How to convert 0.42749999999971 as a fraction

Question: What is 0.42749999999971 as a fraction?


Answer: 0.42749999999971 as a fraction is 171/400


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How to convert 0.42749999999971 as a fraction?

Solution:0.42749999999971 as a fraction is 171/400

Step 1:

The first step to converting 0.42749999999971 to a fraction is to re-write 0.42749999999971 in the form p/q where p and q are both positive integers. To start with, 0.42749999999971 can be written as simply 0.42749999999971/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.42749999999971, which in this case is 14. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.42749999999971/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 0.42749999999971/1 each by 100000000000000:

042749999999971/10 / 100000000000000/10 = 042749999999971 / 100000000000000

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 0.42749999999971 as a fraction:

171/400 / 1

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