Question

If a number is divided by eleven, the solution is two-fifths. What is the number?

4 1/5

4 2/5

27 1/2

5/22

Answer 1

x / 11 = 2/5.....multiply both sides by 11, eliminating the 11 on the left side
x = 2/5 * 11
x = 22/5 or 4 2/5 <==

Answer 2

Option B is the correct answer.

Explanation:

Let the number be n.

We have if a number is divided by eleven, the solution is two-fifths.

That is

`(x)/(11)=(2)/(5)`

Solving we will get

`(x)/(11)* 11=(2)/(5)* 11\\\\x=(22)/(5)\\\\x=(20+2)/(5)=(20)/(5)+(2)/(5)=4+(2)/(5)\\\\x=4(2)/(5)`

Option B is the correct answer.