How do you check if two rational numbers are equal?

There are two methods:

Method 1: Standard Form

• Convert both to standard form
• If they have the same standard form, they're equal

Method 2: Cross Multiplication

• For a/b and c/d: if a × d = b × c, then a/b = c/d

Example: Are 6/9 and 4/6 equal?

Method 1:

• 6/9 = 2/3 (standard form)
• 4/6 = 2/3 (standard form)
• They're equal ✓

Method 2:

• 6 × 6 = 36
• 9 × 4 = 36
• Since 36 = 36, they're equal ✓