find the rational number between 3/5 and 2/5
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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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