How to convert 155.24220756421 as a fraction

Question: What is 155.24220756421 as a fraction?


Answer: 155.24220756421 as a fraction is 19871/128


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How to convert 155.24220756421 as a fraction?

Solution:155.24220756421 as a fraction is 19871/128

Step 1:

The first step to converting 155.24220756421 to a fraction is to re-write 155.24220756421 in the form p/q where p and q are both positive integers. To start with, 155.24220756421 can be written as simply 155.24220756421/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 155.24220756421, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 155.24220756421/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 155.24220756421/1 each by 100000000000:

15524220756421/10 / 100000000000/10 = 15524220756421 / 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 155.24220756421 as a fraction:

19871/128 / 1

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