How to convert 11520.154233466 as a fraction

Question: What is 11520.154233466 as a fraction?


Answer: 11520.154233466 as a fraction is 149762/13


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How to convert 11520.154233466 as a fraction?

Solution:11520.154233466 as a fraction is 149762/13

Step 1:

The first step to converting 11520.154233466 to a fraction is to re-write 11520.154233466 in the form p/q where p and q are both positive integers. To start with, 11520.154233466 can be written as simply 11520.154233466/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 11520.154233466, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 11520.154233466/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 11520.154233466/1 each by 1000000000:

11520154233466/10 / 1000000000/10 = 11520154233466 / 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 11520.154233466 as a fraction:

149762/13 / 1

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