How to convert 306.78148332729 as a fraction

Question: What is 306.78148332729 as a fraction?


Answer: 306.78148332729 as a fraction is 9817/32


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How to convert 306.78148332729 as a fraction?

Solution:306.78148332729 as a fraction is 9817/32

Step 1:

The first step to converting 306.78148332729 to a fraction is to re-write 306.78148332729 in the form p/q where p and q are both positive integers. To start with, 306.78148332729 can be written as simply 306.78148332729/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 306.78148332729, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 306.78148332729/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 306.78148332729/1 each by 100000000000:

30678148332729/10 / 100000000000/10 = 30678148332729 / 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 306.78148332729 as a fraction:

9817/32 / 1

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