find 3 rational numbers between 9/10 and 16/15
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Step-by-step explanation:
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
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)
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