How to convert 285.78219 as a fraction

Question: What is 285.78219 as a fraction?


Answer: 285.78219 as a fraction is 28864/101


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How to convert 285.78219 as a fraction?

Solution:285.78219 as a fraction is 28864/101

Step 1:

The first step to converting 285.78219 to a fraction is to re-write 285.78219 in the form p/q where p and q are both positive integers. To start with, 285.78219 can be written as simply 285.78219/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 285.78219, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 285.78219/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 285.78219/1 each by 100000:

28578219/10 / 100000/10 = 28578219 / 100000

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 285.78219 as a fraction:

28864/101 / 1

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