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When is the reciprocal of a number greater than the number and when is it less than the number?
When a number is a fraction, the reciprocal will always be greater than the original number. When the original number is a whole number, the reciprocal will be a fraction, which is less than a whole number.
The reciprocal of a fraction less than 1 is always a fraction greater than 1. Why is this?
The above statement is not true!-3/4 is a fraction which is less than 1. Its reciprocal is -4/3 which is also less than 1, NOT greater.
Why in improper fraction the numerator is greater than denominator?
That is why it is called an improper fraction because a proper or a common fraction always has its numerator less than its denominator.
When multiplying fraction by fraction will the product be greater than or less than?
It is not possible to tell.
When you divide a mixed number by a fraction less than 1 will the quotient be greater or less than the whole number?
It will be greater.
When is the reciprocal of a number greater than the number and when is it less than the number?
When a number is a fraction, the reciprocal will always be greater than the original number. When the original number is a whole number, the reciprocal will be a fraction, which is less than a whole number.
The reciprocal of a fraction less than 1 is always a fraction greater than 1. Why is this?
The above statement is not true!-3/4 is a fraction which is less than 1. Its reciprocal is -4/3 which is also less than 1, NOT greater.
Why is the reciprocal of a fraction less than one always a fraction greater than one?
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.
If a fraction is less than 1 what do you know about its reciprocal?
Its reciprocal is either less than 0 or greater than 1.
Why is the recipical of A fraction less than one is always a fraction greater than one?
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.
Is the reciprocal of an integer always less than the integer?
No. In fact, the reciprocal of 0 is not defined.
The reciprocal of a fraction less than 1 is always a fraction greater than 1. Why is this?
The above statement is not true!-3/4 is a fraction which is less than 1. Its reciprocal is -4/3 which is also less than 1, NOT greater.
Why in improper fraction the numerator is greater than denominator?
That is why it is called an improper fraction because a proper or a common fraction always has its numerator less than its denominator.
Is the reciprocal of a number less than one greater than one?
Yes
Why is the reciprocal of a mixed number always less than the number 1?
A mixed number must have an integer part (and a fractional part). Consequently, a mixed number must be greater than one. The reciprocal of a number greater than one is less than one (and conversely) since the two, when multiplied together, make 1.
What is the answer of a Fraction that is greater than one?
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 positive number by a fraction that is between 0 and 1 why is the answer is always greater than the whole number?
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.
