Mermaid maths quest: fractions

Quick answer

Fractions are parts of a whole, and in the Mermaid Maths Quest, you'll learn to split shells, treasure, and maps into equal parts using simple fractions like 1/2, 1/4, and 1/3.

Learning outcome

By the end of this page, you will be able to split objects or amounts into equal parts and show these parts as fractions.

• You can identify when something is split into equal parts
• You can draw or model fractions using shells, food, or shapes
• You can name fractions like one-half, one-quarter, and one-third
• You can compare simple fractions using real-life examples

Why this matters

Fractions help us share things fairly. In the underwater world of the Mermaid Maths Quest, you’ll need fractions to split treasure, share food, and read maps. Fractions are used in cooking (splitting a cake), sports (scoring a goal), and even in games (dividing your points). Understanding fractions helps you be fair and solve problems in real life.

How it works

Fractions are split into two parts:

1. The top number (numerator) tells how many parts you have
2. The bottom number (denominator) tells how many equal parts the whole is split into

For example, if you have a pizza and split it into 4 equal pieces, and you take 1 piece, you have 1/4 of the pizza.

Examples you can see

Imagine you are a mermaid and you find a treasure chest with 12 pearls. You want to share them equally with 3 friends. How many pearls does each friend get?

• Total pearls = 12
• Number of friends = 4 (including you)
• Each friend gets = 12 ÷ 4 = 3 pearls
• So each friend gets 3/12 of the pearls

But wait! You can simplify this fraction. 3/12 is the same as 1/4 because 3 is one quarter of 12.

Another example: You have a shell map and you want to split it into 3 equal parts. Each part is 1/3 of the map.

Try it as a mini adventure

Mermaid Maths Quest: The Pearl Sharing Challenge

You are a mermaid exploring the coral reef. You find a pile of 10 shiny shells. You want to share them equally between you and your 2 best mermaid friends.

1. How many shells will each of you get?
2. What fraction of the shells does each of you have?
3. Draw or model your shells and show how you split them into equal parts.

4th time: You find 8 more shells. Now how many shells do you each get?

5th time: You want to make a necklace with 1/2 of your shells. How many shells will you use?

Common mistakes

• Mistake: Thinking that 1/3 and 1/4 are the same because they both have a 1 on top.
• Why it happens: Children often focus only on the top number and forget that the bottom number shows how many parts the whole is split into.
• Fix: Use visual models like dividing a pizza or drawing shapes to show that 1/3 means one part out of three equal parts, and 1/4 means one part out of four equal parts.

• Mistake: Thinking that 1/2 of 6 is 3, but 1/3 of 6 is 2, so 1/2 must be smaller than 1/3.
• Why it happens: Confusion between the size of the fraction and the size of the result.
• Fix: Use objects like counters or blocks to show that 1/2 of 6 means splitting 6 into 2 equal parts, so each part is 3. 1/3 of 6 means splitting 6 into 3 equal parts, so each part is 2.

• Mistake: Not recognizing that 2/4 is the same as 1/2.
• Why it happens: Children don’t yet understand that fractions can be simplified.
• Fix: Use visual aids like circles or rectangles divided into equal parts. Show that 2 out of 4 equal parts is the same as 1 out of 2 equal parts.

Parent and carer guide

Help your child understand fractions by:

• Using everyday objects like food, blocks, or coins to show how to split things into equal parts
• Encouraging your child to draw or model fractions with shapes or counters
• Playing fraction games like “Who has more?” using visual comparisons
• Asking questions like, “If we split this cake into 4 pieces and you take 1, what fraction is that?”
• Not rushing to teach fraction symbols; let your child explore sharing and parts first

Watch out for: Don’t assume your child understands that the bigger the bottom number, the smaller each part is. This is a common misconception. Use visual models to help them see the relationship.

Practice questions

1. If you have 8 shells and split them into 2 equal parts, how many shells are in each part?
2. What fraction of the shells is one part?
3. If you split 12 fish into 3 equal groups, how many fish are in each group?
4. What fraction of the fish is one group?
5. You have 10 coins and split them into 5 equal parts. How many coins are in each part?
6. What fraction of the coins is one part?
7. Draw a circle and split it into 4 equal parts. Shade 1 part. What fraction is shaded?
8. Draw a rectangle and split it into 3 equal parts. Shade 2 parts. What fraction is shaded?
9. How many equal parts are in 1/4 of 12?
10. What is 1/3 of 15?

Answers:

1. 4 shells
2. 1/2
3. 4 fish
4. 1/3
5. 2 coins
6. 1/5
7. 1/4
8. 2/3
9. 3
10. 5

FAQ

What is a fraction?

A fraction is a way to show part of a whole. For example, if you eat 1 slice of a pizza that is cut into 8 slices, you have eaten 1/8 of the pizza.

How do I know if parts are equal?

Equal parts are the same size. You can check by measuring or by placing the parts on top of each other to see if they match exactly.

Can I use fractions with anything?

Yes! Fractions can be used with anything that can be split into equal parts, like food, shapes, time, or money.

How can I practice fractions at home?

You can practice by sharing snacks, cutting fruit into equal parts, or using fraction manipulatives like fraction circles or bars.

Why do we need to learn fractions?

Fractions help us share fairly, measure things, and understand how parts relate to a whole. They are used in cooking, science, art, and everyday life.