How to convert 296.40628284879 as a fraction

Question: What is 296.40628284879 as a fraction?


Answer: 296.40628284879 as a fraction is 9485/32


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How to convert 296.40628284879 as a fraction?

Solution:296.40628284879 as a fraction is 9485/32

Step 1:

The first step to converting 296.40628284879 to a fraction is to re-write 296.40628284879 in the form p/q where p and q are both positive integers. To start with, 296.40628284879 can be written as simply 296.40628284879/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 296.40628284879, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 296.40628284879/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 296.40628284879/1 each by 100000000000:

29640628284879/10 / 100000000000/10 = 29640628284879 / 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 296.40628284879 as a fraction:

9485/32 / 1

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