How to convert 981.82513415 as a fraction

Question: What is 981.82513415 as a fraction?


Answer: 981.82513415 as a fraction is 22582/23


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How to convert 981.82513415 as a fraction?

Solution:981.82513415 as a fraction is 22582/23

Step 1:

The first step to converting 981.82513415 to a fraction is to re-write 981.82513415 in the form p/q where p and q are both positive integers. To start with, 981.82513415 can be written as simply 981.82513415/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 981.82513415, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 981.82513415/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 981.82513415/1 each by 100000000:

98182513415/10 / 100000000/10 = 98182513415 / 100000000

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 981.82513415 as a fraction:

22582/23 / 1

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