How to convert 0.400954894569 as a fraction

Question: What is 0.400954894569 as a fraction?


Answer: 0.400954894569 as a fraction is 168/419


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How to convert 0.400954894569 as a fraction?

Solution:0.400954894569 as a fraction is 168/419

Step 1:

The first step to converting 0.400954894569 to a fraction is to re-write 0.400954894569 in the form p/q where p and q are both positive integers. To start with, 0.400954894569 can be written as simply 0.400954894569/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.400954894569, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.400954894569/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 0.400954894569/1 each by 1000000000000:

0400954894569/10 / 1000000000000/10 = 0400954894569 / 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 0.400954894569 as a fraction:

168/419 / 1

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