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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?
Wiki User
∙ 10y ago
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 = 5
10 x 1/2 = 5
2 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.
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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 things
more than the number of things in the group.
Wiki User
∙ 10y ago
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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.
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 product of a mixed number between 4 and 5 and a fraction between 1 and 0 is always less than four?
No, it can be greater than 4.
When multiplying fraction by fraction the product will always be?
The only generalisation posible is that it will always be a rational number. The product can be positive or negative; it can be a fraction or an integer, it can be larger or smaller.
Is 0 greater than 9 in integers?
no never 9 is a positive so it is always greater
Is a positive improper fraction always a whole number?
No. It can be a number between two positive integers.
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.
What numberis an improper fraction always greater tahn?
An improper fraction is greater than or equal to 1.
Why does a unit fraction less than one is divided by a who number greater than 1 the quotient is always greater than the dividend?
Yes, but this is true of not just unit fractions but any positive number.
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 product of a mixed number between 4 and 5 and a fraction between 1 and 0 is always less than four?
No, it can be greater than 4.
What number is an improper fraction always greater than?
ONE
How do you tell which is greater a negative number or a positive number?
a positive number is always greater than a negative number
How do you decide which of two numbers is greater when one number is positive and one number is negative?
The positive number is always greater.
When multiplying fraction by fraction the product will always be?
The only generalisation posible is that it will always be a rational number. The product can be positive or negative; it can be a fraction or an integer, it can be larger or smaller.
Are improper fractions always greater than 1?
Yes. That's the definition of an improper fraction. If it's not greater than ' 1 ', then it isn't an improper fraction.
What happens when you multiply positive by a number greater than one?
A positive number is a number greater than zero. Therefore: 5 x 2 = 10 is one example.
