How to convert 949.78349804755 as a fraction

Question: What is 949.78349804755 as a fraction?


Answer: 949.78349804755 as a fraction is 21845/23


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How to convert 949.78349804755 as a fraction?

Solution:949.78349804755 as a fraction is 21845/23

Step 1:

The first step to converting 949.78349804755 to a fraction is to re-write 949.78349804755 in the form p/q where p and q are both positive integers. To start with, 949.78349804755 can be written as simply 949.78349804755/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 949.78349804755, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 949.78349804755/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 949.78349804755/1 each by 100000000000:

94978349804755/10 / 100000000000/10 = 94978349804755 / 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 949.78349804755 as a fraction:

21845/23 / 1

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