expert
Expert with best answer

Vlad

97% Recommendation Rate

340 Meetings

4,305 Q&A Upvotes

USD 319 / Coaching

decimal in fraction

Anonymous A asked on Nov 08, 2018

Got stuck today in a case when I had to divide decimals. Not the best with math and haven't practiced this much.

Got presented with this = .024/.8

I know what you're thinking, this guy is dumb. I knew my answer would be some variation of 3 but didn't know where to put the decimal place.

Thanks

4 answers

  • Upvotes
  • Date ascending
  • Date descending
Best Answer
Vlad replied on Nov 09, 2018
McKinsey / Accenture / Got all BIG3 offers / More than 300 real MBB cases / Harvard Business School
Book a coaching with Vlad

97% Recommendation Rate

340 Meetings

4,305 Q&A Upvotes

USD 319 / Coaching

Hi,

Just put all the numbers as the powers of 10:

0.024/0.8 = 24 * 10^(-3) / 8*10^(-1)= 3*10^(-2)

Best!

Rachit replied on Nov 09, 2018

Whenevre you got stuck like this a simple solution is to mulitply with powers of 10.

0.24/0.8 = 24*10/8*100

we know 0.24 = 24/100

We also know 0.8= 8/10, 1/0.8=10/8

Multiply the power of 10 in numerator which is equal to number of decimals in denominator.

Multiply the power of 10 in denominator which is equal to number of decimals in numerator..

Alessandro
Expert
replied on Nov 08, 2018
Bain & Company | University of Cambridge | CV/Resume writing | 770 GMAT
Book a coaching with Alessandro

100% Recommendation Rate

60 Meetings

786 Q&A Upvotes

USD 139 / Coaching

hey there, two rules to remember with decimals and division:

1) if you move both decimals in the answer direction, the answer is the same. For example, 0.02/0.08=0.2/0.8=2/8=20/80

2) If you only move one of the decimals, you have to move it back at the end (e.g. if you moved the decimal right, you have to move it back left, or vice versa.

In your example, I would do:

0.024/0.8 =0.24/8

0.24/8 --> move decimal on left to the right by 2 units so 24/8 = 3

at the end, move the decimal back to the left by 2 units, so 3--> 0.03

so the answer is 0.03.

Hope that makes sense!

Vincenzo replied on Nov 08, 2018

In order to get non-decimal number, you have to move to right the decimal point until you get a non-decimal number. Basically you need to count how many digits you have at the right of the decimal point. Obviously must move the decimal point to the denominator as well.

Example:

.024 (3 digits at the right of the decimal point) * 1000 = 24 --> .8 * 1000 (same factor of numerator) = 8000

Similar questions
No similar questions available