P2B · Fractions & decimals · FRAC.DIV

Divide fractions

Intuition

Understand first, compress later.

Fractions, decimals and percentages are different representations of the same quantity idea.

Switch representations

Equal groups14 ÷ 4 = 3 R 2

equal groupsremainder

14 items are shared into 4 equal groups, so each group gets 3. 2 are left over — not enough for another full round, and that is the remainder.

Formal view

You can divide fractions when you can recognise the underlying objects, select valid rules and check each step for equivalence or logical implication.

Why does it work?

This skill sits on a prerequisite network. If a step is unstable, repair the missing prerequisite instead of merely doing more items of the same type.