Question

Express the following ratios in their simplest forms. Work them out.
A. 20cm to 48cm=
B. 28:252=
C. 50km:80km=
D. 500g:2kg=
E. 14 days to 3 weeks=

Answer 1

A. To simplify the ratio 20cm to 48cm, we divide both numbers by their greatest common divisor, which is 4:

20cm ÷ 4 = 5cm
48cm ÷ 4 = 12cm

Therefore, the simplified ratio is 5cm to 12cm.

B. Again, we simplify the ratio 28:252 by dividing both numbers by their greatest common divisor, which is 28:

28 ÷ 28 = 1
252 ÷ 28 = 9

So, the simplified ratio is 1:9.

C. To simplify the ratio 50km:80km, we divide both numbers by their greatest common divisor, which is 10:

50km ÷ 10 = 5km
80km ÷ 10 = 8km

Hence, the simplified ratio is 5km to 8km.

D. The ratio 500g:2kg can be simplified by converting 2kg to grams, since both numbers are in the same unit:

2kg = 2,000g

Now, the ratio becomes 500g:2,000g.

To simplify this ratio, we divide both numbers by their greatest common divisor, which is 500:

500g ÷ 500 = 1g
2,000g ÷ 500 = 4g

Therefore, the simplified ratio is 1g to 4g.

E. To simplify the ratio 14 days to 3 weeks, we convert weeks to days since both numbers are in the same unit:

1 week = 7 days

Thus, 3 weeks equals 3*7 = 21 days.

Now, the ratio becomes 14 days:21 days.

To simplify this ratio, we divide both numbers by their greatest common divisor, which is 7:

14 days ÷ 7 = 2 days
21 days ÷ 7 = 3 days

Hence, the simplified ratio is 2 days to 3 days.