Question

Find the ratio of the first quantity with the second in its simplest form.

(i) 55cm, 2 meters
(ii) 3.5 kg., 6500 gm.
(iii) 3 min. 54 sec, 2 min. 6 sec.
(iv) Rs. 11, Rs. 15 and paise 40

Answer 1

(i) 2 metres = 200 cm
Ratio of 55 cm to 200 cm = $\frac{55}{200}=\frac{11}{40}$ = 11:40

(ii) 3.5 kg = 3500 gm
Ratio of 3500 gm to 6500 gm = $\frac{3500}{6500}=\frac{7}{13}$ = 7:13

(iii) 3 min 54 sec = 180 sec + 54 sec = 234 sec
2 min 6 sec = 120 sec + 6 sec = 126 sec
Ratio of 234 sec to 126 sec = $\frac{234}{126}=\frac{13}{7}$= 13:7

(iv) Rs 11 = 1100 paise
Rs 15 and paise 40 = 1500 paise + 40 paise = 1540 paise
Ratio of 1100 paise to 1540 paise = $\frac{1100}{1540}=\frac{5}{7}=5:7$