Ratio is defined as a relationship between two quantities and expressed as the quotient of one divided by the other.
The ratio is, p : q : r = 2 : 12 : 13
Given that, p : q = 1/3 : 2
It means that, [tex]\frac{p}{q}=\frac{\frac{1}{3} }{2}=\frac{1}{6}[/tex]
Multiplying numerator and denominator by a same number , ratio will never change.
So, multiplying numerator and denominator by 2.
We get, [tex]\frac{p}{q}=\frac{1*2}{6*2}=\frac{2}{12}[/tex]
And given that [tex]p : r = 1/2 : 3/4[/tex]
It means that, [tex]\frac{p}{r}=\frac{1}{2}*\frac{4}{3}=\frac{2}{3}[/tex]
Now, observing [tex]\frac{p}{q}=\frac{1*2}{6*2}=\frac{2}{12}[/tex] and [tex]\frac{p}{r}=\frac{1}{2}*\frac{4}{3}=\frac{2}{3}[/tex]
Since, Value corresponding p is same.
Thus, required ratio is, p : q : r = 2 : 12 : 13
Learn more:
https://brainly.com/question/24796902
