How to convert 65.742178449535 as a fraction

Question: What is 65.742178449535 as a fraction?


Answer: 65.742178449535 as a fraction is 8415/128


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How to convert 65.742178449535 as a fraction?

Solution:65.742178449535 as a fraction is 8415/128

Step 1:

The first step to converting 65.742178449535 to a fraction is to re-write 65.742178449535 in the form p/q where p and q are both positive integers. To start with, 65.742178449535 can be written as simply 65.742178449535/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 65.742178449535, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 65.742178449535/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 65.742178449535/1 each by 1000000000000:

65742178449535/10 / 1000000000000/10 = 65742178449535 / 1000000000000

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 65.742178449535 as a fraction:

8415/128 / 1

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