How to Write Fractions in Formal Writing
  • 5-minute read
  • 22nd June 2020

How to Write Fractions in Formal Writing

When using a fraction in a formal document, such as an essay, should you write it as words or numerals? It all depends on the situation! Check out our guide on how to write fractions in formal writing to find out more.

How to Write Fractions

Fractions represent parts of a whole. They do this with a numerator (i.e., the number of parts present) and a denominator (i.e., the number of parts that make up the whole). We can write them as numerals or words.

Numeral Word
1/2 Half
3/4 Three quarters
5/8 Five eighths
17/24 Seventeen twenty-fourths

 
But what are the rules about writing fractions? When should they be numerals and when should they be words? Let’s take a look.

Fractions as Numerals

To write fractions as numerals, do it with the numerator above the denominator, separated by a line. For instance, if we cut something into three parts, each part would be “1/3,” and two parts would be “2/3”:

He ate 2/3 of the pizza by himself!

There are various ways to write fractions as numerals. In the examples above, we have simply used a forward slash between the two numbers. But we could also use a division slash between superscript and subscript numbers (e.g., 12, 23) or a horizontal line known as a vinculum.

The correct format is usually a matter of preference, but you should check your style guide for advice if you are using one.

You can also write fractions as words. Let’s look at how this works.

Fractions as Words

When writing fractions as words, you need to give:

  • The numerator as a cardinal number (e.g., one, two, three).
  • The denominator as an ordinal number (e.g., third, fifth, sixth).

For instance, we would write “2/3” as “two thirds”:

He ate two thirds of the pizza by himself!

This applies for most fractions. But there are two exceptions that have their own words: half (1/2) and quarter (1/4). For instance:

She spent half the day asleep.

We have three quarters of the cake.

However, you can use “fourths” in place of “quarters” in American English.

Should You Write Fractions as Words or Numerals?

So, when should you write fractions as words and when should you write them as numerals? In less formal writing, as long as your meaning is clear, this is simply a matter of preference. But many style guides suggest writing out simple fractions as words in formal writing:

The subject completed 2/3 of the exercises.

The subject completed two thirds of the exercises.

You can also do this for longer or more complex fractions:

We received feedback from seventeen twenty-fourths of the participants.

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But numerals may be clearer in cases like this:

We received feedback from 17/24 of the participants.

It ultimately comes down to which style guide you are using, so make sure to check if you have one. However, as a rule, we suggest:

  • Writing fractions as words in the main text of a document.
  • Using numerals for fractions in measurements, tables of results, equations, and other primarily numerical data.

And in the rest of this post, we will look at cases where you need to be careful about how you write fractions.

Fractions at the Beginning of a Sentence

Even if you are writing fractions as numerals elsewhere, you should not start a sentence with a numeral. For example, the following would be incorrect:

22/7 is a good approximation of pi.

To avoid this, you would either need to write the fraction as words or rephrase the sentence so that it does not begin with a fraction:

Twenty-two sevenths is a good approximation of pi.

The fraction 22/7 is a good approximation for the mathematical value pi.

Mixed Fractions and Consistency

A mixed fraction is a whole number followed by a fraction. If you use a mixed fraction in your writing, make sure to use a consistent style for the whole number and the fraction:

The boys ate 5 ½ pizzas.

The boys ate five and a half pizzas.

Never mix words and numerals in a fraction:

The hungry boys ate thirty-three and ¾ of the pizzas.

When to Hyphenate a Fraction

Some people like to add a hyphen between the numerator and denominator when writing fractions as words. For instance, while we’ve written “two thirds” above, we could equally write it as “two-thirds”:

The subject completed two-thirds of the exercises.

Unless your style guide provides advice on this, it is simply a matter of preference (just remember to be consistent!). However, there are two cases where fractions should include a hyphen:

  • When a fractions contains a compound number between twenty-one and ninety-nine (e.g., twenty-one thirtieths).
  • When a fraction acts as either an adjective or an adverb to modify another word (e.g., They got a three-quarter share).

So make sure to look out for these cases, even if you’re not hyphenating fractions elsewhere! And if you would like any extra help to make sure your writing is error free, why not submit a document for proofreading?

Comments (7)
manroop
2nd March 2021 at 23:26
Thank you
angelfire
3rd August 2021 at 17:22
When using a fraction in a sentence, is it correct to add "th" or "rd" after the numeral? Ex: "Bob's on his third year of offering a limited edition 1/64th scale special event car."
    Proofed
    4th August 2021 at 09:21
    Hi, Angelfire. Since you're discussing scales, do you mean when using a ratio in a sentence? Assuming you're not using a specific style guide, then it would largely be a matter of preference as long as your meaning is clear. However, most style guides I'm aware of suggest writing ratios with a colon between the numbers and no suffix (e.g., "1:64 scale").
Andrew Robbins
28th October 2021 at 00:42
I'm interested to hear peoples thoughts on putting a space, no space or a hyphen between the whole number and the fraction for mixed numbers. e.g. 1 ½ OR 1½ OR 1-½ Although it is slightly harder to read, I favor 1½, what do you think? Andrew.
    Proofed
    28th October 2021 at 09:45
    Some style guides have requirements on this: e.g., Chicago style doesn't space fractions and whole numbers (so "1½" would be correct in Chicago style), but AP style does (so "1 ½" would be correct in AP style). Otherwise, either spaced or unspaced should be fine as long as it is clear. Nobody uses the hyphenated form to the best of my knowledge, though (possibly because a hyphen looks quite similar to a minus sign, so using it alongside numerals could be confusing).
Peggy.Robinson
7th September 2022 at 22:18
Do you need to add a hyphen between the whole number and the first number of the fraction in medical reports (2-1/2) or can you leave it out (2 1/2)? I think without the hyphen it could be misinterpreted.
    Proofed
    9th September 2022 at 13:10
    Hi, Peggy! On an online search, it seems that typing mixed fractions such as this without the space is more common, and without a hyphen (a hyphen could be confused with a minus symbol). I see most frequently that the form “2½” is used in a medical context, but it would depend on if you are following a style guide or organizational preference, and, as we mention in our response to the question above, some style guides prefer a space and others don’t. The main thing is that what you’ve written is clear and is used consistently throughout the document. For a guide to typing fractions in Word, we have a helpful blog article here - How to Type Fractions in Microsoft Word.

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