How to convert 422.782813497 as a fraction

Question: What is 422.782813497 as a fraction?


Answer: 422.782813497 as a fraction is 9724/23


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How to convert 422.782813497 as a fraction?

Solution:422.782813497 as a fraction is 9724/23

Step 1:

The first step to converting 422.782813497 to a fraction is to re-write 422.782813497 in the form p/q where p and q are both positive integers. To start with, 422.782813497 can be written as simply 422.782813497/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 422.782813497, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 422.782813497/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 422.782813497/1 each by 1000000000:

422782813497/10 / 1000000000/10 = 422782813497 / 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 422.782813497 as a fraction:

9724/23 / 1

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