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

Answer:

2nd branch > 1st branch > 3rd branch

or

$\dfrac{2}{2} > \dfrac{2}{3} > \dfrac{2}{8}$

Step-by-step explanation:

Length of First branch = $\frac{2}{3}$ foot

Length of second branch = $\frac{2}{2}$ foot

Length of third branch = $\frac{2}{8}$ foot

Let us convert the fractions in decimal forms:

$1.\ \dfrac{2}{3} = 0.67$

$2. \dfrac{2}{2} = 1$

$3.\ \dfrac{2}{8} = \dfrac{1}{4}=0.25$

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

$\dfrac{2}{2} > \dfrac{2}{3} > \dfrac{2}{8}$