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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.
Do you divide equivalent fractions?
Any fraction divided by an equivalent fraction will always equal one.Any fraction divided by an equivalent fraction will always equal one.Any fraction divided by an equivalent fraction will always equal one.Any fraction divided by an equivalent fraction will always equal one.
What is the reciprocal of -7 over 10?
7/10 x 10/7 =7/7 which is 1 whole
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 7 over 8?
Expressed as a top-heavy fraction, the reciprocal of 7/8 is equal to 8/7 or eight sevenths.
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.
How do you find a reciprocal?
A reciprocal is the number you must multiply another number by to get the product of 1. The reciprocal of 4 (which is the same as 4/1) is 1/4. The reciprocal of 3/8 is 8/3. The reciprocal of 13 is 1/13.This can also be expressed using exponents. The reciprocal of any value x is equal to x-1. So the reciprocal of a/b is (a/b)-1, which is equal to b/a.To find a reciprocal, put the number under one. If it is a fraction, flip the fraction. Whatever the reciprocal is, remember that it must always multiply to one with the original number.
Does a reciprocal always equal the number one?
No, a reciprocal is just like any other fraction, it only equals one if both numbers in it are the same.
What is the fraction you multiply by to equal one?
A reciprocal.
What is the reciprocal of 56?
The reciprocal of any integer x is equal to 1/x. In this instance, expressed as a proper fraction, the reciprocal of 56 is equal to 1/56.
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
Does a reciprocal always equal a whole number?
If you multiply them, reciprocals always equal one.
How can you use reducing fractions to demonstrate that the product of a fraction and it's reciprocal is 1?
Well, honey, when you reduce a fraction and then multiply it by its reciprocal, you're basically just multiplying a number by its inverse, which always equals 1. It's like flipping a pancake and then flipping it back - you end up right where you started. So, go ahead and crunch those numbers, and you'll see that the product of a fraction and its reciprocal is always 1.
What is the reciprocal of a number 17.62?
Expressed as a top-heavy fraction in its simplest form, 17.62 is equal to 881/50. The reciprocal of this is equal to 50/881.
The product of rational number and its reciprocal?
Is '1' Any number multiplied with its reciprocal is equal to '1'
Do you divide equivalent fractions?
Any fraction divided by an equivalent fraction will always equal one.Any fraction divided by an equivalent fraction will always equal one.Any fraction divided by an equivalent fraction will always equal one.Any fraction divided by an equivalent fraction will always equal one.
Which fraction do you reciprocal when the hole number is first?
You first convert the mixed fraction to an improper fraction. Example: what's the reciprocal of 3 2/5 (three and two-fifths)? Answer: 3 2/5 is equal to 17/5; the reciprocal of that is 5/17. Why is this answer correct? That's because 5/17 times 17/5 is equal to 85/85 = 1. And that is the definition of "reciprocal".
