Write an equivalent ratio
Key notes:
🌈 What is a Ratio?
- A ratio compares two quantities.
- It can be written in three ways:
👉 2 : 3, 2 to 3, 2/3
🔁 What is an Equivalent Ratio?
- Equivalent ratios show the same comparison, even though the numbers are different.
- They are like fractions that look different but have the same value 😊
👉 Example:
- 2 : 4 = 4 : 8 = 6 : 12
✖️ How to Write an Equivalent Ratio (Multiply)
- Multiply both parts of the ratio by the same number 🔢
✨ Example:
- Original ratio: 3 : 5
- Multiply both numbers by 2
- 👉 3 × 2 : 5 × 2 = 6 : 10
➗ How to Write an Equivalent Ratio (Divide)
- Divide both parts of the ratio by the same number ✂️
✨ Example:
- Original ratio: 10 : 20
- Divide both numbers by 10
- 👉 1 : 2
⚖️ Important Rule to Remember
- ✔️ Always multiply or divide both numbers by the same number
- ❌ Never change only one number
🎯 Quick Check Tip
- If two ratios can be simplified to the same form, they are equivalent 👍
Example:
- 4 : 6 → 2 : 3
- 8 : 12 → 2 : 3
✔️ So, they are equivalent ratios 🎉
🧠 Real-Life Example
- If 2 apples cost ₹10, then
- 4 apples cost ₹20 🍎🍎
👉 2 : 10 = 4 : 20 (Equivalent ratios!)
⭐ Key Takeaway
- Equivalent ratios = Same relationship, different numbers
- Multiply or divide both parts equally to find them 🔄
Learn with an example
▶️ Find the number that makes the ratio equivalent to 1:4.
8: ___
Complete the ratio 8: ___ so that it is equivalent to 1:4.The second number is missing from 8: ____. So, compare the first numbers of the two ratios.
1:4
8: ___
To get 8 from 1, multiply by 8.
So, to get ____ from the second number in 1:4, multiply by 8.
4 . 8 = 32
This means 8:32 and 1:4 are equivalent ratios.
▶️ Find the number that makes the ratio equivalent to 1:3.
9: _____
Complete the ratio 9: ____ so that it is equivalent to 1:3.The second number is missing from 9:____. So, compare the first numbers of the two ratios.
1:3
9: ___
To get 9 from 1, multiply by 9.
So, to get ___ from the second number in 1:3, multiply by 9.
3 . 9 = 27
This means 9:27 and 1:3 are equivalent ratios.
▶️ Find the number that makes the ratio equivalent to 1:2.
6: __
Complete the ratio 6: ___ so that it is equivalent to 1:2.
The second number is missing from 6: ___. So, compare the first numbers of the two ratios.
1:2
6: ____
To get 6 from 1, multiply by 6.
So, to get ______ from the second number in 1:2, multiply by 6.
2 . 6 = 12
This means 6:12 and 1:2 are equivalent ratios.
let’s practice! 🖊️

