How to convert 424.42178335314 as a fraction

Question: What is 424.42178335314 as a fraction?


Answer: 424.42178335314 as a fraction is 27163/64


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How to convert 424.42178335314 as a fraction?

Solution:424.42178335314 as a fraction is 27163/64

Step 1:

The first step to converting 424.42178335314 to a fraction is to re-write 424.42178335314 in the form p/q where p and q are both positive integers. To start with, 424.42178335314 can be written as simply 424.42178335314/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 424.42178335314, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 424.42178335314/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 424.42178335314/1 each by 100000000000:

42442178335314/10 / 100000000000/10 = 42442178335314 / 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 424.42178335314 as a fraction:

27163/64 / 1

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