How to convert 424.9741 as a fraction

Question: What is 424.9741 as a fraction?


Answer: 424.9741 as a fraction is 16149/38


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How to convert 424.9741 as a fraction?

Solution:424.9741 as a fraction is 16149/38

Step 1:

The first step to converting 424.9741 to a fraction is to re-write 424.9741 in the form p/q where p and q are both positive integers. To start with, 424.9741 can be written as simply 424.9741/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 424.9741, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 424.9741/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 424.9741/1 each by 10000:

4249741/10 / 10000/10 = 4249741 / 10000

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 424.9741 as a fraction:

16149/38 / 1

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