Question 2 of 22beginner🔧 ApplyFill in the Blanks2 marks

Give 3 ratios that are proportional to 4 : 9. ____ : ____ ____ : ____ ____ : ____

Correct Answer

8 : 18, 12 : 27, 20 : 45 (or any three ratios obtained by multiplying both terms of 4:9 by the same factor)

Exercise: Figure it Out (Section 1) | Q: 2 | (Page Page 7)
For More Understanding

Explanation

Ratios proportional to 4:9 can be obtained by multiplying both terms by the same factor. For example: multiplying by 2 gives 8:18, multiplying by 3 gives 12:27, multiplying by 5 gives 20:45. All these ratios simplify to 4:9 in their simplest form.

Solution Steps

  1. Step 1: To find ratios proportional to 4:9, multiply both terms by the same factor.

  2. Step 2: Multiplying by 2: 4×24 \times 2 : 9×29 \times 2 = 8 : 18

  3. Step 3: Multiplying by 3: 4×34 \times 3 : 9×39 \times 3 = 12 : 27

  4. Step 4: Multiplying by 5: 4×54 \times 5 : 9×59 \times 5 = 20 : 45

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