# Worksheet on Ratio in Simplest Form

Practice the questions given in the worksheet on ratio in simplest form. We know, the ratio between two quantities of same kind and in the same units is obtained on dividing one quantity by the other.

1. Express each of the following ratios in simplest form:

 (i) 22 : 66 (ii) 7 : 49 (iii) 4 : 6 (iv) 6 : 15 (v) 14 : 20 (vi) 33 : 44 (vii) 48 : 54 (viii) 200 : 250

2. Convert each of the following ratios in same units and then express in its lowest term:

 (i) 5 kg : 800 gm (ii) 3 cm : 2 m (iii) 3 m : 90 cm (iv) 2 years : 9 months (v) 1 hour : 45 minutes (vi) 4 minutes : 45 seconds (vii) 40 kg : 1 quintal (viii) 10 paise : 1 Rupee (ix) 75 cm : 3 m (x) 200 m : 5 km (xi) 50 min : 1½ hour (xii) 3 hours : 1 day (xiii) 200 g : 1 kilogram (xiv) 6 month : 1$$\frac{1}{3}$$ years
 3. Convert into simple ratio: (i) 1.5 : 2.5 (ii) 6¼ : 12½ (iii) 1½ : 2½ (iv) 3½ : 7 (v) 2$$\frac{1}{3}$$ : 3½ : 1¼ (vi) x$$^{2}$$ : 4x (vii) 2.5 : 1.5 (viii) 2.5 : 5

4. Reduce the following ratios to the lowest terms:

(i) 1 hour 20 mins : 2 hours

(ii) 4 weeks : 49 days

(iii) 3 years 4 months : 5 years 5 months

(iv) 2 m 40 cm : 1 m 44 cm

(v) 5 kg 500 gm : 2 kg 750 gm

Answers for the worksheet on ratio in simplest form are given below to check the exact answers of the above questions on ratios.

 1. (i) 1 : 3 (ii) 1 : 7 (iii) 2 : 3 (iv) 2 : 5 (v) 7 : 10 (vi) 3 : 4 (vii) 8 : 9 (viii) 4 : 5
 2. (i) 25 : 4 (ii) 3 : 20 (iii) 10 : 3 (iv) 8 : 3 (v) 4 : 3 (vi) 16 : 3 (vii) 2 : 5 (viii) 1 : 10 (ix) 1 : 4 (x) 1 : 25 (xi) 5 : 9 (xii) 1 : 8 (xiii) 1 : 5 (xiv) 3 : 8
 3. (i) 3 : 5 (ii) 1 : 2 (iii) 3 : 5 (iv) 1 : 2 (v) 28 : 42 : 15 (vi) x : 4 (vii) 5 : 3 (viii) 1 : 2

4. (i) 2 : 3

(ii) 4 : 7

(iii) 8 : 13

(iv) 5 : 3

(v) 2 : 1