How to convert 174.35943424524 as a fraction

Question: What is 174.35943424524 as a fraction?


Answer: 174.35943424524 as a fraction is 11159/64


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How to convert 174.35943424524 as a fraction?

Solution:174.35943424524 as a fraction is 11159/64

Step 1:

The first step to converting 174.35943424524 to a fraction is to re-write 174.35943424524 in the form p/q where p and q are both positive integers. To start with, 174.35943424524 can be written as simply 174.35943424524/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 174.35943424524, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 174.35943424524/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 174.35943424524/1 each by 100000000000:

17435943424524/10 / 100000000000/10 = 17435943424524 / 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 174.35943424524 as a fraction:

11159/64 / 1

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