How to convert 981.69708984375 as a fraction

Question: What is 981.69708984375 as a fraction?


Answer: 981.69708984375 as a fraction is 32396/33


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How to convert 981.69708984375 as a fraction?

Solution:981.69708984375 as a fraction is 32396/33

Step 1:

The first step to converting 981.69708984375 to a fraction is to re-write 981.69708984375 in the form p/q where p and q are both positive integers. To start with, 981.69708984375 can be written as simply 981.69708984375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 981.69708984375, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 981.69708984375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 981.69708984375/1 each by 100000000000:

98169708984375/10 / 100000000000/10 = 98169708984375 / 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 981.69708984375 as a fraction:

32396/33 / 1

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