How to convert 174.67724575898 as a fraction

Question: What is 174.67724575898 as a fraction?


Answer: 174.67724575898 as a fraction is 5415/31


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How to convert 174.67724575898 as a fraction?

Solution:174.67724575898 as a fraction is 5415/31

Step 1:

The first step to converting 174.67724575898 to a fraction is to re-write 174.67724575898 in the form p/q where p and q are both positive integers. To start with, 174.67724575898 can be written as simply 174.67724575898/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 174.67724575898, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 174.67724575898/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 174.67724575898/1 each by 100000000000:

17467724575898/10 / 100000000000/10 = 17467724575898 / 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 174.67724575898 as a fraction:

5415/31 / 1

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