How to convert 778.74249999814 as a fraction

Question: What is 778.74249999814 as a fraction?


Answer: 778.74249999814 as a fraction is 24141/31


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How to convert 778.74249999814 as a fraction?

Solution:778.74249999814 as a fraction is 24141/31

Step 1:

The first step to converting 778.74249999814 to a fraction is to re-write 778.74249999814 in the form p/q where p and q are both positive integers. To start with, 778.74249999814 can be written as simply 778.74249999814/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 778.74249999814, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 778.74249999814/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 778.74249999814/1 each by 100000000000:

77874249999814/10 / 100000000000/10 = 77874249999814 / 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 778.74249999814 as a fraction:

24141/31 / 1

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