How to convert 40.417322333262 as a fraction

Question: What is 40.417322333262 as a fraction?


Answer: 40.417322333262 as a fraction is 5133/127


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How to convert 40.417322333262 as a fraction?

Solution:40.417322333262 as a fraction is 5133/127

Step 1:

The first step to converting 40.417322333262 to a fraction is to re-write 40.417322333262 in the form p/q where p and q are both positive integers. To start with, 40.417322333262 can be written as simply 40.417322333262/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 40.417322333262, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 40.417322333262/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 40.417322333262/1 each by 1000000000000:

40417322333262/10 / 1000000000000/10 = 40417322333262 / 1000000000000

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 40.417322333262 as a fraction:

5133/127 / 1

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