Question

Compare the fractions, and write > or < or = for your answer.

4 7
─ ─
6 9

8 7
─ ─
10 9

6 8
─ ─
4 5

2 4
─ ─
12 8

6 5
─ ─
9 12

3 5
─ ─
8 6

2 5
─ ─
9 7

6 2
─ ─
10 3

3 4
─ ─
6 11

5 3
─ ─
11 6

Answer 1

Lol this should be okay

Answer 2

`(4)/(6) < (7)/(9)` ;
`(8)/(10) > (7)/(9)` ;
`(6)/(4) < (8)/(5)` ;
`(2)/(12) < (4)/(8)` ;
`(6)/(9) > (5)/(12)` ;
`(3)/(8) < (5)/(6)` ;
`(2)/(9) < (5)/(7)` ;
`(6)/(10) < (2)/(3)` ;
`(3)/(6) > (4)/(11)` ;
`(5)/(11) < (3)/(6)`

Explanation:

For each comparsion, simplify, find the common denominator, then compare.

(a)

Simplify
`(4)/(6)=(2)/(3)`

Then between 3 and 9, the lowest common denominator would be 9.

This gives:
`(2)/(3) = (6)/(9)` and
`(7)/(9)` stays the same.

Therefore
`(6)/(9) < (7)/(9)` and
`(4)/(6) < (7)/(9)`

(b)

Simplify
`(8)/(10)=(4)/(5)`

Then between 5 and 9, the lowest common denominator would be 45.

This gives:
`(4)/(5) = (36)/(45)` and
`(7)/(9) = (35)/(45)`

Therefore
`(36)/(45) > (35)/(45)` and
`(8)/(10) > (7)/(9)`

(c)

Simplify
`(6)/(4)=(3)/(2)`

Then between 2 and 5, the lowest common denominator would be 10.

This gives:
`(3)/(2) = (15)/(10)` and
`(8)/(5) =(16)/(10)`

Therefore
`(15)/(10) < (16)/(10)` and
`(6)/(4) < (8)/(5)`

(d)

Simplify
`(2)/(12)=(1)/(6)` and
`(4)/(8) = (1)/(2)`

Then between 2 and 6, the lowest common denominator would be 6.

This gives:
`(1)/(6)` stays the same and
`(1)/(2) =(3)/(6)`

Therefore
`(1)/(6) < (3)/(6)` and
`(2)/(12) < (4)/(8)`

It's a similar process for the rest and you can always verify your answer with a calculator. If you need more help with the rest just say so! Hope this helps.

Also, when in doubt of finding a common denominator just multiply the two denominators. For example in (b) the lowest common denominator between 5 and 9 = 5*9=45.