Express each of the following ratios in simplest form : (i) 35 paise : ₹ 1 (ii) 1 kg : 375 g (iii) 60 cm : 1 m (iv) 400 m : 1 km (v) 8 months : years (vi) hours : 1 day

Question

KnowledgeBoat · Accepted Answer

(i) 35 paise : ₹ 1 Convert rupee into paise: ₹ 1 = 100 paise. The ratio is 35 : 100. Let us find H.C.F. of 35 and 100: H.C.F. = 5 Hence, the answer is 7 : 20 (ii) 1 kg : 375 g Convert kg into g: 1 kg = 1000 g. The ratio is 1000 : 375. Let us find H.C.F. of 1000 and 375: H.C.F. = 125 Hence, the answer is 8 : 3 (iii) 60 cm : 1 m Convert m into cm: 1 m = 100 cm. The ratio is 60 : 100. Let us find H.C.F. of 60 and 100: H.C.F. = 20 Hence, the answer is 3 : 5 (iv) 400 m : 1 km Convert km into m: 1 km = 1000 m. The ratio is 400 : 1000. Let us find H.C.F. of 400 and 1000: H.C.F. = 200 Hence, the answer is 2 : 5 (v) 8 months : years Convert years to improper fraction: years. Convert years into months: months. The ratio is 8 : 20. Let us find H.C.F. of 8 and 20: H.C.F. = 4 Hence, the answer is 2 : 5 (vi) hours : 1 day Convert hours to improper fraction: hours. Convert 1 day into hours: 24 hours. The ratio is : 24. Multiply both sides by 3 to remove the denominator: Let us find H.C.F. of 20 and 72: H.C.F. = 4 Hence, the answer is 5 : 18

Mathematics

Express each of the following ratios in simplest form : (i) 35 paise : ₹ 1 (ii) 1 kg : 375 g (iii) 60 cm : 1 m (iv) 400 m : 1 km (v) 8 months : years (vi) hours : 1 day

Ratio Proportion

Related Questions

The angles of a triangle are in the ratio 5 : 6 : 7. Find each angle.

A line segment of length 84 cm has been divided into two parts in the ratio 4 : 3. Find the length of each part.