How to convert 424.9914567 as a fraction

Question: What is 424.9914567 as a fraction?


Answer: 424.9914567 as a fraction is 49724/117


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How to convert 424.9914567 as a fraction?

Solution:424.9914567 as a fraction is 49724/117

Step 1:

The first step to converting 424.9914567 to a fraction is to re-write 424.9914567 in the form p/q where p and q are both positive integers. To start with, 424.9914567 can be written as simply 424.9914567/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 424.9914567, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 424.9914567/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 424.9914567/1 each by 10000000:

4249914567/10 / 10000000/10 = 4249914567 / 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 424.9914567 as a fraction:

49724/117 / 1

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