How to convert 920.78314697308 as a fraction

Question: What is 920.78314697308 as a fraction?


Answer: 920.78314697308 as a fraction is 21178/23


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How to convert 920.78314697308 as a fraction?

Solution:920.78314697308 as a fraction is 21178/23

Step 1:

The first step to converting 920.78314697308 to a fraction is to re-write 920.78314697308 in the form p/q where p and q are both positive integers. To start with, 920.78314697308 can be written as simply 920.78314697308/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 920.78314697308, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 920.78314697308/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 920.78314697308/1 each by 100000000000:

92078314697308/10 / 100000000000/10 = 92078314697308 / 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 920.78314697308 as a fraction:

21178/23 / 1

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