How to convert 1007.725 as a fraction

Question: What is 1007.725 as a fraction?


Answer: 1007.725 as a fraction is 40309/40


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How to convert 1007.725 as a fraction?

Solution:1007.725 as a fraction is 40309/40

Step 1:

The first step to converting 1007.725 to a fraction is to re-write 1007.725 in the form p/q where p and q are both positive integers. To start with, 1007.725 can be written as simply 1007.725/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1007.725, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1007.725/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1007.725/1 each by 1000:

1007725/10 / 1000/10 = 1007725 / 1000

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 1007.725 as a fraction:

40309/40 / 1

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