Question

Find five rational number between 3/5 and 2/5find five rational number between 3/5 and 2/3

Answer 1

Answer:

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

Step-by-step explanation:

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

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Answer 2

Answer:

Step-by-step explanation:

3/5 and 2/5

multiply 6 with both the fractions

3×6/5×6= 18/30

2×6/5×6= 12/30

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

3/5 and 2/3

Find the lcm

3×3/5×3= 9/15

2×5/3×5= 10/15

Now, multiply 6 with both the fractions

9×6/15×6= 54/90

10×6/15×6= 60/90

Now, 55/90, 56/90, 57/90, 58/90, 59/90