Question

simplify the following ratios .
a. 450g:2 1/4 kg:3.6kg
b. 45min : 900 sec : 1/2 hour​

Answer 1

a. 450g:2 1/4 kg:3.6kg = 1: 5: 8    

b. 45min : 900 sec : 1/2 hour​ = 3: 1: 2

Given:

a. 450 g: 2250 g: 3600 g  

b. 45min : 900 sec : 1/2 hour​

To find:

Simplify the given ratios.

Solution:

Let's know about Ratios

Ratio:  

In mathematics, Ratio is a term that is used to compare two or more numbers. It is used to express how big or how small a quantity is when compared to another. In a ratio, two quantities with the same units will be compared using division.

Given a. 450g: 2 1/4 kg: 3.6kg  

Before, simplifying the ratio, make sure that the given quantities have the same units  

As we know 1 kg = 1000 g  

⇒ 2 1/4 kg = 2 × 1000 + (1/4)(1000) = 2000 + 250 = 2250 g

⇒ 3.6kg = 3.6 × 1000 = 3600 g  

Then the given ratio will be

⇒ 450 g: 2250 g: 3600 g  

⇒ 9: 45: 72     [ divided by 50 ]

⇒ 1: 5: 8

Therefore,

450 g: 2250 g: 3600 g = 1: 5: 8    

b. 45min : 900 sec : 1/2 hour​

As we know 1 min = 60 sec and 1 hr = 3600 sec  

⇒ 45min = 45 × 60 = 2700

⇒ 1/2 hour​ = (1/2)(3600) = 1800

Then given ratio will be

⇒ 2700 sec:  900 sec: 1800 sec

⇒ 27: 9: 18     [ divided by 100 ]

⇒ 3: 1: 2         [ divided by 9 ]

Therefore,

45min : 900 sec : 1/2 hour​ = 3: 1: 2

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