How to convert 169.35678924563 as a fraction

Question: What is 169.35678924563 as a fraction?


Answer: 169.35678924563 as a fraction is 33702/199


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How to convert 169.35678924563 as a fraction?

Solution:169.35678924563 as a fraction is 33702/199

Step 1:

The first step to converting 169.35678924563 to a fraction is to re-write 169.35678924563 in the form p/q where p and q are both positive integers. To start with, 169.35678924563 can be written as simply 169.35678924563/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 169.35678924563, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 169.35678924563/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 169.35678924563/1 each by 100000000000:

16935678924563/10 / 100000000000/10 = 16935678924563 / 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 169.35678924563 as a fraction:

33702/199 / 1

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