How to convert 294.78242187498 as a fraction

Question: What is 294.78242187498 as a fraction?


Answer: 294.78242187498 as a fraction is 6780/23


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How to convert 294.78242187498 as a fraction?

Solution:294.78242187498 as a fraction is 6780/23

Step 1:

The first step to converting 294.78242187498 to a fraction is to re-write 294.78242187498 in the form p/q where p and q are both positive integers. To start with, 294.78242187498 can be written as simply 294.78242187498/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 294.78242187498, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 294.78242187498/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 294.78242187498/1 each by 100000000000:

29478242187498/10 / 100000000000/10 = 29478242187498 / 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 294.78242187498 as a fraction:

6780/23 / 1

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