greeshmaamm
Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Insert 3 rational numbers between 1 /4 and 1/3 using mean method​

Sagot :

facundo3141592

Answer:

13/48, 7/24, and 15/48

Step-by-step explanation:

When we have two numbers A and B  (such that A < B), the mean between these numbers is:

mean = (A + B)/2

And we will always have that:

A < mean < B

In this case, we have the numbers 1/4 and 1/3

The mean between these numbers is:

M = (1/4 + 1/3)/2 = (3/12 + 4/12)/2 = (7/12)/2 = 7/24

we know that 7/24 is an integer that is between the numbers  1/4 and 1/3

Now we can take the mean between 1/4 and 7/24

M = (1/4 + 7/24)/2

   = (6/24 + 7/24)/2 = (13/24)/2 = 13/48

And we have:

1/4 < 13/48 < 7/24

Now we can find the mean between  7/24 and 1/3:

M = ( 7/24 + 1/3)/2 = (7/24 + 8/24)/2 = (15/24)/2 = 15/48

then:

7/24 < 15/48 < 1/3

Then we can write:

1/4 < 13/48 < 7/24 < 15/48 < 1/3

Then the 3 rational numbers between 1/4 and 1/3 are:

13/48, 7/24, and 15/48

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.