How to convert 277.255 as a fraction

Question: What is 277.255 as a fraction?


Answer: 277.255 as a fraction is 14140/51


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How to convert 277.255 as a fraction?

Solution:277.255 as a fraction is 14140/51

Step 1:

The first step to converting 277.255 to a fraction is to re-write 277.255 in the form p/q where p and q are both positive integers. To start with, 277.255 can be written as simply 277.255/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 277.255, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 277.255/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 277.255/1 each by 1000:

277255/10 / 1000/10 = 277255 / 1000

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 277.255 as a fraction:

14140/51 / 1

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