How do you find equivalent rational numbers?

To find equivalent rational numbers of p/q:

Method 1: Multiply both numerator and denominator by the same non-zero integer

Example for 2/3:

• 2/3 = 4/6 (multiply by 2)
• 2/3 = 6/9 (multiply by 3)
• 2/3 = 10/15 (multiply by 5)

Method 2: Divide both numerator and denominator by their common factor (to simplify)

Example for 12/18:

• 12/18 = 6/9 (divide by 2)
• 12/18 = 4/6 (divide by 3)
• 12/18 = 2/3 (divide by 6 - this is standard form)