How to convert 122.89919921874 as a fraction

Question: What is 122.89919921874 as a fraction?


Answer: 122.89919921874 as a fraction is 14625/119


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How to convert 122.89919921874 as a fraction?

Solution:122.89919921874 as a fraction is 14625/119

Step 1:

The first step to converting 122.89919921874 to a fraction is to re-write 122.89919921874 in the form p/q where p and q are both positive integers. To start with, 122.89919921874 can be written as simply 122.89919921874/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 122.89919921874, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 122.89919921874/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 122.89919921874/1 each by 100000000000:

12289919921874/10 / 100000000000/10 = 12289919921874 / 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 122.89919921874 as a fraction:

14625/119 / 1

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