# Fraction Tiles

Canonical: https://manipulatives.org/manipulatives/fraction-tiles/

Equal-length wholes partitioned into fraction strips for comparing, composing, and ordering fractions.

![Aligned fraction strips showing a whole, halves, thirds, and quarters](https://manipulatives.org/_astro/fraction-tiles.e4GUhQVI.svg)

Published: 2026-10-09
Reviewed: 2026-10-09

Topics: fractions, operations

## What they teach

### Unit fractions

Compare the lengths of one half, one third, one fourth, and other equal parts.

### Equivalence

Line up different combinations that reach the same endpoint.

### Fraction sums

Join pieces end to end while keeping the whole length fixed.

## How to use them

1. **Align the wholes.** Check that each fraction family builds the same total length.

2. **Match an endpoint.** Place two quarter tiles beneath a half tile, with their left ends aligned.

3. **Record the relationship.** Name the lengths represented and write an equality such as 2/4 = 1/2.

## Try an activity: Reach three quarters

Mark the endpoint of three quarter tiles. Find other combinations that reach that point exactly. Explain each solution using the same whole strip.

## Alignment makes the comparison meaningful

Put the left ends of the pieces at the same starting point and remove gaps between tiles. Equal endpoints then show equal total lengths. Pieces scattered across a table can be useful for sorting, but they do not yet provide a reliable length comparison.

The denominator describes the number of equal parts in a whole. With a fixed whole, dividing it into more equal parts produces smaller individual pieces. One eighth is therefore shorter than one fourth even though eight is the larger whole number.

A complete set contains only some denominators. Failure to fill a target exactly with the available pieces does not prove the target is impossible to express. Draw a corresponding [number line](https://manipulatives.org/manipulatives/number-lines/) when you want to explore fractions that the kit does not include.

## Choose your toolkit

Check which denominators are included, whether pieces share a common whole length, and whether labels are printed. A storage tray can align pieces but may limit rearrangement.

- [hand2mind Plastic Rainbow Fraction Tiles (51 pieces)](https://www.amazon.com/dp/B016DU8QTC) — Fifty-one plastic tiles in nine colors represent a whole through twelfths. Align the proportional lengths to compare fractions and build equivalent amounts.

### Manipulatives app

The tile view supports comparisons of fractional lengths. Keep a common whole and align the starting points before comparing pieces or combinations.

[Explore the app](https://apps.apple.com/us/app/manipulatives-hands-on-math/id6780701668)

## Related tools

- [Fraction Circles](https://manipulatives.org/manipulatives/fraction-circles/)
- [Number Lines](https://manipulatives.org/manipulatives/number-lines/)
- [Cuisenaire Rods](https://manipulatives.org/manipulatives/cuisenaire-rods/)