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

Respuesta :

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

Answer:

Option D) [tex]\displaystyle\frac{50}{8} < 6\frac{2}{5} < 6.45 < \frac{26}{4}[/tex]

Step-by-step explanation:

We are given the following information in the question:

We are given a set of numbers:

[tex]\displaystyle\frac{26}{4}, 6.45, 6\frac{2}{5}, \frac{50}{8}[/tex]

First, we write all the numbers in decimal form.

[tex]\displaystyle\frac{26}{4} = 6.5\\\\6\frac{2}{5} = \frac{32}{5} = 6.4\\\\\frac{50}{8} = 6.25[/tex]

Hence, the given numbers are:

6.5, 6,45, 6.4, 6.25

Arranging in order of least to greatest:

[tex]6.25 < 6.4 < 6.45 < 6.5[/tex]

Thus,

[tex]\displaystyle\frac{50}{8} < 6\frac{2}{5} < 6.45 < \frac{26}{4}[/tex]

Option D is the correct option.