Simply 1/1 cup
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A fraction whose value is one or more is called an improper fraction, or a mixed fraction, depending on how you write it. For example one-and-a-half can be written as 1 1/2 - this is a mixed fraction. If you write it as 3/2, it is called an improper fraction.
1/2
31/100
Not by itself. A cup of salt may be a fraction of the total amount of salt in the world, but just sitting there, a cup of salt is a cup of salt.
To write the number foruteen as a fraction you write: 14/1.