Question

Mr. Corbin measures the lengths of three branches. The first branch

is 2/3 foot long. The second branch is 2/2 foot long. The third branch is 2/8
foot long. Which list orders the fractions from greatest to least? *

Answer 1

2nd branch > 1st branch > 3rd branch

or

`(2)/(2) > (2)/(3) > (2)/(8)`

Explanation:

Length of First branch =
`(2)/(3)` foot

Length of second branch =
`(2)/(2)` foot

Length of third branch =
`(2)/(8)` foot

Let us convert the fractions in decimal forms:

`1.\ (2)/(3) = 0.67`

`2. (2)/(2) = 1`

`3.\ (2)/(8) = (1)/(4)=0.25`

It can be clearly seen that 1 is the largest value among the three values.

So, 2nd branch is the largest.

Now, let us have a look at the values of first and third branches:

0.67 and 0.25.

Clearly, 0.67 is greater than 0.25.

So, the correct order is:

2nd branch > 1st branch > 3rd branch

OR

We can use other method to see it.

Here, all the 3 fractions have same numerator.

So, denominator can help us decide the which fraction has a large value.

If numerator is same, the larger denominator will have smaller fractions.

The denominators are 2, 3 and 8.

8 > 3 > 2

So, the answer is

2nd branch > 1st branch > 3rd branch

or

`(2)/(2) > (2)/(3) > (2)/(8)`