How to convert 752.69814815953 as a fraction

Question: What is 752.69814815953 as a fraction?


Answer: 752.69814815953 as a fraction is 39893/53


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How to convert 752.69814815953 as a fraction?

Solution:752.69814815953 as a fraction is 39893/53

Step 1:

The first step to converting 752.69814815953 to a fraction is to re-write 752.69814815953 in the form p/q where p and q are both positive integers. To start with, 752.69814815953 can be written as simply 752.69814815953/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 752.69814815953, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 752.69814815953/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 752.69814815953/1 each by 100000000000:

75269814815953/10 / 100000000000/10 = 75269814815953 / 100000000000

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 752.69814815953 as a fraction:

39893/53 / 1

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