Question

State whether the following ratios are equivalent or not. 1:3 and 2:6.In step by step explanation ​

Answer 1

Answer:

Given : Ratios - 1 : 3, 2 : 6

To find : 1 : 3, 2 : 6 ratios are equivalent are not.

Solution :

To check whether 1:3 and 2:6 are equivalent or not, we need to cross multiply both the ratios -

1 1 X 6 6 1

---------. =. -------------. = ------- = ------

3. 3 X 6 18 3

________ 1

and

2. 2. X. 3 6. 1

----------- = -------------. =. ------- =. -------

6. 6 X. 3 18. 3

________ 2

Therefore,

from equations 1 and 2

1 2

-----------. =. ------------

3. 6

Ans : Therefore, The ratios 1 : 2 and 2 : 6 are equivalent to each other.

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