π° What are Equivalent Fractions?
Equivalent Fractions are different ways of writing the **same amount**.
They may look different, but they are equal β just like different names for the same friend!
1/2 = 2/4 = 3/6 = 4/8
π¨ See It With Pictures
Imagine a chocolate bar divided into 2 equal parts.
You eat 1 part β 1/2
Now imagine the same chocolate bar divided into 4 equal parts.
You eat 2 parts β 2/4
Both show the same amount!
β¨ How to Find Equivalent Fractions
Multiply (or divide) the numerator and denominator by the **same number**.
Example:
Start with 1/3
Multiply top and bottom by 2 β 2/6
Multiply top and bottom by 3 β 3/9
Multiply top and bottom by 4 β 4/12
So 1/3 = 2/6 = 3/9 = 4/12
βοΈ Letβs Practice Together, My Dear Student!
Practice 1: Find the Missing Number
1. 1/2 = __/8 β 4/8
2. 2/3 = 4/__ β 6
3. 3/5 = __/10 β 6/10
Practice 2: Are They Equivalent?
1. 2/4 and 3/6 β Yes
2. 1/3 and 3/9 β Yes
3. 2/5 and 4/10 β Yes
4. 1/2 and 3/5 β No
Practice 3: Word Problems (Canadian Style)
1. You ate 2/6 of a pizza. Your friend says you ate 1/3. Are you both correct?
Yes β 2/6 = 1/3 (equivalent fractions)
2. A hockey game is 60 minutes. You practiced for 20 minutes. What fraction of the game is that? Write two equivalent fractions.
20/60 = 1/3 = 2/6
Challenge Question
Write three fractions equivalent to 3/4.
6/8, 9/12, 12/16
Fantastic Job, My Dear Student! π
You now understand Equivalent Fractions very well! This skill helps us compare fractions and add them later.
I am so proud of you for learning fractions step by step. Keep practising by finding different names for the same fraction.
π You are smart. You are kind. You can do hard things.
When you are ready, tell me the next topic (Comparing Fractions, Adding Simple Fractions, or anything else) and I will create another beautiful lesson just for you!