interest the rational number between 2

Asked by pg401489 | 10th Mar, 2021, 12:13: PM

Expert Answer:

begin mathsize 16px style To space find space rational space numbers space between space 2 over 3 space and space 3 over 4 comma
first space find space the space LCM space of space the space denominators comma space 3 space and space 4.
LCM space of space 3 space and space 4 space equals space 12
Now comma space equalize space the space denominators space of space each space fraction space by space making space them space equal space to space the space LCM.
2 over 3 equals fraction numerator 2 cross times 4 over denominator 3 cross times 4 end fraction equals 8 over 12
3 over 4 equals fraction numerator 3 cross times 3 over denominator 4 cross times 3 end fraction equals 9 over 12
Multiply space 8 over 12 space and space 9 over 12 space by space 10 over 10 comma space we space get
8 over 12 equals fraction numerator 8 cross times 10 over denominator 12 cross times 10 end fraction equals 80 over 120
9 over 12 equals fraction numerator 9 cross times 10 over denominator 12 cross times 10 end fraction space equals 90 over 120 space
So comma space the space three space rational space numbers space are space 81 over 120 comma space 82 over 120 space and space 83 over 120.
end style

Answered by Renu Varma | 10th Mar, 2021, 08:40: PM