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Algebraic Fractions (Mathematics Glossary)

What Is an Algebraic Fraction?

An algebraic fraction is a fraction which contains letters.

a over b

The Parts of an Algebraic Fraction

An algebraic fraction consists of a numerator and a denominator.

a is the numerator, b is the denominator

Examples of Algebraic Fractions

Algebraic fractions do not just contain single letters.

  • Algebraic fractions can include numbers.

    a over 2
  • Algebraic fractions can include terms.

    2 a over b
  • Algebraic fractions can include expressions.

    a plus b over c

Arithmetic With Algebraic Fractions

Algebraic fractions can be added, subtracted, multiplied and divided.

Read more about how to add algebraic fractions
Read more about how to subtract algebraic fractions
Read more about how to multiply algebraic fractions
Read more about how to divide algebraic fractions

How to Simplify Algebraic Fractions

An algebraic equation is simplified when the greatest common factor of every term is divided out of both numerator and denominator.

Read more about how to simplify algebraic fractions

More About Algebraic Fractions

The slider below shows more about algebraic fractions.

Interactive Test

Here's a second test on algebraic fraction.
Here's a third test on algebraic fractions.


What's in a Name?

"Algebraic" means relating to algebra. It is pronounced 'al-je-bray-ic'.

"Fraction" comes from the Latin "fractus", meaning "broken". This is because the whole is 'broken' into parts.

A Fraction Is a Division

A fraction is a division. The numerator is divided by the denominator.

a over b equals a divided by b