Aptitude - Problems on H.C.F and L.C.M - Discussion

Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 24)
24.
Which of the following fraction is the largest ?
7
8
13
16
31
40
63
80
Answer: Option
Explanation:

L.C.M. of 8, 16, 40 and 80 = 80.

7 = 70 ;   13 = 65 ;   31 = 62
8 80 16 80 40 80

Since, 70 > 65 > 63 > 62 , so 7 > 13 > 63 > 31
80 80 80 80 8 16 80 40

So, 7 is the largest.
8

Discussion:
49 comments Page 4 of 5.

Sikha said:   1 decade ago
I don't understand how we are getting 7/8 = 70/80.

13/16=65/80.
31/40=62/80.

Please somebody explain me dis?

Arts ashokan said:   10 years ago
(7/8)*10 = 70/80;
(13/16)*5 = 65/80;
(31/40)*2 = 62/80;

Manik sharma said:   10 years ago
I don't understand how 7/8 = 70/80?

Pritam said:   10 years ago
How the LCM will be 80?

Tasik said:   10 years ago
@Manju.

It's not 60/9.

It's 63/9 = 7 (It also get 7).

Then which is largest?

Kanhaiya said:   9 years ago
How we get it?

Sarah said:   9 years ago
LCM of 8, 16, 40 and 80 is 80 then,

80/8 = 10.
80/16 = 5.
80/40 = 2.
80/80 = 1 then,

7/8 * 10/10 = 70/80.
13/16 * 5/5 = 65/80.
31/40 * 2/2 = 62/80.
63/80 * 1 = 63/80.

70/80 > 65/80 >63/80 > 62/80.

So 7/8 is largest.
(1)

Angilina jolie said:   9 years ago
Thank you so much @Sarah.

Naveen said:   9 years ago
You are correct @Sarah.

Vaibhav said:   8 years ago
Hello, guys.

The lcm is 80. So we have to make 80 as the base for all numbers. In this example, if we want to make base 80 for no 7/8 we have to multiply the N and D by 10. For 13/16 for base 80-multiply N and D by 5. For 31/40 for making base 80 multiply N and D by 2. And 4rth no already has base 80 so we don't need anything to do.
(2)


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