How to convert 309.1562542341 as a fraction

Question: What is 309.1562542341 as a fraction?


Answer: 309.1562542341 as a fraction is 9893/32


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How to convert 309.1562542341 as a fraction?

Solution:309.1562542341 as a fraction is 9893/32

Step 1:

The first step to converting 309.1562542341 to a fraction is to re-write 309.1562542341 in the form p/q where p and q are both positive integers. To start with, 309.1562542341 can be written as simply 309.1562542341/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 309.1562542341, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 309.1562542341/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 309.1562542341/1 each by 10000000000:

3091562542341/10 / 10000000000/10 = 3091562542341 / 10000000000

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 309.1562542341 as a fraction:

9893/32 / 1

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