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Mathematics

Statement 1: To change a number in percentage to a ratio, write it as fraction with denominator 100 and then reduce it to the lowest term if possible.

Statement 2: A percentage can be converted to a fraction by removing sign of % dividing by 100.

Which of the following options is correct?

  1. Both the statements are true.

  2. Both the statements are false.

  3. Statement 1 is true, and statement 2 is false.

  4. Statement 1 is false, and statement 2 is true.

Percent & Percentage

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Answer

According to statement 1 :

To change a number in percentage to a ratio, write it as fraction with denominator 100 and then reduce it to the lowest term if possible.

Lets take an example;

60% = 60100=610=35\dfrac{60}{100} = \dfrac{6}{10} = \dfrac{3}{5} = 3 : 5

∴ Statement 1 is true.

According to statement 2 :

A percentage can be converted to a fraction by removing sign of % dividing by 100.

Lets take an example;

40 = 40100=25\dfrac{40}{100} = \dfrac{2}{5}

So, statement 2 is true.

Hence, option 1 is the correct option.

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