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Integers are whole numbers without decimals or fractions which are useful because calculations are easier to work out.
There is no sensible or useful simplification.
Diameter is useful in determining many measurements about a circle.
Scientific notation is useful in economics to compute very large or very small numbers.
It's easier to use the information if the fraction is simplified. For example, if you are measuring a piece of wood, it is more useful to know that it is six and a half inches wide, than to know that it is 13/2" wide, or that it is 52/8" wide, although both of those are equivalent to six and a half inches.