How to convert 356.14142542527 as a fraction

Question: What is 356.14142542527 as a fraction?


Answer: 356.14142542527 as a fraction is 35258/99


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How to convert 356.14142542527 as a fraction?

Solution:356.14142542527 as a fraction is 35258/99

Step 1:

The first step to converting 356.14142542527 to a fraction is to re-write 356.14142542527 in the form p/q where p and q are both positive integers. To start with, 356.14142542527 can be written as simply 356.14142542527/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 356.14142542527, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 356.14142542527/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 356.14142542527/1 each by 100000000000:

35614142542527/10 / 100000000000/10 = 35614142542527 / 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 356.14142542527 as a fraction:

35258/99 / 1

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