How to convert 166.9752 as a fraction

Question: What is 166.9752 as a fraction?


Answer: 166.9752 as a fraction is 20204/121


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How to convert 166.9752 as a fraction?

Solution:166.9752 as a fraction is 20204/121

Step 1:

The first step to converting 166.9752 to a fraction is to re-write 166.9752 in the form p/q where p and q are both positive integers. To start with, 166.9752 can be written as simply 166.9752/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 166.9752, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 166.9752/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 166.9752/1 each by 10000:

1669752/10 / 10000/10 = 1669752 / 10000

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 166.9752 as a fraction:

20204/121 / 1

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