It can't be expressed as an improper fraction because it is less than 1 but as common fraction it is 1/4
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That's by the way "improper fraction" is defined. An improper fraction is a number greater than one, written as a single fraction.
125 is an integer, not a fraction - not even an improper fraction. However, if you must, it can be written as an improper fraction in the following form: 125 0/1.
2.75 written as an improper fraction in its simplest terms is 11/4.
No, it can be written as in improper fraction: 3/1
1.35 written as an improper fraction is 135/100 = 27/20