How to convert 964.78415648961 as a fraction

Question: What is 964.78415648961 as a fraction?


Answer: 964.78415648961 as a fraction is 35697/37


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How to convert 964.78415648961 as a fraction?

Solution:964.78415648961 as a fraction is 35697/37

Step 1:

The first step to converting 964.78415648961 to a fraction is to re-write 964.78415648961 in the form p/q where p and q are both positive integers. To start with, 964.78415648961 can be written as simply 964.78415648961/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 964.78415648961, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 964.78415648961/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 964.78415648961/1 each by 100000000000:

96478415648961/10 / 100000000000/10 = 96478415648961 / 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 964.78415648961 as a fraction:

35697/37 / 1

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