How to convert 498.12909 as a fraction

Question: What is 498.12909 as a fraction?


Answer: 498.12909 as a fraction is 15442/31


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How to convert 498.12909 as a fraction?

Solution:498.12909 as a fraction is 15442/31

Step 1:

The first step to converting 498.12909 to a fraction is to re-write 498.12909 in the form p/q where p and q are both positive integers. To start with, 498.12909 can be written as simply 498.12909/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 498.12909, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 498.12909/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 498.12909/1 each by 100000:

49812909/10 / 100000/10 = 49812909 / 100000

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 498.12909 as a fraction:

15442/31 / 1

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