SCREEN[2]

Solution


 1    1
 ---- = ----  ?
 6    16

1/6 sticks means 1 pieces of sticks of 1/6 size.
1/16 sticks means 1 pieces of sticks of 1/16 size.

As the pieces are of different sizes, so we can not compare them.
To compare them, we have to make the pieces equal in size

1/6 stick is bigger than 1/16 stick.

But, by dividing 1/6 sticks into smaller pieces of equal size,
we can not get sticks of 1/16 size.

So, we divide 1/6 stick into 16 equal pieces.
So each piece size becomes 1 / 6 x 16 and
Now we have 16 / 96 sticks from 1/6 sticks and
We have 16 / 96 sticks from 1/6 sticks

And we divide 1/16 stick into 6 equal pieces.
So each piece size becomes 1 / 16 x 6 and
Now we have 6 / 96 sticks from 1/16 sticks and
We have 6 / 96 sticks from 1/16 sticks

Now in both cases the smallest piece of the sticks are of 1/96.

In the first case, there are 16 such smaller pieces.
And in the second case, there are 6 such smaller pieces.

So the first number is bigger.