How to convert 752.1409 as a fraction

Question: What is 752.1409 as a fraction?


Answer: 752.1409 as a fraction is 53402/71


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How to convert 752.1409 as a fraction?

Solution:752.1409 as a fraction is 53402/71

Step 1:

The first step to converting 752.1409 to a fraction is to re-write 752.1409 in the form p/q where p and q are both positive integers. To start with, 752.1409 can be written as simply 752.1409/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 752.1409, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 752.1409/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 752.1409/1 each by 10000:

7521409/10 / 10000/10 = 7521409 / 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 752.1409 as a fraction:

53402/71 / 1

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