A positive fraction that is less than one is known as a proper fraction. In a proper fraction, the denominator is greater than the numerator. A reciprocal fraction would have a numerator greater than the denominator. Such a fraction is known as an improper fraction. Improper fractions are greater than one.
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The assertion is not true. For example, the fraction -1/2 is less than 1 but its reciprocal, -2, is not greater than 1. It is only true for POSITIVE fractions which are less than 1.
Its reciprocal is either less than 0 or greater than 1.
Fractions that are less than one are known as proper fractions. Their denominators are greater than their numerators. Their reciprocals would have numerators greater than their denominators, making them improper. Improper fractions are greater than one.
Yes
What is the question ? This is often referred to as an "improper" fraction. It can always be re-written as an integer (whole number) plus a proper fraction (a fraction less than one).
When you divide a number by two, you're cutting it in half. Another way to put it is multiplying by 1/2.10 divided by 2 = 510 x 1/2 = 52 and 1/2 are what is known as reciprocals. The definition of a reciprocal is a quantity related to another so that their product is one.Dividing by a number is the same as multiplying by its reciprocal..When you divide a number by a proper fraction (between 0 and 1) its reciprocal will be an improper fraction (greater than 1).When you divide a number by a fraction less than 1, it is the same as multiplying it by a number greater than 1. The answer will be greater than the original number.3 divided by 1/2 = 6 because 3 is half of 6.====================================Answer #2 (Perhaps a somewhat more intuitive answer):Because . . .-- The fraction is a piece of a whole thing.-- A piece of a whole thing can always go into a group of thingsmore than the number of things in the group.