How to convert 11698.765714259 as a fraction

Question: What is 11698.765714259 as a fraction?


Answer: 11698.765714259 as a fraction is 152084/13


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How to convert 11698.765714259 as a fraction?

Solution:11698.765714259 as a fraction is 152084/13

Step 1:

The first step to converting 11698.765714259 to a fraction is to re-write 11698.765714259 in the form p/q where p and q are both positive integers. To start with, 11698.765714259 can be written as simply 11698.765714259/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 11698.765714259, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 11698.765714259/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 11698.765714259/1 each by 1000000000:

11698765714259/10 / 1000000000/10 = 11698765714259 / 1000000000

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 11698.765714259 as a fraction:

152084/13 / 1

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