Question

SOLVE THIS QUESTIONS BY PICTURE SHOW THE FULL METHOD
​

Answer 1

$\color {red} </p><p>\Large \underline {\underline {Question \: :}}$

Reduce the ratios to their simplest forms :

1. 1 h 45 min : 2 h 45 min
2. 35 days : 4 weeks
3. 2 years 3 months : 3 years 9 months
4. 2 m 40 cm : 1 m 44 cm
5. 3 kg 750 g : 750 g

$\color {red} </p><p>\Large \underline {\underline {Answer \: :}}$

1). 1 h 45 min : 2 h 45 min

First we have to convert both times in minutes. So that we can easily simplify that.

1 h = 60 min

2 h = 60 × 2 = 120 min

• 1 h 45 min = 60 + 45 = 105 min
• 2 h 45 min = 120 + 45 = 165 min

So, 105 : 165

= 7 : 11

2). 35 days : 4 weeks

We have to convert weeks into days so that we can easily simplify.

1 week = 7 days

4 weeks = 7 × 4 = 28 days

So, 35 : 28

= 5 : 4

3). 2 years 3 months : 3 years 9 months

We have to convert years into months.

1 year = 12 months

2 years = 12 × 2 = 24 months

3 years = 12 × 3 = 36 months

• 2 years 3 months = 24 + 3 = 27 months
• 3 years 9 months = 36 + 9 = 45 months

So, 27 : 45

= 3 : 5

4). 2 m 40 cm : 1 m 44 cm

We have to convert m into cm.

1m = 100 cm

2 m = 100 × 2 = 200 cm

• 2m 40m = 200 + 40 = 240cm
• 1m 44 cm = 100 + 44 = 144 cm

So, 240 : 144

= 5 : 3

5). 3 kg 750 g : 750 g

We have to convert kg into g

• 3 kg 750g :

1kg = 1000 g

3 kg = 1000 × 3 = 3000 g

750 g = 750 g

=> 3000 + 750 = 3750 g

So, 3750 : 750

= 5

_________________________☆