Question

The equivalent ratio for 2:7 is

Answer 1

The Equivalent Ratio for 2:7 is :-

4:14, 6:21, 8:28

Explanation:-

Equivalent ratios are just like equivalent fractions. If two ratios have the same value, then they are equivalent, even though they may look very different. so by this we can find the equivalent ratio of 2:7.

Answer 2

6:21 and 4 : 14 are equivalent ratio for 2 : 7 in the given options.

Given:

• Ratio  2:7

To Find:

• Equivalent Ratios from the given
• 6:21
• 7:21
• 7:27
• 4:14
• 9:81

Solution:

create equivalent ratios :

By dividing or multiplying the both antecedent and  consequent of the ratio  by the same number except zero

a: b  = ak : bk      k ≠ 0

a: b  = (a/k) : (b/k)   k ≠ 0

Checking Each options one by one

Step 1:

6 : 21

Dividing by 3

6/ 3 : 21 /3

2 : 7

6 : 21 Same as 2: 7

Step 2:

7 : 21

Dividing by 7

7/ 7 : 21 /7

1 : 3

Not same as  2 : 7

Step 3:

7 : 27

Co prime numbers hence can not be simplified further

Hence Not same as  2 : 7

Step 4:

4: 14

Dividing by 2

4/ 2 : 14 /2

2 : 7

4: 14 Same as  2 : 7

Step 5:

9 : 81

Dividing by 9

9/ 9 : 81 /9

1 : 9

Not same as  2 : 7

Hence 6:21 and 4 : 14 are equivalent ratio for 2 : 7 in the given options.

( You Question is incomplete as the options are not mentioned , Missing options has been added)

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