How to convert 948.21771429743 as a fraction

Question: What is 948.21771429743 as a fraction?


Answer: 948.21771429743 as a fraction is 21809/23


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How to convert 948.21771429743 as a fraction?

Solution:948.21771429743 as a fraction is 21809/23

Step 1:

The first step to converting 948.21771429743 to a fraction is to re-write 948.21771429743 in the form p/q where p and q are both positive integers. To start with, 948.21771429743 can be written as simply 948.21771429743/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 948.21771429743, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 948.21771429743/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 948.21771429743/1 each by 100000000000:

94821771429743/10 / 100000000000/10 = 94821771429743 / 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 948.21771429743 as a fraction:

21809/23 / 1

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