How to convert 766.6518749999 as a fraction

Question: What is 766.6518749999 as a fraction?


Answer: 766.6518749999 as a fraction is 17633/23


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How to convert 766.6518749999 as a fraction?

Solution:766.6518749999 as a fraction is 17633/23

Step 1:

The first step to converting 766.6518749999 to a fraction is to re-write 766.6518749999 in the form p/q where p and q are both positive integers. To start with, 766.6518749999 can be written as simply 766.6518749999/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 766.6518749999, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 766.6518749999/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 766.6518749999/1 each by 10000000000:

7666518749999/10 / 10000000000/10 = 7666518749999 / 10000000000

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 766.6518749999 as a fraction:

17633/23 / 1

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