Question

Which two ratios form a proportion a) 1:2 and 4:2 b) 1:2 and 2:4 c) 2:1 and 2:4 d) 2:1 and 6:3

Answer 1

Answer:

The ratios in option b and d form a proportion.

Step-by-step explanation:

Option a)

• 1:2 and 4:2  or 1/2 and 4/2

1:2 or 1/2 is already in the simple form

Let us reduce 4:2 or 4/2 to check whether it is equal to 1/2 or not

as 4/2 = 2/1 which is NOT equal to 1/2

Thus, 1:2 and 4:2 are NOT in proportions

Option b)

• 1:2 and 2:4 or 1/2 and 2/4

1:2 or 1/2 is already in the simple form

Let us reduce 2:4 or 2/4 to check whether it is equal to 1/2 or not

as 2/4 = 1/2 which is EQUAL to 1/2

Thus, 1:2 and 2:4 are in proportions

Option c)

• 2:1 and 2:4  or 2/1 and 2/4

2:1 or 2/1 is already in the simple form

Let us reduce 2:4 or 2/4 to check whether it is equal to 2/1 or not

as 2/4 = 1/2 which is NOT equal to 2/1

Thus, 2:1 and 2:4 are NOT in proportions

Option d)

• 2:1 and 6:3  or 2/1 and 6/3

2:1 or 2/1 is already in the simple form

Let us reduce 6:3 or 6/3 to check whether it is equal to 2/1 or not

as 6/3 = 2/1 which is equal to 2/1

Thus, 2:1 and 6:3 are in proportions

Therefore, the ratios in option b and d form a proportion.