Question

Find 5 rational number between
1, -3/2&5/3
2, 1/4&1/2

Answer 1

Step-by-step explanation:

1, -3/2 & 5/3

LCM of 2 and 3 = 2×3=6

-3×2= -6

2×3= 6

5×2=10

3×2= 6

We write the denominator 5+1=6(Since we need to find 5 rational numbers we add 5 with 1)

(number) N=5

(number plus one) N+1= 5+1=6

Multiply 6 on Nr(Numerator) and Dr(Denominator)

-6×6= -36

6×6= 36

10×6=60

6×6= 36

So, -20/36, -10/36, 20/36, 30/36, 40/36

2, 1/4 & 1/2

LCM of 4 and 2= 2×2=4

1×4= 4

4×1= 4

1×2= 2

2×2= 4

N=5, N+1=5+1=6

Multiply 6 on both Nr and Dr

4×6=24

4×6=24

2×6=12

4×6=24

So, 13/24, 15/24, 18/24, 20/24, 23/24