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# 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?