5

# Best way to convert large fractions to decimals

E.g. I got stuck on how to do 11/275 during a case

What is the best trick for something like this and many others

Are there any recourses to practice large fractions?

E.g. I got stuck on how to do 11/275 during a case

What is the best trick for something like this and many others

Are there any recourses to practice large fractions?

• Date ascending
• Date descending

The best way to do is to break into simpler numbers wherever (numerator or denominator) large number exists.

E.g. 11/275

Step 1: 275 is the number you want to break --> 25 * 11 = 275

Step 2. Put it in fraction. Now, your equation becomes --> 11/ (25*11)

Step 3. Solve the new equation into simpler form --> 1 / 25

Step 4. Convert 1 / 25 into fraction (1 / 25) * (100 / 100) = 0.04, only if you cant do from Step 3 directly

The best way to do is to break into simpler numbers wherever (numerator or denominator) large number exists.

E.g. 11/275

Step 1: 275 is the number you want to break --> 25 * 11 = 275

Step 2. Put it in fraction. Now, your equation becomes --> 11/ (25*11)

Step 3. Solve the new equation into simpler form --> 1 / 25

Step 4. Convert 1 / 25 into fraction (1 / 25) * (100 / 100) = 0.04, only if you cant do from Step 3 directly

Hi Anonymous,

assuming you can approximate numbers, in this case you can find what is a relatively small percentage (eg 1%) and see how the number you have to calculate compares to that.

In this case, 1% of 275 is 2.75, which means 2% is 5.5. At this stage, you would probably notice that 11 is therefore exactly 4%.

Best,

Francesco

Hi Anonymous,

assuming you can approximate numbers, in this case you can find what is a relatively small percentage (eg 1%) and see how the number you have to calculate compares to that.

In this case, 1% of 275 is 2.75, which means 2% is 5.5. At this stage, you would probably notice that 11 is therefore exactly 4%.

Best,

Francesco

Hi,

You should approximate it:

50% of 275 = 135

110 is roughly 40%, thus 11 is 4%

Best

Hi,

You should approximate it:

50% of 275 = 135

110 is roughly 40%, thus 11 is 4%

Best

Hi,
here you can find a detailed approach to solve it in a quick approximated way and in an accurate way: https://www.youtube.com/watch?v=do_IbHId2Os

I recommend you to take a look at the channel, I really appreciate their video on fast math.

Best,
Anto

Hi,
here you can find a detailed approach to solve it in a quick approximated way and in an accurate way: https://www.youtube.com/watch?v=do_IbHId2Os

I recommend you to take a look at the channel, I really appreciate their video on fast math.

Best,
Anto

## Related BootCamp article(s)

### How to Read Charts and Data in Case Interviews

We explain and give tips on how to understand and analyze graphs, charts and data presented by interviewer to candidates in case interviews.

Quiz

### Guide to Improving Speed in Written Tests such as the PST

Follow these instructions to significantly improve your performance and speed in solving problem solving tests used at McKinsey, BCG and Bain.

### Fast Math: How to Master Mental Math

Apply these tips and tricks for outstanding mental math shortcuts to impress your interviewer in your next case interview.

### Why Math matters

Your math skills will be tested in each and every consulting interview. So you better brush up mental math skills to succeed.

Quiz