How to convert 0.07968749999742 as a fraction

Question: What is 0.07968749999742 as a fraction?


Answer: 0.07968749999742 as a fraction is 51/640


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How to convert 0.07968749999742 as a fraction?

Solution:0.07968749999742 as a fraction is 51/640

Step 1:

The first step to converting 0.07968749999742 to a fraction is to re-write 0.07968749999742 in the form p/q where p and q are both positive integers. To start with, 0.07968749999742 can be written as simply 0.07968749999742/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.07968749999742, which in this case is 14. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.07968749999742/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 0.07968749999742/1 each by 100000000000000:

007968749999742/10 / 100000000000000/10 = 007968749999742 / 100000000000000

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 0.07968749999742 as a fraction:

51/640 / 1

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