How to convert 742.78142839567 as a fraction

Question: What is 742.78142839567 as a fraction?


Answer: 742.78142839567 as a fraction is 23769/32


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How to convert 742.78142839567 as a fraction?

Solution:742.78142839567 as a fraction is 23769/32

Step 1:

The first step to converting 742.78142839567 to a fraction is to re-write 742.78142839567 in the form p/q where p and q are both positive integers. To start with, 742.78142839567 can be written as simply 742.78142839567/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 742.78142839567, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 742.78142839567/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 742.78142839567/1 each by 100000000000:

74278142839567/10 / 100000000000/10 = 74278142839567 / 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 742.78142839567 as a fraction:

23769/32 / 1

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