Fractions and Decimals in Words

Understanding how to properly express fractions and decimals in words is essential for clear communication in academic, legal, financial, and everyday contexts. This comprehensive guide covers the conventions and rules for writing partial numbers as text, with examples for various situations.

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Basic Fractions in Words

Common Fractions

Common fractions consist of a numerator (top number) and denominator (bottom number). When writing fractions in words, follow these guidelines:

Common Fractions Examples:
1/2 → one-half
1/4 → one-fourth or one-quarter
3/4 → three-fourths or three-quarters
2/3 → two-thirds
4/5 → four-fifths
7/8 → seven-eighths
Denominator Word Form (Singular) Word Form (Plural)
2 half halves
3 third thirds
4 fourth or quarter fourths or quarters
5 fifth fifths
6 sixth sixths
8 eighth eighths
10 tenth tenths
100 hundredth hundredths
1000 thousandth thousandths
Note: The denominator is expressed as an ordinal number (third, fourth, etc.) rather than a cardinal number (three, four, etc.).

Mixed Numbers

Mixed numbers combine a whole number with a fraction. When writing mixed numbers in words, express the whole number followed by the fraction, usually connected with "and".

Mixed Numbers Examples:
1 1/2 → one and one-half
2 3/4 → two and three-fourths
3 1/3 → three and one-third
4 2/5 → four and two-fifths
7 5/8 → seven and five-eighths
Tip: In formal contexts, particularly in legal or financial documents, you may see expressions like "one and one-half (1 1/2)" where both the word form and numeric form are included for clarity.

Complex Fractions

For fractions with larger or more complex numerators and denominators, follow the same pattern:

Complex Fractions Examples:
11/16 → eleven-sixteenths
23/50 → twenty-three fiftieths
101/1000 → one hundred one thousandths
7/100 → seven hundredths

Decimals in Words

Basic Decimal Expression

When expressing decimals in words, there are two common methods:

  1. Decimal point method: Reading each digit including the decimal point
  2. Place value method: Reading the number as a whole followed by the place value
Decimal Examples (Both Methods):
0.5 →
  • zero point five
  • five tenths
0.75 →
  • zero point seven five
  • seventy-five hundredths
0.125 →
  • zero point one two five
  • one hundred twenty-five thousandths

Decimals with Whole Numbers

When a decimal includes a whole number part, express the whole number first, followed by the decimal portion:

Whole + Decimal Examples:
1.5 →
  • one point five
  • one and five tenths
2.25 →
  • two point two five
  • two and twenty-five hundredths
123.456 →
  • one hundred twenty-three point four five six
  • one hundred twenty-three and four hundred fifty-six thousandths
Note: In formal writing, especially in financial or legal contexts, the place value method is often preferred as it's more precise.

Leading and Trailing Zeros

Pay special attention to zeros in decimal numbers:

Zeros in Decimals:
0.01 →
  • zero point zero one
  • one hundredth
0.001 →
  • zero point zero zero one
  • one thousandth
1.50 →
  • one point five zero
  • one and fifty hundredths
20.070 →
  • twenty point zero seven zero
  • twenty and seventy thousandths
Tip: In mathematical contexts, trailing zeros are sometimes significant. In financial contexts, they almost always are. For example, $1.50 specifies exactly fifty cents, not just five tenths.

Specialized Applications

Financial and Legal Documents

In financial and legal contexts, precision is critical. Here are the conventions for expressing fractions and decimals in these contexts:

Financial/Legal Examples:
$245.67 → Two hundred forty-five dollars and sixty-seven cents
$1,000.50 → One thousand dollars and fifty cents
50% → Fifty percent
1/3 interest → One-third interest
2.5% → Two and one-half percent
Important: In legal documents like contracts and wills, both the numeric and word forms are often included for clarity, e.g., "two-thirds (2/3) of the estate" or "one thousand two hundred fifty dollars ($1,250.00)."

Scientific and Technical Writing

In scientific contexts, decimals are often preferred over fractions, and precision is important:

Scientific Examples:
0.333... → zero point three repeating
1.6 × 10^-19 → one point six times ten to the negative nineteenth power
3.14159 → three point one four one five nine (pi)
0.0005 → five ten-thousandths

Educational Contexts

In educational settings, both fractions and decimals are important. Clear verbal expressions help students understand the concepts:

Educational Examples:
1/2 + 1/4 → one-half plus one-fourth
0.75 × 0.5 → zero point seven five times zero point five
3/4 = 0.75 → three-fourths equals zero point seven five
2 1/2 - 1 3/4 → two and one-half minus one and three-fourths

Common Conventions and Rules

Hyphenation Rules

When writing fractions as words, follow these hyphenation guidelines:

  • Hyphenate simple fractions when used as adjectives or nouns: "one-half," "three-quarters"
  • When a fraction is part of a compound adjective, hyphenate the entire expression: "a one-third-full glass"
  • Don't hyphenate the whole number portion in mixed numbers: "two and one-half," not "two-and-one-half"

Style Guide Differences

Different style guides have slightly different conventions for expressing fractions and decimals:

Style Guide Preference Example
APA Use numerals for fractions involving measurements; words for other simple fractions We measured 1/4 inch. About one-half of the participants...
Chicago Manual of Style Spell out simple fractions; use numerals with the fraction bar for complex ones two-thirds; 24/127
MLA Spell out fractions in non-technical content three-fourths of the audience
AP Style Use figures except for amounts less than one, which are spelled out 1 1/2 cups; one-third of voters

Spoken Language vs. Written Forms

Sometimes spoken language differs from formal written expression, especially for common fractions and decimals:

Spoken vs. Written:
0.5 → Often spoken as "point five" but written as "zero point five" or "five tenths"
$1.25 → Often spoken as "a dollar twenty-five" but written as "one dollar and twenty-five cents"
3.14 → Often called "pi" in context but written as "three point one four"

Regional Differences

American vs. British English

There are some differences in how fractions and decimals are expressed in different English-speaking regions:

Feature American English British English
Decimal Point Symbol Period (.) Period (.), though comma is used in some European contexts
Reading "0.5" "zero point five" or "point five" "nought point five" or "zero point five"
1/4 term Often "one-fourth" Usually "one-quarter"
Large number grouping 1,000,000.00 1,000,000.00 or 1 000 000,00 (in some contexts)

Additional Resources

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Practice Exercises

Test your understanding of fractions and decimals in words with these practice exercises:

  1. Write these fractions in words: 2/3, 5/8, 11/20
  2. Write these decimals in words using both methods: 0.25, 1.75, 0.008
  3. Convert these mixed numbers to words: 3 1/2, 7 3/4, 12 5/6
  4. Express these monetary values in words: $1.50, $24.99, $301.05