Fraction ↔ Decimal
Master the basic conversions instantly.
Core Concepts
Converting fractions to decimals should be instant! Memorizing the "Family of Fractions" makes math much faster.
The Halves Family
- 1/2 = 0.5
- 1/4 = 0.25 (Half of 0.5)
- 3/4 = 0.75
- 1/8 = 0.125 (Half of 0.25)
The Fifths Family
- 1/5 = 0.2
- 2/5 = 0.4
- 3/5 = 0.6
- 4/5 = 0.8
Solved Examples
Example 1: 3/4
Question: Convert 3/4 to decimal.
• We know 1/4 = 0.25.
• So 3/4 = 3 × 0.25.
• Answer: 0.75.
Example 2: 2/5
Question: Convert 2/5 to decimal.
• We know 1/5 = 0.2.
• So 2/5 = 2 × 0.2.
• Answer: 0.4.
Example 3: 1/20
Question: Convert 1/20 to decimal.
• 1/20 is half of 1/10.
• 1/10 = 0.1.
• Half of 0.1 is 0.05.
• Answer: 0.05.
Example 4: 3/8
Question: Convert 3/8 to decimal.
• We know 1/8 = 0.125.
• So 3/8 = 3 × 0.125.
• Answer: 0.375.
