How to convert 743.2509 as a fraction

Question: What is 743.2509 as a fraction?


Answer: 743.2509 as a fraction is 204394/275


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How to convert 743.2509 as a fraction?

Solution:743.2509 as a fraction is 204394/275

Step 1:

The first step to converting 743.2509 to a fraction is to re-write 743.2509 in the form p/q where p and q are both positive integers. To start with, 743.2509 can be written as simply 743.2509/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 743.2509, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 743.2509/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 743.2509/1 each by 10000:

7432509/10 / 10000/10 = 7432509 / 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 743.2509 as a fraction:

204394/275 / 1

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