Simplifying Ratios — Solutions

1. Ratios vs Fractions

   1. Total: 20 ▶ View Solution
   2. Fraction of group 1 (simplified): 25 ▶ View Solution
   3. Ratio: 8 : 12 ▶ View Solution
   4. Simplified ratio: 2 : 3 ▶ View Solution

2. Direct Simplification

   1. 2 : 3 ▶ View Solution
   2. 3 : 1 ▶ View Solution
   3. 3 : 2 ▶ View Solution
   4. 2 : 5 ▶ View Solution

3. Using the HCF

   1. 2 : 5 ▶ View Solution
   2. 9 : 4 ▶ View Solution
   3. 1 : 3 ▶ View Solution
   4. 2 : 3 ▶ View Solution

4. Handling Units

   1. 50c : $2: 1 : 4 ▶ View Solution
   2. 200 m : 1 km: 1 : 5 ▶ View Solution
   3. 15 min : 1 hour: 1 : 4 ▶ View Solution
   4. 400 g : 2 kg: 1 : 5 ▶ View Solution

5. Sports Field Dimensions

   1. Simplest form of 56 : 30: 28 : 15 ▶ View Solution
   2. Convert 14 : 7.5 to whole numbers: 28 : 15 ▶ View Solution
   3. Same ratio? Yes ▶ View Solution
   4. Simplify 56 : 30 by halving: 28 : 15 ▶ View Solution

6. The Perfect Orange Paint

   1. Ratio (red : yellow): 600 : 400 ▶ View Solution
   2. Simplified: 3 : 2 ▶ View Solution
   3. Total paint: 1 000 mL (1 L) ▶ View Solution
   4. Fraction that is yellow: 25 ▶ View Solution

7. Simplifying Three Parts

   1. 1 : 2 : 3 ▶ View Solution
   2. 2 : 3 : 1 ▶ View Solution
   3. 1 : 2 : 3 ▶ View Solution
   4. 2 : 4 : 3 ▶ View Solution

8. Survey Results

   1. Ratio (agree : neutral : disagree): 18 : 9 : 3 ▶ View Solution
   2. Simplified: 6 : 3 : 1 ▶ View Solution
   3. Agree : Total: 3 : 30 ▶ View Solution
   4. Simplified: 1 : 10 ▶ View Solution

9. Step-by-Step Simplification

   1. 80 : 64: 5 : 4 ▶ View Solution
   2. 120 : 160: 3 : 4 ▶ View Solution
   3. 48 : 72: 2 : 3 ▶ View Solution
   4. 144 : 96: 3 : 2 ▶ View Solution

10. The Concrete Mix

    1. Ratio (cement : sand : gravel): 4 : 8 : 12 ▶ View Solution
    2. Simplified: 1 : 2 : 3 ▶ View Solution
    3. Double batch: 8 : 16 : 24 ▶ View Solution
    4. Simplest form changed? No — still 1 : 2 : 3 ▶ View Solution