How to convert 564.7888 as a fraction

Question: What is 564.7888 as a fraction?


Answer: 564.7888 as a fraction is 40100/71


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How to convert 564.7888 as a fraction?

Solution:564.7888 as a fraction is 40100/71

Step 1:

The first step to converting 564.7888 to a fraction is to re-write 564.7888 in the form p/q where p and q are both positive integers. To start with, 564.7888 can be written as simply 564.7888/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 564.7888, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 564.7888/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 564.7888/1 each by 10000:

5647888/10 / 10000/10 = 5647888 / 10000

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 564.7888 as a fraction:

40100/71 / 1

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