Equal parts and unit fractions, step by step

A shape cut into four equal pieces has quarters in it, whether or not anybody colors one in.

The question
=

This shape is cut into 2 equal parts. What is one part worth?

One equal part

pieces in all:2
1 pieceout of2
1 part=
  1. Count the pieces the shape was cut into: 2. Nothing is shaded here — the cutting is the whole question.
  2. They are all the same size, so each one is 1 piece out of 2. That word "equal" is what makes it work — 2 pieces of different sizes would have no single answer.
  3. One piece is a half: 1/2.

How it works.

  1. 01

    Count the pieces the shape was cut into: 2. Nothing is shaded here — the cutting is the whole question.

  2. 02

    They are all the same size, so each one is 1 piece out of 2. That word "equal" is what makes it work — 2 pieces of different sizes would have no single answer.

  3. 03

    One piece is a half: 1/2.