How to convert 74.206430165838 as a fraction

Question: What is 74.206430165838 as a fraction?


Answer: 74.206430165838 as a fraction is 11502/155


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How to convert 74.206430165838 as a fraction?

Solution:74.206430165838 as a fraction is 11502/155

Step 1:

The first step to converting 74.206430165838 to a fraction is to re-write 74.206430165838 in the form p/q where p and q are both positive integers. To start with, 74.206430165838 can be written as simply 74.206430165838/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 74.206430165838, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 74.206430165838/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 74.206430165838/1 each by 1000000000000:

74206430165838/10 / 1000000000000/10 = 74206430165838 / 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 74.206430165838 as a fraction:

11502/155 / 1

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