Meaning & use

compound fraction

noun·Academicmathematicstechnical

Last updated

UK/ˌkɒm.paʊnd ˈfræk.ʃən/
US/ˌkɑːm.paʊnd ˈfræk.ʃən/

Meaning

  1. nouncountablemathematicstechnical

    A fraction in which the numerator, the denominator, or both are themselves fractions.

    Grammar: Countable: you can say 'a compound fraction' or 'compound fractions'. It is often written as a complex fraction.

    Patterns

    • a compound fraction of something
    • simplify a compound fraction

    The teacher asked us to simplify the compound fraction (3/4) / (2/5).

    A compound fraction like 1/2 over 3/4 can be rewritten as a simple fraction.

    To divide by a compound fraction, multiply by its reciprocal.

Word forms

pluralcompound fractions

Common combinations

simplify a compound fraction
We learned how to simplify a compound fraction step by step.
a compound fraction of something
The problem involved a compound fraction of a quantity.
rewrite as a simple fraction
You can rewrite the compound fraction as a simple fraction.

Synonyms and how they differ

complex fraction
This is the more common term in higher-level math; 'compound fraction' is often used in school contexts.
fraction of a fraction
This is a plain-English description, not a technical term, and is easier for everyday use.

Opposites

simple fraction

Word family

fraction noun
A number that represents part of a whole, written as one number over another.
compound adjective
Made up of two or more parts.

Commonly confused: compound fraction or mixed number?

compound fraction vs mixed number

A mixed number has a whole number and a fraction, like 2 1/2, while a compound fraction has fractions in the numerator or denominator.

Practice

Which of these is an example of a compound fraction?

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