How to convert 1564.5678640625 as a fraction

Question: What is 1564.5678640625 as a fraction?


Answer: 1564.5678640625 as a fraction is 57889/37


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How to convert 1564.5678640625 as a fraction?

Solution:1564.5678640625 as a fraction is 57889/37

Step 1:

The first step to converting 1564.5678640625 to a fraction is to re-write 1564.5678640625 in the form p/q where p and q are both positive integers. To start with, 1564.5678640625 can be written as simply 1564.5678640625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1564.5678640625, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1564.5678640625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1564.5678640625/1 each by 10000000000:

15645678640625/10 / 10000000000/10 = 15645678640625 / 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 1564.5678640625 as a fraction:

57889/37 / 1

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