Fractions in Real Life: Multiplying & Solving

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Fractions in Real Life: Multiplying & Solving

What are Fractions?

Fractions are numbers that show parts of a whole. For example, 1/2 means one out of two parts.

What do you already know about multiplying fractions?

Learning Objective

At the end of the lesson you will be able to multiply fractions and solve simple word problems using fractions.

Parts of a Fraction

A fraction has a numerator (top number) and a denominator (bottom number).

Fractions in Everyday Life

Multiplying Fractions: The Basics

To multiply fractions, multiply the numerators together and the denominators together.

Example: 1/2 × 1/3

1 × 1 = 1 (numerators). 2 × 3 = 6 (denominators). So, 1/2 × 1/3 = 1/6.

Why Multiply Fractions?

You multiply fractions when you want to find a part of a part. For example, half of a third.

Step-by-Step Example

Step 1

Multiply the numerators: 2 × 3 = 6

Multiply the denominators: 5 × 4 = 20

Step 2

So, 2/5 × 3/4 = 6/20

This means multiplying two fractions makes a smaller part.

When to Simplify Fractions

If the answer can be written in smaller numbers, simplify it. For example, 6/20 = 3/10.

Word Problems: Where We Use Fractions

Word problems help us understand real life uses of multiplying fractions, like sharing food.

Example Word Problem

Anna ate 1/2 of a chocolate bar. She shared 1/3 of her piece with Sam. How much of the whole bar did Sam get?

Solving the Problem

Step 2

Multiply 1/2 by 1/3: 1 × 1 = 1

2 × 3 = 6. Sam gets 1/6 of the whole bar.

Step 1

Class Discussion

Discuss: Where do you use fractions in your life? When might you need to multiply them? Share with the class.

Try It Together

Let’s solve a word problem on the whiteboard together using fractions. Everyone can join in!

Assignment

Solve two word problems using fraction multiplication. Show your steps and draw a picture to go with your answer.

Key Tips for Multiplying Fractions

Remember to multiply across, and simplify your answer if you can!

Let’s Review!

What Did You Learn?

Tell your partner two things you learned about multiplying fractions and word problems today.

Great Work Today!

You are becoming a fractions superstar! Keep practising and have fun with maths!

Write down 3 things you learned in this lesson.

Write down 2 things you want to know more about.

Ask 1 question about something you haven't quite understood yet.