How to convert 131.45412870102 as a fraction

Question: What is 131.45412870102 as a fraction?


Answer: 131.45412870102 as a fraction is 28657/218


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How to convert 131.45412870102 as a fraction?

Solution:131.45412870102 as a fraction is 28657/218

Step 1:

The first step to converting 131.45412870102 to a fraction is to re-write 131.45412870102 in the form p/q where p and q are both positive integers. To start with, 131.45412870102 can be written as simply 131.45412870102/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 131.45412870102, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 131.45412870102/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 131.45412870102/1 each by 100000000000:

13145412870102/10 / 100000000000/10 = 13145412870102 / 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 131.45412870102 as a fraction:

28657/218 / 1

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