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Types of fractions

Whole Numbers as Fractions

Write any whole number as a fraction in one step. Convert 40, 29,000, 6, 15, and more by placing the number over 1.

Try any non-negative whole number.

Answer

40=401

40 written as a fraction is 40/1. Dividing by 1 does not change a number, so this is already the simplest form.

Equivalent forms: 40/1 = 80/2 = 120/3

Quick answer

For every whole number n, write n/1. For example, 6 = 6/1, 40 = 40/1, and 29,000 = 29,000/1. A denominator of 1 does not change the number’s value.

The rule

How to write a whole number as a fraction

Use the whole number as the numerator, then write 1 as the denominator. If the number is 15, write 15/1. If the number is 40, write 40/1. If the number is 29,000, write 29,000/1. The same single rule works no matter how many digits the whole number has.

The fraction bar means division. Therefore n/1 means n ÷ 1. Dividing by 1 leaves a number unchanged, so the fraction and the original whole number have exactly the same value.

Transparent diagram showing the rule n equals n over one with examples six, forty, and twenty-nine thousand.
The denominator 1 says every counted unit is a complete whole, not a part of a whole.

Worked examples

Examples: 2, 6, 15, 40, and 29,000 as fractions

Whole numberFraction formCheck
22/12 ÷ 1 = 2
66/16 ÷ 1 = 6
1515/115 ÷ 1 = 15
4040/140 ÷ 1 = 40
29,00029,000/129,000 ÷ 1 = 29,000

Each answer is already simplified. You can create equivalent fractions, such as 40/1 = 80/2, by multiplying the numerator and denominator by the same number. But the over-1 form is the shortest standard answer.

Know the limits

Do not use the whole-number rule for decimals or percents

40

40/1

A whole number.

0.40

40/100 = 2/5

Forty hundredths.

40%

40/100 = 2/5

Forty out of one hundred.

Keep learning

Compare other types of fractions

Whole numbers can be written as improper fractions over 1. Next, compare them with proper fractions, mixed numbers, and fraction notation.

Learn about proper fractions →

Common questions

Whole Numbers as Fractions FAQ

Put the whole number in the numerator and write 1 in the denominator. For any whole number n, n = n/1.