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# The ratio of 72 to 60 is?

Last updated date: 14th Jul 2024
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Hint: The type of question which asks for a ratio of two values, means they are asking the simplest value of the ratio these values will have. For this we just need to divide them in the ratio and bring the simplest form, by dividing them both by Highest common factor.

\begin{align} & 72=1,2,4,6,8,9,12,18,36,72 \\ & 60=1,2,3,4,5,6,10,12,15,20,30,60 \\ \end{align}
$=2,4,6,12$
So for the ratio of 72 to 60 i.e.$\dfrac{72}{60}$ start dividing them by their common factors, we can divide them in any of the order, of common factor; for our ease let us divide them by first by 2, but you can divide them by 4, or by 6 or so on. But keep dividing till where we end with any of the common factors in the ratio.
So for $\dfrac{72}{60}=\dfrac{36}{30}$ when we will divide by their common factor 2,
So, $\dfrac{36}{30}=\dfrac{6}{5}$, so after dividing by 6 we get $\dfrac{6}{5}$, which now does not have any common factor. Other than 1, so the ratio of $\dfrac{72}{60}$ will be $\dfrac{6}{5}$
Hence the ratio of 72 to 60 is $\dfrac{6}{5}$