How to convert 177.78876388533 as a fraction

Question: What is 177.78876388533 as a fraction?


Answer: 177.78876388533 as a fraction is 12623/71


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How to convert 177.78876388533 as a fraction?

Solution:177.78876388533 as a fraction is 12623/71

Step 1:

The first step to converting 177.78876388533 to a fraction is to re-write 177.78876388533 in the form p/q where p and q are both positive integers. To start with, 177.78876388533 can be written as simply 177.78876388533/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 177.78876388533, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 177.78876388533/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 177.78876388533/1 each by 100000000000:

17778876388533/10 / 100000000000/10 = 17778876388533 / 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 177.78876388533 as a fraction:

12623/71 / 1

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