How to convert 288.21625 as a fraction

Question: What is 288.21625 as a fraction?


Answer: 288.21625 as a fraction is 10664/37


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How to convert 288.21625 as a fraction?

Solution:288.21625 as a fraction is 10664/37

Step 1:

The first step to converting 288.21625 to a fraction is to re-write 288.21625 in the form p/q where p and q are both positive integers. To start with, 288.21625 can be written as simply 288.21625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 288.21625, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 288.21625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 288.21625/1 each by 100000:

28821625/10 / 100000/10 = 28821625 / 100000

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 288.21625 as a fraction:

10664/37 / 1

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