How to convert 103.13765624999 as a fraction

Question: What is 103.13765624999 as a fraction?


Answer: 103.13765624999 as a fraction is 11242/109


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How to convert 103.13765624999 as a fraction?

Solution:103.13765624999 as a fraction is 11242/109

Step 1:

The first step to converting 103.13765624999 to a fraction is to re-write 103.13765624999 in the form p/q where p and q are both positive integers. To start with, 103.13765624999 can be written as simply 103.13765624999/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 103.13765624999, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 103.13765624999/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 103.13765624999/1 each by 100000000000:

10313765624999/10 / 100000000000/10 = 10313765624999 / 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 103.13765624999 as a fraction:

11242/109 / 1

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