How to convert 14.23828157159 as a fraction

Question: What is 14.23828157159 as a fraction?


Answer: 14.23828157159 as a fraction is 3645/256


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How to convert 14.23828157159 as a fraction?

Solution:14.23828157159 as a fraction is 3645/256

Step 1:

The first step to converting 14.23828157159 to a fraction is to re-write 14.23828157159 in the form p/q where p and q are both positive integers. To start with, 14.23828157159 can be written as simply 14.23828157159/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 14.23828157159, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 14.23828157159/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 14.23828157159/1 each by 100000000000:

1423828157159/10 / 100000000000/10 = 1423828157159 / 100000000000

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 14.23828157159 as a fraction:

3645/256 / 1

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