i) 25 minutes to 55 minutes ii) 45 seconds to 30 minutes

Question

Find the ratios of the following in their simplest form. 

i) 25 minutes to 55 minutes 

ii) 45 seconds to 30 minutes

Answer 1

i) 25 minutes to 55 minutes 

Given 25 minutes to 55 minutes = 25 : 55

HCF of 25 and 55 is 5 = 25 ÷ 5 : 55 ÷ 5 (Divide each term by 5) 

∴ Required ratio = 5:11

ii) 45 seconds to 30 minutes 

Given 45 seconds to 30 minutes. 

To write the given ratio in the simplest form. 

First convert the two terms into same units. 

1 minute = 60 seconds 

30 minutes = 30 × 60 = 1800 seconds 

Then, find the HCF of two terms and divide them by their HCF.

HCF of 45 and 1800 is 45. 

= 45 ÷ 45 : 1800 ÷ 45 (divide each term by 45) 

∴ Required ratio = 1 : 40