How to convert 158.09945678696 as a fraction

Question: What is 158.09945678696 as a fraction?


Answer: 158.09945678696 as a fraction is 28616/181


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How to convert 158.09945678696 as a fraction?

Solution:158.09945678696 as a fraction is 28616/181

Step 1:

The first step to converting 158.09945678696 to a fraction is to re-write 158.09945678696 in the form p/q where p and q are both positive integers. To start with, 158.09945678696 can be written as simply 158.09945678696/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 158.09945678696, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 158.09945678696/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 158.09945678696/1 each by 100000000000:

15809945678696/10 / 100000000000/10 = 15809945678696 / 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 158.09945678696 as a fraction:

28616/181 / 1

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