How to convert 11534.765728422 as a fraction

Question: What is 11534.765728422 as a fraction?


Answer: 11534.765728422 as a fraction is 149952/13


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How to convert 11534.765728422 as a fraction?

Solution:11534.765728422 as a fraction is 149952/13

Step 1:

The first step to converting 11534.765728422 to a fraction is to re-write 11534.765728422 in the form p/q where p and q are both positive integers. To start with, 11534.765728422 can be written as simply 11534.765728422/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 11534.765728422, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 11534.765728422/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 11534.765728422/1 each by 1000000000:

11534765728422/10 / 1000000000/10 = 11534765728422 / 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 11534.765728422 as a fraction:

149952/13 / 1

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