How to convert 745.2509 as a fraction

Question: What is 745.2509 as a fraction?


Answer: 745.2509 as a fraction is 204944/275


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How to convert 745.2509 as a fraction?

Solution:745.2509 as a fraction is 204944/275

Step 1:

The first step to converting 745.2509 to a fraction is to re-write 745.2509 in the form p/q where p and q are both positive integers. To start with, 745.2509 can be written as simply 745.2509/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 745.2509, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 745.2509/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 745.2509/1 each by 10000:

7452509/10 / 10000/10 = 7452509 / 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 745.2509 as a fraction:

204944/275 / 1

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