Practice the questions given in the worksheet on ratio in lowest term. We know two or more quantities compared in a ratio must have the same units of measurement. So, the ratios have no unit. Then a ratio is expressed in its lowest term.

**1. Find the ratio of the following in the simplest form:**

(i) 2 dozens to 3 scores

(ii) 1 kg 200g and 1 kg 800g

(iii) 864 and 60

(iv) 1 .5 kg yo 15 g

(v) x\(^{2}\) + 2x + 1 and x\(^{2}\) - x -2

**2. Find the ratio of the following in the simplest form:**

(i) 40 ml to 2.4 l

(ii) 2\(\frac{1}{2}\) hours to 50 minutes

(iii) $ 1.40 and 67 cents

(iv) a\(^{3}\) + b\(^{3}\) and a\(^{2}\) - b\(^{2}\)

**3. Simplify the following ratios:**

(i) 3\(\frac{1}{3}\) : 2\(\frac{1}{2}\)

(ii) 2.5 : 6.5

(iii) 2\(\frac{1}{5}\) : 1\(\frac{2}{15}\) : \(\frac{3}{10}\)

Answers for the worksheet on ratio in lowest term are given below.

**Answers:**

**1.** (i) 2 : 5

(ii) 2 : 3

(iii) 72 : 5

(iv) 100 : 1

(v) (x + 1) : (x - 2)

**2.** (i) 1 : 60

(ii) 3 : 1

(iii) 7 : 3

(iv) (a\(^{2}\) - ab + b\(^{2}\)) : (a - b)

**3.** (i) 4 : 3

(ii) 5 : 13

(iii) 66 : 34 : 9

● **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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