How to convert 55.142222222224 as a fraction

Question: What is 55.142222222224 as a fraction?


Answer: 55.142222222224 as a fraction is 12407/225


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How to convert 55.142222222224 as a fraction?

Solution:55.142222222224 as a fraction is 12407/225

Step 1:

The first step to converting 55.142222222224 to a fraction is to re-write 55.142222222224 in the form p/q where p and q are both positive integers. To start with, 55.142222222224 can be written as simply 55.142222222224/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 55.142222222224, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 55.142222222224/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 55.142222222224/1 each by 1000000000000:

55142222222224/10 / 1000000000000/10 = 55142222222224 / 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 55.142222222224 as a fraction:

12407/225 / 1

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