How to convert 262.78375 as a fraction

Question: What is 262.78375 as a fraction?


Answer: 262.78375 as a fraction is 9723/37


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How to convert 262.78375 as a fraction?

Solution:262.78375 as a fraction is 9723/37

Step 1:

The first step to converting 262.78375 to a fraction is to re-write 262.78375 in the form p/q where p and q are both positive integers. To start with, 262.78375 can be written as simply 262.78375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 262.78375, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 262.78375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 262.78375/1 each by 100000:

26278375/10 / 100000/10 = 26278375 / 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 262.78375 as a fraction:

9723/37 / 1

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