How to convert 1382.275940123 as a fraction

Question: What is 1382.275940123 as a fraction?


Answer: 1382.275940123 as a fraction is 40086/29


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How to convert 1382.275940123 as a fraction?

Solution:1382.275940123 as a fraction is 40086/29

Step 1:

The first step to converting 1382.275940123 to a fraction is to re-write 1382.275940123 in the form p/q where p and q are both positive integers. To start with, 1382.275940123 can be written as simply 1382.275940123/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1382.275940123, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1382.275940123/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1382.275940123/1 each by 1000000000:

1382275940123/10 / 1000000000/10 = 1382275940123 / 1000000000

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 1382.275940123 as a fraction:

40086/29 / 1

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