We can have 3 cases

- Both numbers are positive
- Both numbers are negative
- One is positive, one is negative

Let’s look at each of them separately

##
**
Both numbers are positive
**

**
**
**
2/3
**
**
&
**
**
4/3
**

Here, denominator is same.

So, we compare numerator.

2 < 4

∴ 2/3 < 4/3

**
1/2
**
**
&
**
**
2/3
**

First of all, we make denominator same

Common denominator = LCM of 2 & 3

= 2 × 3

= 6

##
**
Both numbers are negative
**

When both numbers are negative,

we ignore the signs & compare

And then we reverse the order

**
(-2)/3
**
**
&
**
**
(-4)/3
**

Ignoring signs

2/3 & 4/3

Here, denominator is same.

So, we compare numerator.

2 < 4

∴ 2/3 < 4/3

**
Multiplying −1 both sides
**

2/3 × −1 > 4/3 × −1

(-2)/3 > (-4)/3

**
(-
**
**
1
**
**
)/
**
**
2
**
**
&
**
**
(-
**
**
2
**
**
)/3
**

Ignoring signs

1/2 & 2/3

Making denominator same

Common denominator = LCM of 2 & 3

= 2 × 3

= 6

**
Multiplying
**

*−1 both sides*1/2 × −1 > 2/3 × −1

(-1)/2 > (-2)/3

##
**
One number is negative, one is positive
**

The negative number is always smaller

**
**
**
(-2)/3
**
**
&
**
**
4/3
**

(-2)/3 < 4/3

And,

1/2 & 2/(-3)

**
**
**
1/2
**
**
>
**
**
2/(-3)
**

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