Question

find a rational number between? 3/8 and2/5​

Answer 1

Step-by-step explanation:

First, take the numbers 3/8 and 2/5 and make the denominators equal.

Since, LCM of 8 and 5 is 40,

3/8 = 15/40 (we multiply 8 with 5 to get 40)

2/5 = 16/40 (we multiply 5 with 8 to get 40)

Now, multiply both the fractions by 2 (Both in numerator and denominator)

15 × 2/40 × 2 = 30/80

16 × 2 /40 × 2 = 32/80

Hence, 30/80 < 31/80 < 32/80

Hence, a rational number between 3/8 (30/80) and 2/5 (32/80) is 31/80.

Answer 2

Answer:

3/8/and 2/5

LCM of 8 and5= 40

3/8×5/5 and2/5×8/8

15/40 and 16/40

15/40 ×2/2 and 16/40×2/2

30/80 and 32/80

31/80 is a rational number between e3/8 and 2/5