find the lowest form of the ratio a)25:100 b)36:108
Answers
Answer:
(i) 24:56 = 24 = 24 ÷ 8 = 3
56 56 ÷ 8 7
As the H.C.F. of 3 and 7 is 1, the simplest form of 24:56 is 3:7.
(ii) 84 paise to Rs 3 = Rs 0.84 to R. 3 = 0.84 = 0.84 ÷ 3 = 0.28 = 28 = 28 ÷ 4 = 7
3 3 ÷ 3 1 100 100 ÷ 4 25
As the H.C.F. of 7 and 25 is 1, the simplest form of 0.84:3 is 7:25.
(iii) 4 kg:750 g = 4000 g:750 g = 4000 ÷ 250 = 16
750 ÷ 250 3
As the H.C.F. of 16 and 3 is 1, the simplest form of 4000:750 is 16:3.
(iv) 1.8 kg:6 kg = 1.8 = 18 = 18 ÷ 6 = 3
6 60 60 ÷ 6 10
As the H.C.F. of 3 and 10 is 1, the simplest form of 1.8:6 is 3:1.
(v) 48 minutes to 1 hour = 48 minutes to 60 minutes = 48:60 = 48 ÷ 12 = 4
60 ÷ 12 5
As the H.C.F. of 4 and 5 is 1, the simplest form of 48:60 is 4:5.
(vi) 2.4 km to 900 m = 2400m:900m = 2400 = 24 = 24 ÷ 3 = 8
900 9 9 ÷ 3 3
As the H.C.F. of 8 and 3 is 1, the simplest form of 2400:900 is 8:3.
Step-by-step explanation: