Question

What is greater one seventh or one nineth

Answer 1

One seventh is greater

Answer 2

Method 1:

Look at the picture.

`(1)/(7)` is greater than
`(1)/(9)`

`\boxed{(1)/(7)>(1)/(9)}`

Method 2:

Find the common denominator:

multiples of 7: 0, 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ...

multiples of 9: 0, 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...

63 = 7 · 9

`(1)/(7)=(1\cdot9)/(7\cdot9)=(9)/(63)\\\\(1)/(9)=(1\cdot7)/(9\cdot7)=(7)/(63)`

`(9)/(63) > (7)/(63)`

therefore

`(1)/(7) > (1)/(9)`