Topic Review Solutions — Fractions, Decimals & Percentages #2

Answers

1. Converting Between Fractions, Decimals and Percentages Fluency

   1. 35: 0.6; 60% ▶ View Solution
   2. 0.45: 920; 45% ▶ View Solution
   3. 70%: 0.7; 710 ▶ View Solution
   4. 78: 0.875; 87.5% ▶ View Solution
   5. 0.06: 350; 6% ▶ View Solution
   6. 37.5%: 0.375; 38 ▶ View Solution

2. Expressing Quantities as Fractions and Percentages Fluency

   1. 18 out of 24: 34; 75% ▶ View Solution
   2. 35 out of 50: 710; 70% ▶ View Solution
   3. 9 out of 36: 14; 25% ▶ View Solution
   4. 150 cm out of 2 m: 150 out of 200 cm → 34; 75% ▶ View Solution
   5. 800 mL out of 2 L: 800 out of 2 000 mL → 25; 40% ▶ View Solution
   6. 30 min out of 2 hours: 30 out of 120 min → 14; 25% ▶ View Solution
   7. 6 months out of 3 years: 6 out of 36 months → 16 ≈ 16.7% ▶ View Solution
   8. 750 m out of 3 km: 750 out of 3 000 m → 14; 25% ▶ View Solution

3. Multiplying and Dividing Decimals Fluency

   1. 4.6 × 3: 13.8 ▶ View Solution
   2. 2.5 × 1.4: 3.5 ▶ View Solution
   3. 0.8 × 0.7: 0.56 ▶ View Solution
   4. 3.6 × 0.05: 0.18 ▶ View Solution
   5. 0.12 × 0.4: 0.048 ▶ View Solution
   6. 9.6 ÷ 4: 2.4 ▶ View Solution
   7. 7.2 ÷ 0.9: 8 ▶ View Solution
   8. 0.54 ÷ 0.06: 9 ▶ View Solution
   9. 5.85 × 10: 58.5 ▶ View Solution
   10. 0.034 × 1 000: 34 ▶ View Solution

4. Order and Missing Values Understanding

   1. Order 0.72, 68%, 34, 0.7, 71%: 68%, 0.7, 71%, 0.72, 34 ▶ View Solution
   2. Order 13, 0.34, 33%, 0.3, 26: 0.3, 33%, 13 = 26 (equal, 0.333…), 0.34 ▶ View Solution
   3. 30% of n = 21: n = 70 ▶ View Solution
   4. 25 of n = 16: n = 40 ▶ View Solution
   5. 0.4 × __ = 2.8: 7 ▶ View Solution
   6. 0.7 × 0.7 = 0.49: True — 7 × 7 = 49; 2 d.p. gives 0.49 ▶ View Solution

5. Real-World Applications Problem Solving

   1. 42 out of 56: 34 = 75% — student just passes ▶ View Solution
   2. 18 out of 30 walk: 35; 60% ▶ View Solution
   3. 2.5 kg at $5.80/kg: $14.50 ▶ View Solution
   4. $75 with 20% discount: $60.00 ▶ View Solution
   5. Mince for 10 (recipe for 6 = 1.2 kg): 2 kg ▶ View Solution
   6. Fuel cost for 350 km at 7.2 L/100 km, $2.05/L: $51.66 ▶ View Solution
   7. Emily vs James savings: Emily 25%; James 30% — James saves the higher proportion ▶ View Solution
   8. 750 L used from 2 500 L tank: 310; 30% ▶ View Solution

6. Find the original amount Understanding

   1. After 20% discount, shirt costs $48: $60 ▶ View Solution
   2. 15% of a number is 12: 80 ▶ View Solution
   3. After 8% increase, value is 54: 50 ▶ View Solution

7. Express as a percentage Fluency

   1. 45 out of 180: 25% ▶ View Solution
   2. 7 out of 28: 25% ▶ View Solution
   3. 12 out of 80: 15% ▶ View Solution
   4. 55 cm out of 2.2 m: 25% ▶ View Solution

8. Currency and unit conversions Understanding

   1. $45.60 × 0.65: USD $29.64 ▶ View Solution
   2. 52 L tank at $1.89/L: $98.28 ▶ View Solution

9. Compare and interpret Problem Solving

   1. Team A (14/20) and Team B (21/30) win rates: Both 70% ▶ View Solution
   2. Which team performed better: Equal — both won 70% of games ▶ View Solution
   3. Team A: 10 more games at 70% win rate; total wins: 14 + 7 = 21 games won ▶ View Solution

10. True or False Understanding

    1. 0.09 × 10 = 0.9: True ▶ View Solution
    2. 38 as a decimal is 0.375: True ▶ View Solution
    3. 50% of 80 equals 80% of 50: True — both equal 40 ▶ View Solution
    4. 0.1 × 0.1 = 0.1: False — answer is 0.01 ▶ View Solution