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! 🖊️