How to convert 126.8589140625 as a fraction

Question: What is 126.8589140625 as a fraction?


Answer: 126.8589140625 as a fraction is 9895/78


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How to convert 126.8589140625 as a fraction?

Solution:126.8589140625 as a fraction is 9895/78

Step 1:

The first step to converting 126.8589140625 to a fraction is to re-write 126.8589140625 in the form p/q where p and q are both positive integers. To start with, 126.8589140625 can be written as simply 126.8589140625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 126.8589140625, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 126.8589140625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 126.8589140625/1 each by 10000000000:

1268589140625/10 / 10000000000/10 = 1268589140625 / 10000000000

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 126.8589140625 as a fraction:

9895/78 / 1

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