Decimals, Percentages and Fraction Problems - Civil Service Exam

Convert Fraction to Decimal

Problem 1: Convert 1/5 to a decimal. Solution: 1/5=0.2 Explanation: Divide the numerator by the denominator, 1 ÷ 5 = 0.2.

Problem 2: Convert 3/4 to a decimal. Solution: 3/4=0.75 Explanation: Divide 3 by 4, which equals 0.75.

Problem 3: Convert 2/9 to a decimal. Solution: 2/9=0.2 Explanation: 2 ÷ 9 = approximately 0.222… which is a repeating decimal.

Convert Fraction to Percentage

Problem 4: Convert 1/4 to a percentage. Solution: 1/4=25% Explanation: 1/4×100=25%

Problem 5: Convert 5/8 to a percentage. Solution: 5/8=62.5% Explanation: 5/8×100=62.5%

Problem 6: Convert 710 to a percentage. Solution: 7/10=70% Explanation: 7/10×100=70%

Convert Decimal to Fraction

Problem 7: Convert 0.5 to a fraction. Solution: 0.5 = 1/2 Explanation: 0.5 can be expressed as 5/10, which simplifies to 1/2.

Problem 8: Convert 0.75 to a fraction. Solution: 0.75 = 3/4 Explanation: 0.75 is 75/100, which simplifies to 3/4.

Problem 9: Convert 0.125 to a fraction. Solution: 0.125 = 1/8 Explanation: 0.125 is 125/1000, which simplifies to 1/8.

Convert Decimal to Percentage

Problem 10: Convert 0.2 to a percentage. Solution: 0.2 = 20% Explanation: 0.2 × 100 = 20%.

Problem 11: Convert 0.01 to a percentage. Solution: 0.01 = 1% Explanation: 0.01 × 100 = 1%.

Problem 12: Convert 0.98 to a percentage. Solution: 0.98 = 98% Explanation: 0.98 × 100 = 98%.

Convert Percentage to Decimal

Problem 13: Convert 25% to a decimal. Solution: 25% = 0.25 Explanation: 25 ÷ 100 = 0.25.

Problem 14: Convert 60% to a decimal. Solution: 60% = 0.6 Explanation: 60 ÷ 100 = 0.6.

Problem 15: Convert 175% to a decimal. Solution: 175% = 1.75 Explanation: 175 ÷ 100 = 1.75.

Convert Percentage to Fraction

Problem 16: Convert 50% to a fraction. Solution: 50% = 1/2 Explanation: 50% is 50/100, which simplifies to 1/2.

Problem 17: Convert 75% to a fraction. Solution: 75% = 3/4 Explanation: 75% is 75/100, which simplifies to 3/4.

Problem 18: Convert 20% to a fraction. Solution: 20% = 1/5 Explanation: 20% is 20/100, which simplifies to 1/5.

Mixed Problems

Problem 19: Convert 0.33 to a percentage. Solution: 0.33 = 33% Explanation: 0.33 × 100 = 33%.

Problem 20: Convert 120% to a fraction. Solution: 120% = 6/5 Explanation: 120% is 120/100, which simplifies to 6/5.