Question

insert six rational number between 3/5 and 2/3​

Answer 1

Answer:

19/30, 28/45, 29/45

Step-by-step explanation:

since,

3/5=18/30=27/45

2/3=20/30=30/45

Answer 2

Answer:

Make, denominator of each given rational number equal to 15 ex the LCM

3/5 = (3 × 3)/(5 × 3) = 9/15 and

2/3 = (2 × 5)/(3 ×5) = 10/15

Since, five rational numbers are required, multiply the numerator and denominator of each rational number by 5 + 1 = 6

∴ 9/15 = 9 × 6/15 × 6 = 54/90 and

10/15 = 10 × 6/15 × 6 = 60/90

∴ Required rational numbers between 3/5 and 2/3 are = 55/90, 56/90, 57/90, 58/90, 59/90

= 11/18, 28/45, 19/35, 29/45 and 59/90

Step-by-step explanation:

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