Answer:
[tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given length of purple line = [tex]\frac{1}{2}\ inch[/tex]
Given length of green line = [tex]\frac{1}{6}\ inch[/tex]
To find:
How much longer is the purple line than the green line ?
Solution:
To find the required length, we have to subtract the length of green line from the length of purple line.
i.e.
The required answer =
[tex]\frac{1}{2}-\frac{1}{6}\\\text{Taking LCM of 2 and 6, we get 6}\\\Rightarrow \dfrac{3-1}{6}\\\Rightarrow \dfrac{2}{6}\\\Rightarrow \bold{\dfrac{1}{3}}[/tex]
Therefore, the answer is:
Purple line is [tex]\frac{1}{3}[/tex] of an inch longer than the green line.