How to convert 949.47742187045 as a fraction

Question: What is 949.47742187045 as a fraction?


Answer: 949.47742187045 as a fraction is 21838/23


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How to convert 949.47742187045 as a fraction?

Solution:949.47742187045 as a fraction is 21838/23

Step 1:

The first step to converting 949.47742187045 to a fraction is to re-write 949.47742187045 in the form p/q where p and q are both positive integers. To start with, 949.47742187045 can be written as simply 949.47742187045/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 949.47742187045, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 949.47742187045/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 949.47742187045/1 each by 100000000000:

94947742187045/10 / 100000000000/10 = 94947742187045 / 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 949.47742187045 as a fraction:

21838/23 / 1

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