The equivalent ratio of 9:3 is 12:4 which is option second.
To find the equivalent ratio, first, we have to convert the given fraction into the simplest fraction.
The given fraction is 9:3. Its simplest form will be 3:1 or 3/1
Now to find the equivalent ratio we will multiply the numerator and denominator of the simplest fraction by the same number to get the equivalent fraction.
Let us first multiply the numerator and denominator of the simplest fraction by 2, we will get,
(3*2)/(1*2) = 6/2 or 6:2
Then multiply by 3, we get
(3*3)/(1*3) = 9/3 or 9:3
Similarly, multiply by 4, 5, …..and so on , we get
(3*4)/(1*4) = 12/4 or 12:4
(3*5)/(1*5) = 15/5 or 15:5 ……. So on
Hence the equivalents ratios of 9:3 are 6:2, 12:4 and 15:5
According to the option given the second option is correct which is 12:4
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