Grade 6 Ratios & Rates: Proportions

Worked examples

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

1. Example 1

   Solve: 15/2 = x/10

   1. Compare the known denominators: 2 × 5 = 10, so the fraction was scaled up by 5.
   2. Scale the numerator by the same number: 15 × 5 = 75.
   3. Check: 15/2 = 75/10. So x = 75.

   Answer: 75

2. Example 2

   Solve: 45/47 = x/141

   1. Compare the known denominators: 47 × 3 = 141, so the fraction was scaled up by 3.
   2. Scale the numerator by the same number: 45 × 3 = 135.
   3. Check: 45/47 = 135/141. So x = 135.

   Answer: 135

3. Example 3

   Solve: 26/41 = x/82

   1. Compare the known denominators: 41 × 2 = 82, so the fraction was scaled up by 2.
   2. Scale the numerator by the same number: 26 × 2 = 52.
   3. Check: 26/41 = 52/82. So x = 52.

   Answer: 52