How to convert 101.004609375 as a fraction

Question: What is 101.004609375 as a fraction?


Answer: 101.004609375 as a fraction is 21817/216


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How to convert 101.004609375 as a fraction?

Solution:101.004609375 as a fraction is 21817/216

Step 1:

The first step to converting 101.004609375 to a fraction is to re-write 101.004609375 in the form p/q where p and q are both positive integers. To start with, 101.004609375 can be written as simply 101.004609375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 101.004609375, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 101.004609375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 101.004609375/1 each by 1000000000:

101004609375/10 / 1000000000/10 = 101004609375 / 1000000000

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 101.004609375 as a fraction:

21817/216 / 1

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