Expressing One Quantity as a Fraction or Percentage of Another — Solutions

1. Express as a Fraction (Same Units)

   1. 6 out of 10: 35 ▶ View Solution
   2. 15 out of 20: 34 ▶ View Solution
   3. 8 out of 32: 14 ▶ View Solution
   4. 12 out of 18: 23 ▶ View Solution
   5. 35 out of 100: 720 ▶ View Solution
   6. 9 out of 27: 13 ▶ View Solution
   7. 14 out of 21: 23 ▶ View Solution
   8. 20 out of 50: 25 ▶ View Solution

2. Express as a Percentage

   1. 12 out of 20: 60% ▶ View Solution
   2. 7 out of 25: 28% ▶ View Solution
   3. 18 out of 50: 36% ▶ View Solution
   4. 3 out of 8: 37.5% ▶ View Solution
   5. 11 out of 40: 27.5% ▶ View Solution
   6. 27 out of 60: 45% ▶ View Solution
   7. 5 out of 16: 31.25% ▶ View Solution
   8. 19 out of 200: 9.5% ▶ View Solution

3. Unit Conversions First

   1. 30 cm out of 1 m: 310; 30% ▶ View Solution
   2. 500 mL out of 2 L: 14; 25% ▶ View Solution
   3. 45 min out of 3 h: 14; 25% ▶ View Solution
   4. 250 g out of 1 kg: 14; 25% ▶ View Solution
   5. 20 c out of $5: 125; 4% ▶ View Solution
   6. 15 mm out of 6 cm: 14; 25% ▶ View Solution
   7. 3 months out of 2 years: 18; 12.5% ▶ View Solution
   8. 400 m out of 2 km: 15; 20% ▶ View Solution

4. Identify the “Whole”

   1. Boys (12) in class of 12 boys and 18 girls: 25 ▶ View Solution
   2. 34 correct out of 40: 85% ▶ View Solution
   3. Blue marbles (5) in bag of 8 red, 5 blue, 7 green: 14 ▶ View Solution
   4. Tom saves $15 of $60 earnings: 25% ▶ View Solution

5. Test Scores and Results

   1. Maths (28/35) vs Science (36/45): Equal — both 80% ▶ View Solution
   2. 14 out of 20: 70% ▶ View Solution
   3. 52 out of 80: 1320; 65% ▶ View Solution
   4. 350 out of 1 400: 25% ▶ View Solution

6. Comparing Amounts

   1. Bottle A (34 of 600 mL) vs Bottle B (60% of 800 mL): Bottle B ▶ View Solution
   2. Jess (90 of 150 pages) vs Ben (64 of 80 pages): Ben ▶ View Solution
   3. Recipe 1 (120 g in 400 g) vs Recipe 2 (80 g in 250 g): Recipe 2 ▶ View Solution
   4. 9 out of 36 as fraction, decimal and percentage: 14; 0.25; 25% ▶ View Solution

7. Find the Missing Quantity

   1. 40% of ___ = 32: 80 ▶ View Solution
   2. 35 of class = 18 students: 30 students ▶ View Solution
   3. 75% of test = 45 marks: 60 marks ▶ View Solution
   4. 25% of mixture = 150 g: 600 g ▶ View Solution

8. Express as Both Fraction and Percentage

   1. 24 out of 60: 25; 40% ▶ View Solution
   2. 18 out of 45: 25; 40% ▶ View Solution
   3. 30 out of 75: 25; 40% ▶ View Solution
   4. 36 out of 90: 25; 40% ▶ View Solution
   5. 45 out of 180: 14; 25% ▶ View Solution
   6. 28 out of 70: 25; 40% ▶ View Solution
   7. 55 out of 220: 14; 25% ▶ View Solution
   8. 120 out of 400: 310; 30% ▶ View Solution

9. Interpreting Data from a Table

   1. Pies (30) as a fraction of total (100): 310 ▶ View Solution
   2. Sandwiches (45) as a percentage: 45% ▶ View Solution
   3. Salad (15) + Fruit Cup (10) as a fraction: 14 ▶ View Solution
   4. Did not choose pies as a percentage: 70% ▶ View Solution

10. Fraction, Decimal and Percentage Connections

    1. 18 m of 25 m lap: 1825; 0.72; 72% ▶ View Solution
    2. 84 out of 120 respondents: 710; 0.7; 70% ▶ View Solution
    3. Fundraiser: $375 raised of $500 goal: 34; 0.75; 75% reached; $125 still needed ▶ View Solution
    4. Class A (21/28) vs Class B (30/40): Equal — both 75% ▶ View Solution