Equal parts and unit fractions worksheets

A shape cut into four equal pieces has quarters in it, whether or not anybody colors one in. These free printable worksheets shade nothing at all: the cutting is the whole question, and the answer is what one piece is worth.

Equal parts and unit fractions
Equal parts and unit fractions worksheet — 2 to 6 equal parts, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

Nothing is shaded, and that is the difference between this page and the one next to it. Shade a piece and the question becomes “what fraction is shaded” — the same paper with the top number fixed at one. With the shape left plain there is no piece to point at, so the only way through is to read the cutting: six equal pieces means each one is a sixth.

Why this sheet works

The answer is always a unit fraction, and that is the grade’s point rather than a simplification. 1/6 is the quantity a third-grader is meeting for the first time, and every other fraction is built out of copies of it — 5/6 is five of them. A child who can name one piece can name the rest.

How this one works

One equal part

pieces in all:6
1 pieceout of6
1 part=
  1. Count the pieces the shape was cut into: 6. 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 6. That word "equal" is what makes it work — 6 pieces of different sizes would have no single answer.
  3. One piece is a sixth: 1/6.