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# How do you find the ratio of $x$ to $y$ if $2x=3y$?

Last updated date: 15th Sep 2024
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Hint:We explain the process to get ratio of two numbers $x$ and $y$. From the equation $2x=3y$, we try to describe the relation between the denominator and the numerator. We use the G.C.D of the denominator and the numerator to divide both of them. We get the simplified form as the G.C.D is 1.
Therefore, for the ratio of any two numbers $x$ and $y$, we can express it as $\dfrac{x}{y}$. Ratios work like fractions. The numbers become the numerator and denominator of the ratio.
For the fraction $\dfrac{x}{y}$, we first find the G.C.D of the denominator and the numerator. If it’s 1 then it’s already in its simplified form and if the G.C.D of the denominator and the numerator is any other number d then we need to divide the denominator and the numerator with d and get the simplified fraction form as $\dfrac{{}^{x}/{}_{d}}{{}^{y}/{}_{d}}$.
For the equation $2x=3y$, we get $\dfrac{x}{y}=\dfrac{3}{2}$.