Practice the questions given in the worksheet on comparison on ratios. We know to compare two ratios we need to convert them into equivalent like fractions.

1. Which ratio is the greater 17 : 21 or 23 : 28?

2. Which of the following ratios is greater?

(i) 3 : 5 and 2 : 11

(ii) 2\(\frac{1}{2}\) : 3\(\frac{3}{4}\) and 1\(\frac{1}{2}\) : 1\(\frac{5}{6}\)

3. Write the following ratios in ascending order.

(i) 2 : 3, 7 : 12 and 13 : 19

(ii) 4 : 13, 12 : 19 and 14 : 25

4. Arrange the following ratios in descending order of magnitude

2 : 3, 8 : 15, 11 : 12 and 7 : 16

5. If a > x > 0, prove that (a\(^{2}\) - x\(^{2}\)) : (a\(^{2}\) + x\(^{2}\)) > (a - x) : (a + x)

6. If a and b are unequal quantities of the same sign, which of the two ratios (a\(^{2}\) + b\(^{2}\)) : (a\(^{3}\) + b\(^{3}\)) and (a + b) : (a\(^{2}\) + b\(^{2}\)) is greater?

Answers for the worksheet on comparison on ratios are given below.

**Answers**

1. 23 : 28 is greater than 17 : 21.

2. (i) 3 : 5

(ii) 1\(\frac{2}{3}\) : 1\(\frac{5}{6}\)

3. (i) 7 : 12, 2 : 3, 13 : 19

(ii) 4 : 13, 14 : 25, 12 : 19

4. 11 : 12, 2 : 3, 8 : 15 and 7 : 16

6. (a + b) : (a\(^{2}\) + b\(^{2}\))

● **Ratio and proportion**

**Basic Concept of Ratios****Important Properties of Ratios****Ratio in Lowest Term****Types of Ratios****Comparing Ratios****Arranging Ratios****Dividing into a Given Ratio****Divide a Number into Three Parts in a Given Ratio****Dividing a Quantity into Three Parts in a Given Ratio****Problems on Ratio****Worksheet on Ratio in Lowest Term****Worksheet on Types of Ratios****Worksheet on Comparison on Ratios****Worksheet on Ratio of Two or More Quantities****Worksheet on Dividing a Quantity in a Given Ratio****Word Problems on Ratio****Proportion****Definition of Continued Proportion****Mean and Third Proportional****Word Problems on Proportion****Worksheet on Proportion and Continued Proportion****Worksheet on Mean Proportional****Properties of Ratio and Proportion**

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