How to convert 962.78336292524 as a fraction

Question: What is 962.78336292524 as a fraction?


Answer: 962.78336292524 as a fraction is 22144/23


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How to convert 962.78336292524 as a fraction?

Solution:962.78336292524 as a fraction is 22144/23

Step 1:

The first step to converting 962.78336292524 to a fraction is to re-write 962.78336292524 in the form p/q where p and q are both positive integers. To start with, 962.78336292524 can be written as simply 962.78336292524/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 962.78336292524, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 962.78336292524/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 962.78336292524/1 each by 100000000000:

96278336292524/10 / 100000000000/10 = 96278336292524 / 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 962.78336292524 as a fraction:

22144/23 / 1

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