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The fractional part is the remainder over the divisor.
A decimal number is like a mixed fraction: it has an integer part and a fractional part. If the fractional part is a repeating fraction then the whole number is represented by a repeating decimal.
An arc is a fraction of its circumference
As long as the fraction is not improper or mixed then yes, it is the same thing.
"Simplest form" refers to the proper fraction part of a mixed number. To simplify a fraction, find the GCF of the numerator and the denominator and divide them both by it. If the GCF is 1, the fraction is in its simplest form.