How to convert 21.78906 as a fraction

Question: What is 21.78906 as a fraction?


Answer: 21.78906 as a fraction is 2789/128


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How to convert 21.78906 as a fraction?

Solution:21.78906 as a fraction is 2789/128

Step 1:

The first step to converting 21.78906 to a fraction is to re-write 21.78906 in the form p/q where p and q are both positive integers. To start with, 21.78906 can be written as simply 21.78906/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 21.78906, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 21.78906/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 21.78906/1 each by 100000:

2178906/10 / 100000/10 = 2178906 / 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 21.78906 as a fraction:

2789/128 / 1

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