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Maths Adventures

Sailing maths quest: fractions

A story-led junior maths adventure using maps, bearings and voyage planning to split food, maps and treasure into equal parts.

Quick answer

Fractions are parts of a whole, and when you're sailing, you need to split things like food, treasure, and maps into equal parts so everyone gets a fair share.

Learning outcome

By the end of this page, you will understand how to split things into equal parts and use fractions to share food, treasure, and maps fairly with your sailing crew. Success signs:
  • You can divide a pizza or a cake into equal slices
  • You can explain what one-half or one-quarter means
  • You can share 12 cookies among 4 friends so everyone gets the same amount
  • You can understand that 1/4 means one part out of four equal parts

Why this matters

When you're on a sailing adventure, you need to make sure everyone gets their fair share of food, water, and treasure. If you don't know how to split things into equal parts, your crew might get upset! Fractions help you make sure everyone gets the same amount, whether it's one-half of a chocolate bar or one-quarter of a treasure map. Fractions are also used in real life for cooking, sharing snacks, planning trips, and even reading maps. When you're sailing, you might need to split a map into sections or divide your water supply so everyone gets enough.

How it works

Fractions are made up of two numbers:
  • The top number (numerator) shows how many parts you have
  • The bottom number (denominator) shows how many equal parts the whole thing is divided into
Let's imagine you have a pie and you want to share it with your friend. If you cut it into 2 equal pieces, each piece is 1/2 of the pie. If you cut it into 4 equal pieces, each piece is 1/4 of the pie. To make equal parts:
  1. Start with the whole thing (like a pizza, cake, or map)
  2. Decide how many equal parts you need (like 2, 4, or 8)
  3. Divide the whole into that many equal pieces
  4. Each piece is one fraction of the whole

Examples you can see

Let's go on a sailing adventure! Example 1: Sharing a treasure map You and your friend find a treasure map that is 12 inches long. You need to split it into 3 equal parts so you can each take a section to read.
  • How many inches is each part? 12 ÷ 3 = 4 inches
  • Each part is 1/3 of the map
Example 2: Splitting food You have 8 cookies to share equally among 4 sailors.
  • How many cookies does each sailor get? 8 ÷ 4 = 2 cookies
  • Each sailor gets 2/8 of the cookies
  • This can be simplified to 1/4 of the cookies
Example 3: Dividing a pie You have a pie and want to share it with 3 friends.
  • If you cut it into 4 equal pieces, each piece is 1/4 of the pie
  • Each of you gets 1/4 of the pie
Example 4: Sailing on a course Your boat is 16 meters long. You need to divide it into 4 equal sections for different crew tasks.
  • Each section is 16 ÷ 4 = 4 meters
  • Each section is 1/4 of the boat

Try it as a mini adventure

Adventure: The Pirate's Fraction Challenge You are captain of a ship and have 12 gold coins to share among your crew of 6 sailors. Your mission is to divide the coins so everyone gets the same amount. Step 1: You have 12 coins and 6 sailors. Step 2: How many coins does each sailor get? 12 ÷ 6 = ? Step 3: Each sailor gets 2 coins. Step 4: What fraction of the total coins does each sailor get? 2/12 = 1/6 Now, you find a treasure map that is 24 inches long. You need to divide it into 3 equal parts for your crew to read. Step 1: The map is 24 inches long. Step 2: How long is each part? 24 ÷ 3 = ? Step 3: Each part is 8 inches long. Step 4: What fraction of the map is each part? 8/24 = 1/3 Step 5: You have 10 pieces of fruit to share equally among 5 crew members. Step 6: How many pieces does each crew member get? 10 ÷ 5 = ? Step 7: Each crew member gets 2 pieces. Step 8: What fraction of the fruit does each crew member get? 2/10 = 1/5

Common mistakes

  • Mistake: Thinking 1/3 is bigger than 1/2 because 3 is bigger than 2. Why it happens: Children often think the bigger number in the fraction means the bigger part. Correct answer: 1/2 is actually bigger than 1/3 because when you split something into 2 parts, each part is larger than when you split it into 3 parts.
  • Mistake: Adding fractions by adding both numerators and denominators. Why it happens: Confusion about what fractions represent. Correct answer: To add fractions with the same denominator, only add the numerators: 1/4 + 2/4 = 3/4
  • Mistake: Thinking that 1/4 means one out of four things. Why it happens: Not understanding that the denominator shows how many equal parts the whole is divided into. Correct answer: 1/4 means one part when the whole is divided into 4 equal parts.
  • Mistake: Not checking that parts are equal when dividing. Why it happens: Rushing through the division process. Correct answer: Always make sure parts are exactly the same size when dividing into fractions.

Parent and carer guide

How to help your child with sailing fractions:
  • Use real objects like fruit, cookies, or toys to show how to split them into equal parts
  • Ask questions like "How many equal parts do we need?" and "What fraction does each part represent?"
  • Play fraction games using food or household items
  • Practice dividing numbers into equal groups to build understanding of fractions
  • Use simple language: "One-half means one out of two equal parts"
  • Encourage your child to draw pictures of fractions to help visualize them
  • Remember that fractions are about sharing fairly, which is a very important life skill
  • Don't worry if your child makes mistakes - they're learning!
  • Reinforce that the bigger the bottom number, the smaller each piece becomes

Practice questions

  1. You have 12 fish to share equally among 3 sailors. How many fish does each sailor get? What fraction of the fish does each sailor get?
  2. You have 16 apples to share equally among 4 crew members. How many apples does each crew member get? What fraction of the apples does each crew member get?
  3. You have 20 pieces of treasure to share equally among 5 crew members. How many pieces does each crew member get? What fraction of the treasure does each crew member get?
  4. You have a map that is 24 inches long. You need to divide it into 6 equal parts. How long is each part? What fraction of the map is each part?
  5. You have 15 cookies to share equally among 3 friends. How many cookies does each friend get? What fraction of the cookies does each friend get?
Answers:
  1. Each sailor gets 4 fish. Each sailor gets 4/12 = 1/3 of the fish.
  2. Each crew member gets 4 apples. Each crew member gets 4/16 = 1/4 of the apples.
  3. Each crew member gets 4 pieces. Each crew member gets 4/20 = 1/5 of the treasure.
  4. Each part is 4 inches. Each part is 4/24 = 1/6 of the map.
  5. Each friend gets 5 cookies. Each friend gets 5/15 = 1/3 of the cookies.

FAQ

What is a fraction?

A fraction is a way to show part of a whole thing. It tells you how many equal parts you have compared to how many equal parts the whole thing is divided into.

How do I know if fractions are equal?

Fractions are equal when they represent the same amount. For example, 2/4 and 1/2 are equal because they both represent half of something.

Why do we need to learn fractions?

Fractions help us share things fairly, understand measurements, and solve problems in cooking, sailing, and many other real-life situations.

What does the bottom number in a fraction mean?

The bottom number (denominator) shows how many equal parts the whole thing is divided into.

How can I practice fractions at home?

You can practice by sharing food, dividing objects into equal groups, or using fraction games and puzzles.