How to convert 55.8359 as a fraction

Question: What is 55.8359 as a fraction?


Answer: 55.8359 as a fraction is 7147/128


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How to convert 55.8359 as a fraction?

Solution:55.8359 as a fraction is 7147/128

Step 1:

The first step to converting 55.8359 to a fraction is to re-write 55.8359 in the form p/q where p and q are both positive integers. To start with, 55.8359 can be written as simply 55.8359/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 55.8359, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 55.8359/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 55.8359/1 each by 10000:

558359/10 / 10000/10 = 558359 / 10000

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 55.8359 as a fraction:

7147/128 / 1

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