Question

Express each ratio as a fraction in its simplest form 18hours to 2days, 500m:1km, 25cm to 3m, 3600seconds:2hours, 4days to 2weeks, 48seconds to 5munites

Answer 1

1 day = 24 h

2 days = 2 ∙ 24 h = 48 h

18 h / 2 days = 18 h / 48 h = 6 ∙ 3 / 6 ∙ 8 = 3 / 8 = 3 : 8

1000 m = 1 km

500 m = 1000 m / 2 = 1 km / 2 = 1 / 2 km

500 m / 1 km = 1 / 2 km / 1 km = 1 / 2 = 1:2

1 m = 100 cm,

3 m = 300 cm

25 cm / 3 m = 25 cm / 300 cm = 25 ∙ 1 / 25 ∙ 12 = 1 / 12 = 1:12

1 min = 60 sec

1 h = 60 min = 60 ∙ 60 sec = 3600 sec

3600 sec / 2 h = 1 h / 2 h = 1 / 2 = 1:2

1 week = 7 days

2 week = 2 ∙ 7 days = 14 days

4 days / 2 weeks = 4 days / 14 days = 2 ∙ 2 / 2 ∙ 7 = 2 / 7 = 2:7

1 min = 60 sec

5 min = 5 ∙ 60 sec = 300 sec

48 sec / 5 min = 48 sec / 300 sec = 12 ∙ 4 / 12 ∙ 25 = 4 / 25 = 4:25