answersLogoWhite

0

Is the sum of two reciprocals 1?

Updated: 9/20/2023
User Avatar

Wiki User

12y ago

Best Answer

No, the Sum of two reciprocals isn't 1. However, the PRODUCT of two reciprocals is 1. For example, if you multiply 1/2 with 2/1, you'd multiply the two numeraters, which would be 1X2=2, and the two denominators, which is 2X1=2. this would cause the answer to be 2/2, or 1.

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Is the sum of two reciprocals 1?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Is the sum of the reciprocals 1?

No, the product of reciprocals is 1.


If the sum of two numbers is 7 and there product is 25 what is the sum of there reciprocals?

Suppose the two numbers are x and y. Then, the sum of THEIR reciprocals is 1/x + 1/y = y/xy + x/xy = (y + x)/xy = 7/25


Find the sum of the reciprocals of two real numbers given that these numbers have a sum of 150 and a product of 40?

1/x + 1/y = (y+x)/xy But y + x = sum = 150, and xy = product = 40 So sum of reciprocals = 150/40 = 3.75


The sum of two numbers is 10 their product is 20 the sum of reciprocals is what?

It is 0.5


The sum of two number is 10 and their product is 30 the sum of their reciprocals is?

Suppose the numbers are x and y. The sum of their reciprocals = 1/x + 1/y = y/xy + x/xy = (y+x)/xy = (x+y)/xy = 10/30 = 1/3


Determine the sum of the reciprocals of the two number which are their sum is 2 and their product is 3?

sannie


Can the sum of the reciprocals of two positives numvers is equal to the reciprocal of their sum?

No. That only works with products.


The sum of two numbers is 65 their product of these two is 750 what is the sum of the reciprocals of the two numbers?

(50 + 15) = 65 (50 x 15) = 750 1/50 + 1/15 = 13/150


What are the two conditional statements from the following Two numbers are reciprocals if and only if their product is 1?

If two numbers are reciprocals, then their product is 1. If the product of two numbers is 1, then they are reciprocals.


How can you tell if two numbers are reciprocals?

If you multiply two reciprocals, their product must be 1.


One number is 3 times another number. If the sum of the reciprocals of the number is 1 divided by 6. What are the two numbers?

12 and 18


If the sum of two numbers is 12 and the product is 24 What is the sum of the reciprocals?

1/x+1/y y/xy+x/xy x+y/xy=12/24 12/24=1/2 1/2 is the answer.