How to convert 898.20164062524 as a fraction

Question: What is 898.20164062524 as a fraction?


Answer: 898.20164062524 as a fraction is 106886/119


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How to convert 898.20164062524 as a fraction?

Solution:898.20164062524 as a fraction is 106886/119

Step 1:

The first step to converting 898.20164062524 to a fraction is to re-write 898.20164062524 in the form p/q where p and q are both positive integers. To start with, 898.20164062524 can be written as simply 898.20164062524/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 898.20164062524, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 898.20164062524/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 898.20164062524/1 each by 100000000000:

89820164062524/10 / 100000000000/10 = 89820164062524 / 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 898.20164062524 as a fraction:

106886/119 / 1

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