How to convert 465.19159308742 as a fraction

Question: What is 465.19159308742 as a fraction?


Answer: 465.19159308742 as a fraction is 21864/47


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How to convert 465.19159308742 as a fraction?

Solution:465.19159308742 as a fraction is 21864/47

Step 1:

The first step to converting 465.19159308742 to a fraction is to re-write 465.19159308742 in the form p/q where p and q are both positive integers. To start with, 465.19159308742 can be written as simply 465.19159308742/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 465.19159308742, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 465.19159308742/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 465.19159308742/1 each by 100000000000:

46519159308742/10 / 100000000000/10 = 46519159308742 / 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 465.19159308742 as a fraction:

21864/47 / 1

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