How to convert 253.564078125 as a fraction

Question: What is 253.564078125 as a fraction?


Answer: 253.564078125 as a fraction is 9889/39


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How to convert 253.564078125 as a fraction?

Solution:253.564078125 as a fraction is 9889/39

Step 1:

The first step to converting 253.564078125 to a fraction is to re-write 253.564078125 in the form p/q where p and q are both positive integers. To start with, 253.564078125 can be written as simply 253.564078125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 253.564078125, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 253.564078125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 253.564078125/1 each by 1000000000:

253564078125/10 / 1000000000/10 = 253564078125 / 1000000000

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 253.564078125 as a fraction:

9889/39 / 1

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