How to convert 758.9731924 as a fraction

Question: What is 758.9731924 as a fraction?


Answer: 758.9731924 as a fraction is 28082/37


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How to convert 758.9731924 as a fraction?

Solution:758.9731924 as a fraction is 28082/37

Step 1:

The first step to converting 758.9731924 to a fraction is to re-write 758.9731924 in the form p/q where p and q are both positive integers. To start with, 758.9731924 can be written as simply 758.9731924/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 758.9731924, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 758.9731924/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 758.9731924/1 each by 10000000:

7589731924/10 / 10000000/10 = 7589731924 / 10000000

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 758.9731924 as a fraction:

28082/37 / 1

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