How to convert 461.87997142338 as a fraction

Question: What is 461.87997142338 as a fraction?


Answer: 461.87997142338 as a fraction is 11547/25


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How to convert 461.87997142338 as a fraction?

Solution:461.87997142338 as a fraction is 11547/25

Step 1:

The first step to converting 461.87997142338 to a fraction is to re-write 461.87997142338 in the form p/q where p and q are both positive integers. To start with, 461.87997142338 can be written as simply 461.87997142338/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 461.87997142338, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 461.87997142338/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 461.87997142338/1 each by 100000000000:

46187997142338/10 / 100000000000/10 = 46187997142338 / 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 461.87997142338 as a fraction:

11547/25 / 1

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