How to convert 407.9165625 as a fraction

Question: What is 407.9165625 as a fraction?


Answer: 407.9165625 as a fraction is 4895/12


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How to convert 407.9165625 as a fraction?

Solution:407.9165625 as a fraction is 4895/12

Step 1:

The first step to converting 407.9165625 to a fraction is to re-write 407.9165625 in the form p/q where p and q are both positive integers. To start with, 407.9165625 can be written as simply 407.9165625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 407.9165625, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 407.9165625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 407.9165625/1 each by 10000000:

4079165625/10 / 10000000/10 = 4079165625 / 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 407.9165625 as a fraction:

4895/12 / 1

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