Grade 6 Ratios & Rates: Unit Review

Worked examples

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

1. Example 1

   Solve: 10/34 = x/204

   1. Compare the known denominators: 34 × 6 = 204, so the fraction was scaled up by 6.
   2. Scale the numerator by the same number: 10 × 6 = 60.
   3. Check: 10/34 = 60/204. So x = 60.

   Answer: 60

2. Example 2

   Solve: 41/28 = x/140

   1. Compare the known denominators: 28 × 5 = 140, so the fraction was scaled up by 5.
   2. Scale the numerator by the same number: 41 × 5 = 205.
   3. Check: 41/28 = 205/140. So x = 205.

   Answer: 205

3. Example 3

   Solve: 21/23 = x/69

   1. Compare the known denominators: 23 × 3 = 69, so the fraction was scaled up by 3.
   2. Scale the numerator by the same number: 21 × 3 = 63.
   3. Check: 21/23 = 63/69. So x = 63.

   Answer: 63