Question

1. Write the following ratios in the lowest terms.
a. 144 : 24
b. 1.6 : 1.2
c. 0.25 : 1.5
d. 1.20 : 0.48
e. 35 : 15 : 20
f. 0.45 : 0.54 : 0.90
Please gove step by step explanation.​

Answer 1

Answer:

a) 144:24

= 144/24 ÷ 4/4

= 36/6 ÷ 6 = 6/1

= 6 : 1

b) 1.6:1.2

= 1.6/1.2 ÷ 4/4

= 0.4/0.3

= 0.4 : 0.3

Hope it helps

Answer 2

Answer:

Step-by-step explanation:

a) 144 : 24

= 144 / 24 = 72 / 12 = 6 / 1 = 6 is the answer.

b) 1.6 : 1.2

= ( 16 / 10 ) : ( 12/ 10 )

= ( 16 / 10 )/ (12/ 10 )

= ( 16 / 10 ) × ( 10 / 12 )

= 16 / 12

= 4 / 3 is the answer.

c) 0 .25 : 1.5

= ( 25 / 100 ) : ( 15 / 10 )

= ( 25 / 100 ) / ( 15 / 10 )

= ( 25 / 100 ) × ( 10 / 15 )

= ( 250 / 1500 )

= 25 / 150

= 1 / 6 is the answer.

d) 1.20 : 0.48

= ( 120 / 100 ) : ( 48 / 100 )

= ( 120 / 100 ) / ( 48 / 100 )

= ( 120 / 100 ) × ( 100 / 48 )

= 120/ 48

= 60 / 24

= 30 / 12

= 15 / 6

= 5 / 2 is the answer.

e) 35 : 15 : 20

HCF of 35, 15 and 20 is 5.

So, divide by every term with 5, we get

= 35 / 5 : 15 / 5 : 20 / 5

= 7 : 3 : 4 is the answer.

f) 0.45 : 0.54 : 0.90

HCF of 0.45, 0.54 and 0.90 is 0.9.

So, divide by every term with 0.9, we get

= 0.45 / 0.9 : 0.54 / 0.9 : 0.90 / 0.9

= 0.5 : 0.6 : 1 is the answer.