How to convert 947.78308835719 as a fraction

Question: What is 947.78308835719 as a fraction?


Answer: 947.78308835719 as a fraction is 21799/23


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How to convert 947.78308835719 as a fraction?

Solution:947.78308835719 as a fraction is 21799/23

Step 1:

The first step to converting 947.78308835719 to a fraction is to re-write 947.78308835719 in the form p/q where p and q are both positive integers. To start with, 947.78308835719 can be written as simply 947.78308835719/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 947.78308835719, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 947.78308835719/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 947.78308835719/1 each by 100000000000:

94778308835719/10 / 100000000000/10 = 94778308835719 / 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 947.78308835719 as a fraction:

21799/23 / 1

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