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Relate these algebraic expressions to geometrical diagrams.

Modular Fractions

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.

All Tangled Up

Can you tangle yourself up and reach any fraction?

Can it Be?

Age 16 to 18 Challenge Level:

When, if ever, is $${a\over b} + {c\over d} = {a+c\over b+d}$$ where $a$ and $b$ have no factors in common and $c$ and $d$ have no factors in common?
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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