Question

EXERCISE SA
2
1. Express each of the following ratios in simplest form:
(111) 6
3
(1) 24 : 40
(11) 13.5 : 15
(vi) 2.5 : 6.5: 8
(iv)
(1) l m 5 cm : 63 cm
(iv) 8 months : 1 year
(vi) 1 km: 750 m
1 1
9
(v) 4:5:
2
2. Express each of the following ratios in simplest form:
(1) 75 paise : 3 rupees
(111) I hour 5 minutes : 45 minutes
(v) (2 kg 250 g): (3 kg)
3. A:B - 7:5 and B:C=9:14. lind A:C.
4. A:B5:8 and B:C=16:25, find A:C.
6. A:B 3:5 and B:C=10:13, find A:B:C.
6. IMA:B-5:6 and B:C = 4:7, find A:B:C.
7. Divide 360 between Kunal and Mohit in the ratio 7:8.​

Answer 1

Explanation:

(i) HCF of 24 and 40 is 8.

∴ 24 : 40 =  = 3 : 5

Hence, 24 : 40 in its simplest form is 3 : 5.

(ii) HCF of 13.5 and 15 is 1.5.

 

Hence, 13.5 : 15 in its simplest form is 9 : 10.

(iii)  

The HCF of 40 and 45 is 5.

∴ 40 : 45 =  = 8 : 9

Hence,  in its simplest form is 8 : 9

(iv) 9 : 6

The HCF of 9 and 6 is 3.

∴ 9 : 6 = = 3 : 2

Hence,  in its simplest form is 3 : 2.

(v) LCM of the denominators is 2.

∴ 4 : 5 :  = 8 : 10 : 9

The HCF of these 3 numbers is 1.

∴ 8 : 10 : 9 is the simplest form.

(vi) 2.5 : 6.5 : 8 = 25 : 65 : 80

The HCF of 25, 65 and 80 is 5.

∴ 25 : 65 : 80 =  = 5 : 13 : 16.......... .

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