How to convert 2.228515625 as a fraction

What is 2.228515625 as a fraction?


Solution: 2.228515625 as a fraction is 1141/512


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How to convert 2.228515625 as a fraction?

Solution:2.228515625 as a fraction is 1141/512

Step 1:

The first step to converting 2.228515625 to a fraction is to re-write 2.228515625 in the form p/q where p and q are both positive integers. To start with, 2.228515625 can be written as simply 2.228515625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 2.228515625, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.228515625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 2.228515625/1 each by 1000000000:

2228515625/10 / 1000000000/10 = 2228515625 / 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 2.228515625 as a fraction:

1141/512 / 1

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