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State true or false.

$2 : 3$ in percentage is $66_{3}^{2}$ % .

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True

False

answer is A.

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Detailed Solution

The given statement is true.
Concept: If we need to describe the ratio a:b in percentage, we can do it by writing it down as

\frac{a}{b} \times 100 %

and using that to calculate the result.
The ratio given is

2 : 3 .

This ratio has to be converted to a percentage.
Since we already know that if a ratio has the form

a : b,

its percentage can be stated as

\frac{a}{b} \times

100%.
When we compare the ratio with

a : b,

we obtain:

a = 2 and b = 3

Now, if we change the values of a and b in the formula above, we obtain:
In percentage form,

= \frac{a}{b} \times 100 % = \frac{2}{3} \times 100 %

When we further simplify it, we get

= \frac{200}{3} % = 66_{3}^{2} %

Hence, the correct option is 1.

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