How to convert 211.42545114744 as a fraction

Question: What is 211.42545114744 as a fraction?


Answer: 211.42545114744 as a fraction is 9937/47


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How to convert 211.42545114744 as a fraction?

Solution:211.42545114744 as a fraction is 9937/47

Step 1:

The first step to converting 211.42545114744 to a fraction is to re-write 211.42545114744 in the form p/q where p and q are both positive integers. To start with, 211.42545114744 can be written as simply 211.42545114744/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 211.42545114744, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 211.42545114744/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 211.42545114744/1 each by 100000000000:

21142545114744/10 / 100000000000/10 = 21142545114744 / 100000000000

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 211.42545114744 as a fraction:

9937/47 / 1

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