How to convert 948.7824208498 as a fraction

Question: What is 948.7824208498 as a fraction?


Answer: 948.7824208498 as a fraction is 21822/23


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How to convert 948.7824208498 as a fraction?

Solution:948.7824208498 as a fraction is 21822/23

Step 1:

The first step to converting 948.7824208498 to a fraction is to re-write 948.7824208498 in the form p/q where p and q are both positive integers. To start with, 948.7824208498 can be written as simply 948.7824208498/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 948.7824208498, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 948.7824208498/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 948.7824208498/1 each by 10000000000:

9487824208498/10 / 10000000000/10 = 9487824208498 / 10000000000

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 948.7824208498 as a fraction:

21822/23 / 1

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