How to convert 743.4909 as a fraction

Question: What is 743.4909 as a fraction?


Answer: 743.4909 as a fraction is 39405/53


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How to convert 743.4909 as a fraction?

Solution:743.4909 as a fraction is 39405/53

Step 1:

The first step to converting 743.4909 to a fraction is to re-write 743.4909 in the form p/q where p and q are both positive integers. To start with, 743.4909 can be written as simply 743.4909/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 743.4909, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 743.4909/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 743.4909/1 each by 10000:

7434909/10 / 10000/10 = 7434909 / 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 743.4909 as a fraction:

39405/53 / 1

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