Converting Fractions, Decimals & Percentages — Solutions

1. Fractions to Decimals

   1. 12: 0.5 ▶ View Solution
   2. 34: 0.75 ▶ View Solution
   3. 15: 0.2 ▶ View Solution
   4. 25: 0.4 ▶ View Solution
   5. 710: 0.7 ▶ View Solution
   6. 38: 0.375 ▶ View Solution
   7. 58: 0.625 ▶ View Solution
   8. 14: 0.25 ▶ View Solution

2. Fractions to Percentages

   1. 14: 25% ▶ View Solution
   2. 35: 60% ▶ View Solution
   3. 710: 70% ▶ View Solution
   4. 18: 12.5% ▶ View Solution
   5. 320: 15% ▶ View Solution
   6. 925: 36% ▶ View Solution
   7. 1350: 26% ▶ View Solution
   8. 58: 62.5% ▶ View Solution

3. Decimals to Fractions (simplified)

   1. 0.5: 12 ▶ View Solution
   2. 0.25: 14 ▶ View Solution
   3. 0.8: 45 ▶ View Solution
   4. 0.6: 35 ▶ View Solution
   5. 0.75: 34 ▶ View Solution
   6. 0.4: 25 ▶ View Solution
   7. 0.35: 720 ▶ View Solution
   8. 0.125: 18 ▶ View Solution

4. Decimals to Percentages

   1. 0.3: 30% ▶ View Solution
   2. 0.75: 75% ▶ View Solution
   3. 0.07: 7% ▶ View Solution
   4. 0.9: 90% ▶ View Solution
   5. 0.45: 45% ▶ View Solution
   6. 0.125: 12.5% ▶ View Solution
   7. 0.02: 2% ▶ View Solution
   8. 1.5: 150% ▶ View Solution

5. Percentages to Decimals and Fractions

   1. 50%: 0.5; 12 ▶ View Solution
   2. 25%: 0.25; 14 ▶ View Solution
   3. 80%: 0.8; 45 ▶ View Solution
   4. 15%: 0.15; 320 ▶ View Solution
   5. 4%: 0.04; 125 ▶ View Solution
   6. 37.5%: 0.375; 38 ▶ View Solution
   7. 110%: 1.1; 1110 ▶ View Solution
   8. 2.5%: 0.025; 140 ▶ View Solution

6. Complete the Conversion Table

   1. 25: 0.4; 40% ▶ View Solution
   2. 0.35: 720; 35% ▶ View Solution
   3. 60%: 0.6; 35 ▶ View Solution
   4. 78: 0.875; 87.5% ▶ View Solution
   5. 0.04: 125; 4% ▶ View Solution
   6. 12.5%: 0.125; 18 ▶ View Solution

7. Order from Smallest to Largest

   1. 65%, 0.68, 0.7, 34: 65%, 0.68, 0.7, 34 ▶ View Solution
   2. 30%, 0.32, 13, 0.29: 0.29, 30%, 0.32, 13 ▶ View Solution
   3. 58, 60%, 0.65, 0.63: 60%, 58, 0.63, 0.65 ▶ View Solution
   4. 0.92, 85%, 910, 89%: 85%, 89%, 910, 0.92 ▶ View Solution

8. Real-World Conversions

   1. 25% off; discount as decimal multiplier: 0.25 (the discount is 25% of price); sale price = 0.75 × original price ▶ View Solution
   2. 1720 as a percentage: 85% ▶ View Solution
   3. Tank 0.6 full; % full and fraction empty: 60% full; 25 empty ▶ View Solution
   4. 750 mL out of 1 000 mL as fraction, decimal, %: 34, 0.75, 75% ▶ View Solution
   5. Alex (14), Blake (30%), Casey (28%); who saves most: Blake ▶ View Solution

9. Percentage of Quantities

   1. 50% of 80: 40 ▶ View Solution
   2. 25% of 120: 30 ▶ View Solution
   3. 10% of 350: 35 ▶ View Solution
   4. 75% of 200: 150 ▶ View Solution
   5. 30% of 90: 27 ▶ View Solution
   6. 15% of 60: 9 ▶ View Solution
   7. 40% of 250: 100 ▶ View Solution
   8. 5% of 140: 7 ▶ View Solution

10. Exam Challenge

    1. 20% discount on $85; sale price: $68 ▶ View Solution
    2. 35% = 14 boys; total students: 40 students ▶ View Solution
    3. 0.375 as % and fraction: 37.5%; 38 ▶ View Solution
    4. Which is larger: 0.4 or 0.4%: 0.4 is greater ▶ View Solution