How to convert 740.78124999997 as a fraction

Question: What is 740.78124999997 as a fraction?


Answer: 740.78124999997 as a fraction is 23705/32


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How to convert 740.78124999997 as a fraction?

Solution:740.78124999997 as a fraction is 23705/32

Step 1:

The first step to converting 740.78124999997 to a fraction is to re-write 740.78124999997 in the form p/q where p and q are both positive integers. To start with, 740.78124999997 can be written as simply 740.78124999997/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 740.78124999997, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 740.78124999997/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 740.78124999997/1 each by 100000000000:

74078124999997/10 / 100000000000/10 = 74078124999997 / 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 740.78124999997 as a fraction:

23705/32 / 1

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