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quarter — Definition, Formula & Examples

A quarter is one of four equal parts of a whole, written as the fraction 14\frac{1}{4}. When you split something into four identical pieces, each piece is one quarter.

The term quarter denotes the unit fraction 14\frac{1}{4}, representing the result of dividing a quantity into four congruent parts and selecting exactly one of those parts.

Key Formula

14=0.25=25%\frac{1}{4} = 0.25 = 25\%
Where:
  • 14\frac{1}{4} = One quarter expressed as a fraction
  • 0.250.25 = One quarter expressed as a decimal
  • 25%25\% = One quarter expressed as a percent

Worked Example

Problem: You have 12 grapes and want to eat a quarter of them. How many grapes do you eat?
Set up: Find one quarter of 12 by dividing by 4.
14×12=12÷4\frac{1}{4} \times 12 = 12 \div 4
Divide: Divide 12 by 4.
12÷4=312 \div 4 = 3
Answer: You eat 3 grapes.

Why It Matters

Quarters appear constantly in everyday life — a quarter of an hour is 15 minutes, and a US quarter coin is worth $0.25, which is one quarter of a dollar. Understanding this fraction builds a foundation for working with all fractions, decimals, and percents.

Common Mistakes

Mistake: Confusing a quarter (1/4) with a half (1/2).
Correction: A quarter splits something into 4 equal parts; a half splits it into only 2. A quarter is half of a half.

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