How to convert 144.7728489967 as a fraction

Question: What is 144.7728489967 as a fraction?


Answer: 144.7728489967 as a fraction is 3185/22


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How to convert 144.7728489967 as a fraction?

Solution:144.7728489967 as a fraction is 3185/22

Step 1:

The first step to converting 144.7728489967 to a fraction is to re-write 144.7728489967 in the form p/q where p and q are both positive integers. To start with, 144.7728489967 can be written as simply 144.7728489967/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 144.7728489967, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 144.7728489967/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 144.7728489967/1 each by 10000000000:

1447728489967/10 / 10000000000/10 = 1447728489967 / 10000000000

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 144.7728489967 as a fraction:

3185/22 / 1

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