# Tangles — Fractions Puzzle | Mathallery

Source: https://mathallery.com/games/tangles/

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# Tangles

Fractions · 30 levels

Twist and turn two ropes. Their tangle is a fraction!

## How to play

- Four dancers hold two ropes. Twist: the bottom two swap places, so the tangle number goes x → x + 1.
- Turn: everyone steps one corner round, so x → −1/x. Untangled ropes )( are 0; ropes = are ∞.
- Dance the tangle number to the goal using exactly the moves shown, the fewest possible.

Conway's trick to untangle: if the number is negative, Twist; if it is positive, Turn. To build a fraction, work backwards from it.

[Open Tangles](https://mathallery.com/#/play/tangles/1)

Teeter, Tint and Echo Heist are free starters. Other games unlock through earned game choices or permanent packs. Your progress stays in the browser; optional sign-in saves it to your website account.