How to convert 86.221281590975 as a fraction

Question: What is 86.221281590975 as a fraction?


Answer: 86.221281590975 as a fraction is 9743/113


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How to convert 86.221281590975 as a fraction?

Solution:86.221281590975 as a fraction is 9743/113

Step 1:

The first step to converting 86.221281590975 to a fraction is to re-write 86.221281590975 in the form p/q where p and q are both positive integers. To start with, 86.221281590975 can be written as simply 86.221281590975/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 86.221281590975, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 86.221281590975/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 86.221281590975/1 each by 1000000000000:

86221281590975/10 / 1000000000000/10 = 86221281590975 / 1000000000000

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 86.221281590975 as a fraction:

9743/113 / 1

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