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Q.

Is the given statement true or false?

2:3 in percentage is $66 \frac{2}{3} %$ .

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a

True

b

False

answer is A.

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Detailed Solution

The given statement is true.
Concept- To convert a ratio form in percentage form we must follow these steps below:
Step 1- write the ratio

x : y

form in fraction

\frac{x}{y}

form.
Step 2- multiple the fraction form by 100 to get it in percentage, solve it.
Step 3- if the fraction comes out to be an improper fraction, then convert it into a mixed fraction, and if proper fraction then leave as it is.
Do not forget to add the % sign to the final resultant value.
Percentage form of ratio is:

= \frac{2}{3} \times 100

= \frac{200}{3}

= \frac{66 \times 3 + 2}{3}

In mixed fraction, we write it as

66 \frac{2}{3} %

So, the given statement is true.

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