Question

Find any ten rational numbers between 9/10 and 16/15

Answer 1

Step-by-step explanation:

The ten rational number between this are:

9/10 and 16 /15

L.C.M of 10 and 15 is 30

27/30 and 32/30

27/30×2/2=54/60

32/30×2/2=64/60

54/60×2/2=108/120

64/60×2/2=128/120

ten rational numbers are 109/120,110/120,111/120,112/120,113/120,114/120,115/120,116/120,117/120118/120

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Answer 2

We have: 9/10 and 16/15

LCM(10,15) = 30

Converting the given fractions in like fractions, 9/10×3/3=27/30 and 16/15×2/2=32/30

Multiplying both the fractions by 10+1,i.e., 11,

27/30×11/11= 297/330 and 32/30×11/11=352/330

Thus, the required rational numbers = 298/330,..., 351/330 (any 10)