How to convert 125.42249999987 as a fraction

Question: What is 125.42249999987 as a fraction?


Answer: 125.42249999987 as a fraction is 8905/71


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How to convert 125.42249999987 as a fraction?

Solution:125.42249999987 as a fraction is 8905/71

Step 1:

The first step to converting 125.42249999987 to a fraction is to re-write 125.42249999987 in the form p/q where p and q are both positive integers. To start with, 125.42249999987 can be written as simply 125.42249999987/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 125.42249999987, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 125.42249999987/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 125.42249999987/1 each by 100000000000:

12542249999987/10 / 100000000000/10 = 12542249999987 / 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 125.42249999987 as a fraction:

8905/71 / 1

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