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01 Jul 2025, 10:29
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I'm planning to make my own flashcards for fraction values converted to irrational numbers. To which decimal place should I go to for non-repeating fractions?
I've been searching for this information, because people seem to know exactly what decimal amount to convert a fraction to and they make use of that. For example, instantly recognizing 7/8 is 0.875 and using this to their advantage to solve the problem. Still, I haven't found good information on which fractions I should memorize even though my test prep service (TTP) is telling me it's useful to memorize them.
I just figured I would memorize values with denominators of 2-12, all the way up to 11/12 (so for 5 I would memorize 1/5, 2/5, 3/5, 4/5).
Not sure if this is excessive, however.
I've been searching for this information, because people seem to know exactly what decimal amount to convert a fraction to and they make use of that. For example, instantly recognizing 7/8 is 0.875 and using this to their advantage to solve the problem. Still, I haven't found good information on which fractions I should memorize even though my test prep service (TTP) is telling me it's useful to memorize them.
I just figured I would memorize values with denominators of 2-12, all the way up to 11/12 (so for 5 I would memorize 1/5, 2/5, 3/5, 4/5).
Not sure if this is excessive, however.
01 Jul 2025, 11:14
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Only basic fractions value are to be remembered.. 1/5 to 4/5 .. rest can be calcuated according to question
MyGMATbuddy
Expert
Joined: 27 Jun 2025
Last visit: 11 Aug 2025
Posts: 46
Given Kudos: 5
Location: India
Schools: IIMB EPGP'23 (A$)
GMAT 1: 730 Q50 V39
GPA: 9.82
Expert reply
01 Jul 2025, 22:41
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You don’t need to memorize too many—just the most common fractions that show up repeatedly in PS and DI questions. Here’s what I recommend:
Must-know (with decimals up to 2–3 places):
* 1/2 = 0.5
* 1/3 ≈ 0.333
* 2/3 ≈ 0.667
* 1/4 = 0.25
* 3/4 = 0.75
* 1/5 = 0.2
* 2/5 = 0.4
* 3/5 = 0.6
* 4/5 = 0.8
* 1/6 ≈ 0.167
* 5/6 ≈ 0.833
* 1/8 = 0.125
* 3/8 = 0.375
* 5/8 = 0.625
* 7/8 = 0.875
* 1/9 ≈ 0.111
* 2/9 ≈ 0.222, and so on
* 1/10 = 0.1
These pop up in percentages, rate problems, and IR/DI graphs. Once these are second nature, it’ll save time and reduce silly mistakes.
Pankaj Jindal | GMAT Classic 730 | IIM Bangalore | Helping working professionals
Success story: https://gmatclub.com/forum/how-i-scored ... l#p3588949
Must-know (with decimals up to 2–3 places):
* 1/2 = 0.5
* 1/3 ≈ 0.333
* 2/3 ≈ 0.667
* 1/4 = 0.25
* 3/4 = 0.75
* 1/5 = 0.2
* 2/5 = 0.4
* 3/5 = 0.6
* 4/5 = 0.8
* 1/6 ≈ 0.167
* 5/6 ≈ 0.833
* 1/8 = 0.125
* 3/8 = 0.375
* 5/8 = 0.625
* 7/8 = 0.875
* 1/9 ≈ 0.111
* 2/9 ≈ 0.222, and so on
* 1/10 = 0.1
These pop up in percentages, rate problems, and IR/DI graphs. Once these are second nature, it’ll save time and reduce silly mistakes.
Pankaj Jindal | GMAT Classic 730 | IIM Bangalore | Helping working professionals
Success story: https://gmatclub.com/forum/how-i-scored ... l#p3588949
14 Jul 2025, 19:50
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I would say that up to 12 is excessive! You only really need to memorize what I've highlighted in yellow, as the rest can be found quickly with a pattern!
Memorize /2, /3, and /4 (both under and over 1)
Notice the pattern for /9 and /10
9s are the numerator repeating
10s are moving the decimal place 1
You can use conversion for the /5s and most of the /6s and /8s
/5 can be quickly converted to /10 by doubling both, so no need to memorize...
Most of the /6s and /8s can be reduced to /3s or /4s first. And I've only ever seen you need 1/6, 1/8 and 3/8 so memorize those (and ignore the rest)
And then completely ignore the /7, /11, or any /12 that can't be reduced to something nicer (In 20 years I've never needed to know 1/12, 5/12, 7/12, or 11/12)
Hope this helps!
Whit
Memorize /2, /3, and /4 (both under and over 1)
| 1/2=0.5 | 1/3=0.333 | 1/4=0.25 |
| 3/2=1.5 | 2/3=0.667 | 2/4=0.5 |
| 4/3=1.333 | 3/4=0.75 | |
| 5/4=1.25 |
Notice the pattern for /9 and /10
| 1/9=0.111 | 1/10=0.1 |
| 2/9=0.222 | 2/10=0.2 |
| 3/9=0.333 | 3/10=0.3 |
| ... | ... |
10s are moving the decimal place 1
You can use conversion for the /5s and most of the /6s and /8s
/5 can be quickly converted to /10 by doubling both, so no need to memorize...
| 1/5=2/10 |
| 2/5=4/10 |
| 3/5=6/10 |
| ... |
Most of the /6s and /8s can be reduced to /3s or /4s first. And I've only ever seen you need 1/6, 1/8 and 3/8 so memorize those (and ignore the rest)
| 1/6=0.167 | 1/8=0.125 |
| 2/6=1/3 | 2/8=1/4 |
| 3/6=1/2 | 3/8=0.375 |
| 4/6=2/3 | 4/8=1/2 |
| 5/6=ignore | 5/8=ignore |
| 6/8=3/4 | |
| 7/8=ignore |
And then completely ignore the /7, /11, or any /12 that can't be reduced to something nicer (In 20 years I've never needed to know 1/12, 5/12, 7/12, or 11/12)
Hope this helps!
Whit
Tyler1
