Question

Which arrangement shows 26/4 , 6.45, 6 2/5 , and 50/8 in order from least to greatest?

{A} 6 2/5 , 50/8 , 6.45, 26/4
{B} 50/8 , 6 2/5 , 26/4 , 6.45
{C} 26/4 , 50/8 , 6 2/5 , 6.45
{D} 50/8 , 6 2/5 , 6.45, 26/4

Answer 1

The answer is D: 50/8, 6 2/5, 6.45, 26/4

Answer 2

Option D)
`\displaystyle(50)/(8) < 6(2)/(5) < 6.45 < (26)/(4)`

Explanation:

We are given the following information in the question:

We are given a set of numbers:

`\displaystyle(26)/(4), 6.45, 6(2)/(5), (50)/(8)`

First, we write all the numbers in decimal form.

`\displaystyle(26)/(4) = 6.5\\\\6(2)/(5) = (32)/(5) = 6.4\\\\(50)/(8) = 6.25`

Hence, the given numbers are:

6.5, 6,45, 6.4, 6.25

Arranging in order of least to greatest:

`6.25 < 6.4 < 6.45 < 6.5`

Thus,

`\displaystyle(50)/(8) < 6(2)/(5) < 6.45 < (26)/(4)`

Option D is the correct option.