How to convert 1142.0208291875 as a fraction

Question: What is 1142.0208291875 as a fraction?


Answer: 1142.0208291875 as a fraction is 54817/48


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How to convert 1142.0208291875 as a fraction?

Solution:1142.0208291875 as a fraction is 54817/48

Step 1:

The first step to converting 1142.0208291875 to a fraction is to re-write 1142.0208291875 in the form p/q where p and q are both positive integers. To start with, 1142.0208291875 can be written as simply 1142.0208291875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1142.0208291875, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1142.0208291875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1142.0208291875/1 each by 10000000000:

11420208291875/10 / 10000000000/10 = 11420208291875 / 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 1142.0208291875 as a fraction:

54817/48 / 1

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