Grade 6 Ratios & Rates: Equivalent Ratios

Worked examples

Real problems from the practice worksheets, solved one step at a time.

1. Example 1

   Find the equivalent ratio: 9:9 = ?:27

   1. Compare the known second parts: 9 × 3 = 27, so the ratio was scaled up by 3.
   2. Scale the first part by the same number: 9 × 3 = 27.
   3. So 9:9 = 27:27, and the missing number is 27.

   Answer: 27

2. Example 2

   Find the equivalent ratio: 21:7 = ?:14

   1. Compare the known second parts: 7 × 2 = 14, so the ratio was scaled up by 2.
   2. Scale the first part by the same number: 21 × 2 = 42.
   3. So 21:7 = 42:14, and the missing number is 42.

   Answer: 42

3. Example 3

   Find the equivalent ratio: 13:5 = ?:30

   1. Compare the known second parts: 5 × 6 = 30, so the ratio was scaled up by 6.
   2. Scale the first part by the same number: 13 × 6 = 78.
   3. So 13:5 = 78:30, and the missing number is 78.

   Answer: 78