Question

Which pair of rational numbers are not equivalent c. 16/17,26/27 d.27/99,51/187 ​

Answer 1

Answer:

c. 16/17,26/27​

Step-by-step explanation:

Now let's convert c. to like rational numbers.

L.C.M of 17, 27 = 459

16/17 = (16*27)/(17*27) = 432/459,     26/27 = (26*17)/(27*17) = 442/459

432/459 ≠ 442/459

16/17 ≠ 26/27

now for d :

L.C.M of 99, 187 = 1683

27/99 = (27*17)/(99*27) = 459/1683,      51/187 = (51*9)/(187*9) = 459/1683

459/1683 = 459/1683

27/99 = 51/187

Here L.H.S = R.H.S

So, 27/99 and 51/187 are equivalent rational numbers and 16/17 and 26/27 are not equivalent rational numbers.

∴ 16/17 and 26/27 are not equivalent.