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When any number is multiplied by its reciprocal, the product is ' 1 '.
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∙ 13y ago
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What number can be multiplied by a fraction and get a result of 1?
The number that can be multiplied by a fraction to get a result of 1 is the reciprocal of the fraction. Apart from zero, all real numbers have reciprocals.
What is the product of two numbers that are reciprocals of one another explain why this is always the case?
A fraction multiplied by its reciprocal is always equal to one. This is because the reciprocal is an inversion of the fraction. The denominator of a fraction is the same number as the numerator of the reciprocal, and vice versa. The product of this is a fraction with the same numbers for the denominator and reciprocal, which is also known as an equivalent fraction. Equivalent fractions are always equal to one.
What happens when you multiply a fraction by its reciprocal?
You end up with 1.
What is a recprocal?
The reciprocal of a number is 1 divided by that number. A number multiplied by its reciprocal is equal to 1. In the case of a fraction, to get the reciprocal, simply exchange numerator and denominator. Thus, the reciprocal of 5/3 is 3/5.
What is the reciprocal of five over 4?
The reciprocal of a number is simply 1 divide by that number. A number, multiplied by its reciprocal, is equal to one.However, in the case of fractions, you can get the reciprocal simply by exchanging top and bottom. In this case, the reciprocal of 5/4 is 4/5. This works for proper and improper fractions; in the case of a mixed fraction, you have to convert that into an improper fraction first.
What number can be multiplied by a fraction and get a result of 1?
The number that can be multiplied by a fraction to get a result of 1 is the reciprocal of the fraction. Apart from zero, all real numbers have reciprocals.
What is a reciprcal to a fraction?
The reciprocal of a fraction is whatever can be multiplied by the original fraction so that the product is one. In practical terms, flip the fraction upside down. The reciprocal of 3/4 is 4/3.
ASK FOR the product of a fraction and reciprocal show working?
By the definition of "reciprocal", any fraction multiplied by its reciprocal is equal to 1. For example:2/3 x 3/2 = 6/6 = 1a/b x b/a = ab/ab = 1By the definition of "reciprocal", any fraction multiplied by its reciprocal is equal to 1. For example:2/3 x 3/2 = 6/6 = 1a/b x b/a = ab/ab = 1By the definition of "reciprocal", any fraction multiplied by its reciprocal is equal to 1. For example:2/3 x 3/2 = 6/6 = 1a/b x b/a = ab/ab = 1By the definition of "reciprocal", any fraction multiplied by its reciprocal is equal to 1. For example:2/3 x 3/2 = 6/6 = 1a/b x b/a = ab/ab = 1
What happens when you multiply a fraction by its reciprocal?
You end up with 1.
What is the product of two numbers that are reciprocals of one another explain why this is always the case?
A fraction multiplied by its reciprocal is always equal to one. This is because the reciprocal is an inversion of the fraction. The denominator of a fraction is the same number as the numerator of the reciprocal, and vice versa. The product of this is a fraction with the same numbers for the denominator and reciprocal, which is also known as an equivalent fraction. Equivalent fractions are always equal to one.
What happens to a mixed number when it is multiplied by a fraction?
The answer depends on the fraction.
How do you find the reciprocal?
The reciprocal of a number is what the original number is multiplied by to get 1. To find this you can simply divide 1 by the number you want the reciprocal for or, if the number is in fraction form, switch the denominator and numerator.
What is a recprocal?
The reciprocal of a number is 1 divided by that number. A number multiplied by its reciprocal is equal to 1. In the case of a fraction, to get the reciprocal, simply exchange numerator and denominator. Thus, the reciprocal of 5/3 is 3/5.
What is the reciprocal of a negative fraction?
Answer: -a/b is a fraction, its reciprocal is -b/a Why: Let's look at what reciprocal does. Take a fraction like 1/3 and its reciprocal is 3 . That is 1/ (1/3) and if we multiply the number by its reciprocal we get one. So now take -1/3. The question is whether the reciprocal is 3 or -3. If we multiply - 1/3 by 3 we have -1 and if we multiply it by -3 we have 1. The reciprocal of a positive or negative fraction is obtained by switching its numerator and denominator, the sign of the new fraction remains the same. So the answer is -3 and just as with positive fractions, we have the number multiplied by its reciprocal is 1
What is the reciprocal of five over 4?
The reciprocal of a number is simply 1 divide by that number. A number, multiplied by its reciprocal, is equal to one.However, in the case of fractions, you can get the reciprocal simply by exchanging top and bottom. In this case, the reciprocal of 5/4 is 4/5. This works for proper and improper fractions; in the case of a mixed fraction, you have to convert that into an improper fraction first.
What do you turn the second fraction into in a dividing problem?
When dividing by a fraction, the second fraction (the divisor) is changed into its reciprocal by swapping the numerator and denominator over (turning it upside down) and then it is multiplied by the first number (fraction).
When do you take the reciprocal of a fraction?
You take the reciprocal of a fraction when you want to invert the numerator and the denominator. The reciprocal of a fraction is found by flipping the fraction upside down. For example, the reciprocal of 2/3 is 3/2.
