Lesson 1.9: Fractions – Equivalent, Improper & Mixed Numbers | SEA Mathematics | My Carib Academy
SEA 2025-2028 Framework Aligned

🍕 Lesson 1.9: Fractions – Equivalent, Improper & Mixed Numbers

Master representing fractions, equivalent fractions, improper fractions and mixed numbers. This lesson covers SEA Mathematics Objectives 44-47, 49-51 from the Number Strand.

55 Minutes
Module 1: Number
Objectives 44-47, 49-51
2 Videos
Lesson Progress 0%

Previous Lesson

Did you complete Lesson 1.8? Review Algebra & Estimation →

Learning Objectives

By the end of this lesson, you will be able to:

  • Represent fractions using diagrams and number lines (Objectives 44-45)
  • Find and create equivalent fractions (Objectives 46-47)
  • Convert between improper fractions and mixed numbers (Objectives 49-51)
  • Simplify fractions to lowest terms

SEA Tip

Fraction questions appear in Section I, II, and III of the SEA Math paper. These are essential for all fraction operations! (SEA Framework Page 21-22)

Watch: Equivalent Fractions

Start by watching this video to learn about equivalent fractions. Take notes as you watch! 📝

Equivalent Fractions – Mathematics Video Lesson

Quick Check

Did you understand the video? Review the notes below before continuing! ✅

Representing & Equivalent Fractions

A fraction represents a part of a whole. The top number is the numerator and the bottom number is the denominator.

Fraction Parts

  • Numerator (top): How many parts you have
  • Denominator (bottom): How many parts make one whole
  • Example: 3/4 means 3 parts out of 4 equal parts

🔑 What are Equivalent Fractions?

Definition

Equivalent fractions are different fractions that represent the SAME value or amount.

Example: 1/2 = 2/4 = 3/6 = 4/8 (all represent half of a whole)

📋 How to Find Equivalent Fractions:

Two Methods
  1. Multiply: Multiply BOTH numerator and denominator by the SAME number
  2. Divide: Divide BOTH numerator and denominator by the SAME number (to simplify)

📊 Example 1: Finding Equivalent Fractions

Multiply to Find Equivalents

Problem: Find 2 equivalent fractions for 1/3

Solution:

  1. Multiply by 2: (1×2)/(3×2) = 2/6
  2. Multiply by 3: (1×3)/(3×3) = 3/9
  3. Check: 1/3 = 2/6 = 3/9 ✓

Answer: 2/6 and 3/9

📊 Example 2: Simplifying Fractions

Divide to Simplify

Problem: Simplify 8/12 to lowest terms

Solution:

  1. Find common factor: Both 8 and 12 can be divided by 4
  2. Divide both: (8÷4)/(12÷4) = 2/3
  3. Check: 2 and 3 have no common factors ✓

Answer: 2/3

Common Mistake

When finding equivalent fractions, you MUST multiply or divide BOTH the numerator AND denominator by the SAME number!

Watch: Improper & Mixed Fractions

Now watch this video to learn how to convert between improper fractions and mixed numbers. Pay attention to the steps! 🎯

Improper Fractions & Mixed Numbers – Mathematics Video Lesson

Improper Fractions & Mixed Numbers

There are three types of fractions you need to know for the SEA exam!

🔑 Three Types of Fractions:

Fraction Types

  • Proper Fraction: Numerator is SMALLER than denominator (e.g., 3/4)
  • Improper Fraction: Numerator is LARGER than or equal to denominator (e.g., 7/4)
  • Mixed Number: A whole number AND a fraction (e.g., 1¾)

📋 Converting Improper Fractions to Mixed Numbers:

Step-by-Step Method
  1. Divide: Divide the numerator by the denominator
  2. Whole number: The answer (quotient) is your whole number
  3. Remainder: The remainder becomes the new numerator
  4. Denominator: Stays the SAME

📊 Example 3: Improper to Mixed Number

Convert 7/4 to Mixed Number

Problem: Convert 7/4 to a mixed number

Solution:

  1. Divide: 7 ÷ 4 = 1 remainder 3
  2. Whole number: 1
  3. Remainder: 3 (becomes numerator)
  4. Denominator: 4 (stays the same)
  5. Answer: 1¾

Answer: 1¾

📋 Converting Mixed Numbers to Improper Fractions:

Step-by-Step Method
  1. Multiply: Multiply the whole number by the denominator
  2. Add: Add the numerator to this product
  3. New numerator: This sum is your new numerator
  4. Denominator: Stays the SAME

📊 Example 4: Mixed Number to Improper

Convert 2⅓ to Improper Fraction

Problem: Convert 2⅓ to an improper fraction

Solution:

  1. Multiply: 2 × 3 = 6
  2. Add: 6 + 1 = 7
  3. New numerator: 7
  4. Denominator: 3 (stays the same)
  5. Answer: 7/3

Answer: 7/3

Memory Trick

Improper → Mixed: DIVIDE (top ÷ bottom)
Mixed → Improper: MULTIPLY then ADD (whole × bottom + top)

Quick Quiz

Test your understanding! Select an answer for each question. 🍕

6 Questions
12 Minutes
70% to Pass

1. Which fraction is equivalent to 1/2?

2. Simplify 6/9 to lowest terms

3. Convert 7/3 to a mixed number

4. Convert 3⅖ to an improper fraction

5. What type of fraction is 9/4?

6. Find the missing number: 2/5 = ?/15

0/6

Lesson Complete!

Great job finishing Lesson 1.9! You’re mastering fractions for the SEA exam! 🎉

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