How to convert 422.8778125 as a fraction

Question: What is 422.8778125 as a fraction?


Answer: 422.8778125 as a fraction is 17338/41


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How to convert 422.8778125 as a fraction?

Solution:422.8778125 as a fraction is 17338/41

Step 1:

The first step to converting 422.8778125 to a fraction is to re-write 422.8778125 in the form p/q where p and q are both positive integers. To start with, 422.8778125 can be written as simply 422.8778125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 422.8778125, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 422.8778125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 422.8778125/1 each by 10000000:

4228778125/10 / 10000000/10 = 4228778125 / 10000000

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 422.8778125 as a fraction:

17338/41 / 1

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