Question

What is the difference in the length between the shortest

Answer 1

1) Considering the group of the longest worms size is 1 and 1/2 inch and the shortest ones have the size of 3/4 of an inch.

2) Firstly, let's convert the mixed number to an improper fraction and then subtract.

`1(1)/(2)=((2\cdot1+1))/(2)=(3)/(2)`

We do this by conserving the denominator and multiplying it by the whole number and adding to the numerator:

To find the Least Common Multiple (LCM), we proceed this way:

We divide those numbers for a prime number, that divide both (2 and 4) and go on until we reach 1. Then we multiply the numbers on the right. ( 2 and 2)

3) Now let's subtract then. Since they have different denominators, then we must calculate the Least Common Multiple of both:

`\begin{gathered} (3)/(2)-(3)/(4) \\ ((4\colon2*3)-(4\colon4*3))/(4)= \\ (6-3)/(4)= \\ (3)/(4) \end{gathered}`

The LCM between 2,4 is 8. So the difference between the longest size (3/2 inches or 1 1/2 ) and the shortest 3/4 is equal to 3/4