Question

Q1. Find five rational numbers between (-3)/5 and 1/5.
Q2. Find ten rational numbers between (-5)/7 and (-2)/3.

Answer 1

Hi ,

1 ) Number of rational numbers

required = n = 5

Multiply and divide given numbers

with ( n + 1 ) = ( 5 + 1 ) = 6

-3/5 = ( -3 × 6 )/( 5 × 6 ) = -18/30

1/5 = ( 1 × 6 )/( 5 × 6 ) = 6/30

Therefore ,

Required 5 Rational numbers between -3/5 and 1/5 are

-17/30 , -16/30 ,-15/30 , -14/30, -13/30

2 ) -5/7=(-5×3)/(7×3) =-15/21 = -165/231

-2/3 =(-2×7)/(3×7)=-14/21= -154/231

Therefore ,

Required 10 Rational numbers are ,

-164/231, -163/231,-162/231,-161/231

-160/231,-159/231,-158/231,-157/231,

-156/231,-155/231

I hope this helps you.

: )

Answer 2

Answer:

answer is in the attachment

hope it helps you