Equivalent fractions
key notes :
🟣 What Are Equivalent Fractions?
Equivalent fractions are different fractions that represent the same value or the same part of a whole.
👉 Example: 1/2 = 2/4 = 3/6 🍰
🔵 How to Check If Fractions Are Equivalent
✔️ Method 1: Multiply or Divide 🔢
If you multiply or divide the numerator and denominator by the same number, the fraction stays equal.
✨ Example:
- 1/3 × 2/2 = 2/6
- 4/5 ÷ 2/2 = 2/5
🟢 Cross Multiplication Trick ✖️
To check if two fractions are equivalent:
👉 Multiply numerator of one × denominator of the other.
👉 If both products are equal → fractions are equivalent.
✨ Example:
2/3 ?= 4/6
2 × 6 = 12
3 × 4 = 12
✔️ Both are same → Equivalent! 🎉
🟡 Use Models or Pictures 🎨
Drawing shapes helps students see equivalence.
🟦 Shade 1/2 of a rectangle
🟦 Shade 2/4 of another
Both look the same → Equivalent! 🖼️💡
🔴 Simplest Form Helps
Sometimes fractions look different, but reducing them helps show they’re the same.
👉 Example:
6/8 → divide by 2 → 3/4
So, 6/8 and 3/4 are equivalent! 👍
🟤 Fractions Can Grow or Shrink
Multiply → Fraction gets bigger numbers, but same value ⬆️
Divide → Fraction gets smaller numbers, but same value ⬇️
This is how we create equivalent fractions!
🌈 Real-Life Examples
🍕 Cutting a pizza into 2 big slices or 4 small slices → still the same amount!
🌮 Half a taco = 2 out of 4 equal parts = same!
⭐ Why Learn Equivalent Fractions?
It helps in:
✔️ Adding fractions ➕
✔️ Comparing fractions 🔍
✔️ Simplifying fractions ✨
✔️ Understanding ratios and decimals
Learn with an example
😐 Which fractions are equivalent to 3/4 ?
Hint: There may be more than one.
- 4/6
- 9/12
- 6/8
- 7/10
You can use number lines. First show 3/4 ,
9/12 and 6/8 are equivalent to 3/4 .
😐 Which fraction is equivalent to 3/6 ?
- 1/2
- 4/7
- 5/8
- 7/12
You can use number lines. First show 3/6 .
1/2 is equivalent to 3/6 .
😐 Which fractions are equivalent to 6/8 ?
- 5/6
- 3/4
- 7/11
- 9/12
You can use number lines. First show 6/8 .
3/4 and 9/12 are equivalent to 6/8 .
Let’s practice!
