How to convert 476.9984375 as a fraction

Question: What is 476.9984375 as a fraction?


Answer: 476.9984375 as a fraction is 305279/640


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How to convert 476.9984375 as a fraction?

Solution:476.9984375 as a fraction is 305279/640

Step 1:

The first step to converting 476.9984375 to a fraction is to re-write 476.9984375 in the form p/q where p and q are both positive integers. To start with, 476.9984375 can be written as simply 476.9984375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 476.9984375, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 476.9984375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 476.9984375/1 each by 10000000:

4769984375/10 / 10000000/10 = 4769984375 / 10000000

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 476.9984375 as a fraction:

305279/640 / 1

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