How to convert 65.74218750003 as a fraction

Question: What is 65.74218750003 as a fraction?


Answer: 65.74218750003 as a fraction is 8415/128


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How to convert 65.74218750003 as a fraction?

Solution:65.74218750003 as a fraction is 8415/128

Step 1:

The first step to converting 65.74218750003 to a fraction is to re-write 65.74218750003 in the form p/q where p and q are both positive integers. To start with, 65.74218750003 can be written as simply 65.74218750003/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 65.74218750003, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 65.74218750003/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 65.74218750003/1 each by 100000000000:

6574218750003/10 / 100000000000/10 = 6574218750003 / 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 65.74218750003 as a fraction:

8415/128 / 1

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