How to convert 55.166142649959 as a fraction

Question: What is 55.166142649959 as a fraction?


Answer: 55.166142649959 as a fraction is 17267/313


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How to convert 55.166142649959 as a fraction?

Solution:55.166142649959 as a fraction is 17267/313

Step 1:

The first step to converting 55.166142649959 to a fraction is to re-write 55.166142649959 in the form p/q where p and q are both positive integers. To start with, 55.166142649959 can be written as simply 55.166142649959/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 55.166142649959, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 55.166142649959/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 55.166142649959/1 each by 1000000000000:

55166142649959/10 / 1000000000000/10 = 55166142649959 / 1000000000000

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 55.166142649959 as a fraction:

17267/313 / 1

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