How to convert 305.52175781259 as a fraction

Question: What is 305.52175781259 as a fraction?


Answer: 305.52175781259 as a fraction is 7027/23


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How to convert 305.52175781259 as a fraction?

Solution:305.52175781259 as a fraction is 7027/23

Step 1:

The first step to converting 305.52175781259 to a fraction is to re-write 305.52175781259 in the form p/q where p and q are both positive integers. To start with, 305.52175781259 can be written as simply 305.52175781259/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 305.52175781259, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 305.52175781259/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 305.52175781259/1 each by 100000000000:

30552175781259/10 / 100000000000/10 = 30552175781259 / 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 305.52175781259 as a fraction:

7027/23 / 1

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