How to convert 0.409761 as a fraction

Question: What is 0.409761 as a fraction?


Answer: 0.409761 as a fraction is 806/1967


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How to convert 0.409761 as a fraction?

Solution:0.409761 as a fraction is 806/1967

Step 1:

The first step to converting 0.409761 to a fraction is to re-write 0.409761 in the form p/q where p and q are both positive integers. To start with, 0.409761 can be written as simply 0.409761/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.409761, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.409761/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 0.409761/1 each by 1000000:

0409761/10 / 1000000/10 = 0409761 / 1000000

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 0.409761 as a fraction:

806/1967 / 1

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