Fractions

  • Recurring Mean
    problem

    Recurring Mean

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    What is the mean of 1.2 recurring and 2.1 recurring?

  • Fractions of 1000
    problem

    Fractions of 1000

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    Find a simple way to compute this long fraction.

  • Not Continued Fractions
    problem

    Not Continued Fractions

    Age
    14 to 18
    Challenge level
    filled star empty star empty star

    Which rational numbers cannot be written in the form x + 1/(y + 1/z) where x, y and z are integers?

  • All tangled up
    problem

    All Tangled Up

    Age
    14 to 18
    Challenge level
    filled star filled star empty star

    Can you tangle yourself up and reach any fraction?

  • Look before you leap
    problem

    Look Before You Leap

    Age
    16 to 18
    Challenge level
    filled star empty star empty star

    Relate these algebraic expressions to geometrical diagrams.

  • A Swiss sum
    problem

    A Swiss Sum

    Age
    16 to 18
    Challenge level
    filled star empty star empty star

    Can you use the given image to say something about the sum of an infinite series?

  • Can it be?
    problem

    Can It Be?

    Age
    16 to 18
    Challenge level
    filled star filled star empty star

    When if ever do you get the right answer if you add two fractions by adding the numerators and adding the denominators?

  • Modular Fractions
    problem

    Modular Fractions

    Age
    16 to 18
    Challenge level
    filled star filled star filled star

    We only need 7 numbers for modulus (or clock) arithmetic mod 7 including working with fractions. Explore how to divide numbers and write fractions in modulus arithemtic.

  • History of Fractions
    article

    History of Fractions

    Who first used fractions? Were they always written in the same way? How did fractions reach us here? These are the sorts of questions which this article will answer for you.