How to convert 102.14146575928 as a fraction

Question: What is 102.14146575928 as a fraction?


Answer: 102.14146575928 as a fraction is 10112/99


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How to convert 102.14146575928 as a fraction?

Solution:102.14146575928 as a fraction is 10112/99

Step 1:

The first step to converting 102.14146575928 to a fraction is to re-write 102.14146575928 in the form p/q where p and q are both positive integers. To start with, 102.14146575928 can be written as simply 102.14146575928/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 102.14146575928, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 102.14146575928/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 102.14146575928/1 each by 100000000000:

10214146575928/10 / 100000000000/10 = 10214146575928 / 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 102.14146575928 as a fraction:

10112/99 / 1

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