Hi!
Requirement: An 80meter long rope was cut into four pieces. The four pieces were distributed among Form One, Form Two, Form Three and Form Four students. In this distribution, Form One got 15 metres, Form Two got 20 metres, Form Three got 40 metres and the rest of the pieces was given to Form Four.
a) write the fraction of the piece of rope distributed into each class.
b) Which fraction is the largest of all the fractions?
c) Find the different between the largest fraction and the smallest fraction
Answer:
a) To write the fractions of the pieces of rope distributed into each class, we need to first determine the total length of the rope distributed, which is:
15 + 20 + 40 + x = 80
Where x is the length of the rope given to Form Four. Solving for x, we get:
x = 80 - 15 - 20 - 40 = 5
Therefore, Form Four got 5 meters of the rope. Now we can write the fractions as follows:
- Form One: 15/80 = 3/16
- Form Two: 20/80 = 1/4
- Form Three: 40/80 = 1/2
- Form Four: 5/80 = 1/16
b) To determine which fraction is the largest, we can compare the fractions using a common denominator. In this case, the common denominator is 16, so we can rewrite the fractions as:
- Form One: 3/16
- Form Two: 4/16
- Form Three: 8/16
- Form Four: 1/1
From this, we can see that the fraction 8/16, which is equivalent to 1/2, is the largest.
c) The difference between the largest fraction and the smallest fraction is:
8/16 - 3/16 = 5/16
Therefore, the difference between the largest and smallest fractions is 5/16 of the total length of the rope, which is equivalent to:
(5/16) * 80 = 25 meters.
I hope I helped you!