How to convert 11540.312311718 as a fraction

Question: What is 11540.312311718 as a fraction?


Answer: 11540.312311718 as a fraction is 150024/13


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How to convert 11540.312311718 as a fraction?

Solution:11540.312311718 as a fraction is 150024/13

Step 1:

The first step to converting 11540.312311718 to a fraction is to re-write 11540.312311718 in the form p/q where p and q are both positive integers. To start with, 11540.312311718 can be written as simply 11540.312311718/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 11540.312311718, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 11540.312311718/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 11540.312311718/1 each by 1000000000:

11540312311718/10 / 1000000000/10 = 11540312311718 / 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 11540.312311718 as a fraction:

150024/13 / 1

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