the lowest common denominator (LCD) of the given numbers. \[\frac{3}{2}, \frac{9}{4} \]\[ \operatorname{lcm}(2, 4) = 4\]

Then multiply each of the numbers by the LCD. This will convert all the numbers in the ratio to integers. \[6 : 9\]

Then find the greatest common divisor (GCD) of the resulting numbers. \[\operatorname{gcd}(6, 9) = 3\]

And finally divide each number in the ratio by the GCD to get the simplified ratio. \[2 : 3\]

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