How to convert 41.988281249738 as a fraction

Question: What is 41.988281249738 as a fraction?


Answer: 41.988281249738 as a fraction is 10749/256


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How to convert 41.988281249738 as a fraction?

Solution:41.988281249738 as a fraction is 10749/256

Step 1:

The first step to converting 41.988281249738 to a fraction is to re-write 41.988281249738 in the form p/q where p and q are both positive integers. To start with, 41.988281249738 can be written as simply 41.988281249738/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 41.988281249738, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 41.988281249738/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 41.988281249738/1 each by 1000000000000:

41988281249738/10 / 1000000000000/10 = 41988281249738 / 1000000000000

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 41.988281249738 as a fraction:

10749/256 / 1

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