# Number (fractions): Hungry Caterpillar

## The Problem

Terry, the spiky caterpillar, was busily munching his way through a leaf from the shape tree. As you can see from the picture opposite, the shape tree has unusually-shaped, identical leaves that are divided into triangles of equal size and shape. One morning, **Terry** ate **half** a leaf. That afternoon, he ate a further **quarter** of the original leaf. In the evening, he ate a further **sixth** of the original leaf.

At the same time, **Larry** the smooth caterpillar, was also munching his way through a leaf that belonged to the shape tree. The same morning, Larry ate a **third** of a leaf. In the afternoon, he ate another **third** of the original leaf. In the evening, he ate a further** quarter** of the original leaf.

**Which caterpillar ate the most? **

**Did you know?**

In contrast to the brightly-coloured adult peacock butterfly, its caterpillar is jet-black in colour and covered with small white spots. It has short spines, which help to protect it from predators.

## Visualising the Problem and Getting Started

How many triangles of equal size and shape is each leaf divided into? Why is this important to know?

Qaali said, “To find half a leaf, I would divide 24 into 2 equal groups.” Do you agree with Qaali?