How to convert 71.35759235729 as a fraction

Question: What is 71.35759235729 as a fraction?


Answer: 71.35759235729 as a fraction is 10775/151


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How to convert 71.35759235729 as a fraction?

Solution:71.35759235729 as a fraction is 10775/151

Step 1:

The first step to converting 71.35759235729 to a fraction is to re-write 71.35759235729 in the form p/q where p and q are both positive integers. To start with, 71.35759235729 can be written as simply 71.35759235729/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 71.35759235729, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 71.35759235729/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 71.35759235729/1 each by 100000000000:

7135759235729/10 / 100000000000/10 = 7135759235729 / 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 71.35759235729 as a fraction:

10775/151 / 1

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