What are two ratios equivalent to 3:11
There are a few ways to do this
When doing a ratio, its a comparison of numbers which often is was multiplied and then compared
So since you can't find a common factor above one to make it smaller, you have to multiply instead.
You can multiply each side by 3 and it would be 9:33 and it would be equivalent to
3:11 if you divide each side by 3
Other examples:
Multiplying each side by 5⇒ 15: 55
Multiplying each side by 10⇒30:110
A ratio given as p : q can be written as a fraction → \(\frac{p}{q}\)
If we multiply the numerator and the denominator of the fraction \(\frac{p}{q}\) with 2 or 3, fraction remains unchanged.
\(\frac{p}{q} =\frac{2p}{2q}= \frac{3p}{3q}\)
Following the same rule, ratio given as 3 : 11 can be written as,
\(\frac{3}{11}= \frac{3\times 2}{11\times 2}= \frac{3\times 3}{11\times 3}\)
\(\frac{3}{11}= \frac{6}{22}= \frac{9}{33}\)
Therefore. equivalent ratios to \(3:11\) will be \(6:22\) and \(9:33\).
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