Question

Place the correct symbol, < or >, between the two numbers 11/18 17/24

Answer 1

`(11)/(18)<(17)/(24)`

Explanation:

Given numbers are
`(11)/(18)` and
`(17)/(24)`.

Now we need to place the correct symbol, < or >, between the given numbers
`(11)/(18)` and
`(17)/(24)`.

To compare both, we must make denominators equal:

`(11)/(18),(17)/(24)`

`= (11)/(18)\cdot(4)/(4),(17)/(24)\cdot(3)/(3)`

`=(44)/(72),(51)/(72)`

Now we can easily compare numerators and see that 44<51

then correct answer is:

`(11)/(18)<(17)/(24)`

Answer 2

For this case we must indicate the correct sign between the following numbers:

`\frac {11} {18}\ and\ \frac {17} {24}`

We have to:

`\frac {11} {18} = 0.611111111111\\\frac {17} {24} = 0.708333333333`

So, we have to
`\frac {17} {24}> \frac {11} {18}`

Answer:

`\frac {17} {24}> \frac {11} {18}`