Michelle drew a purple line that was 1/2 of an inch long then she drew a green line that was 1/6 of an inch long how much longer what is the purple line than the green line

Respuesta :

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.