mcqs Math Percentage Convert 309% into fraction. 8357

Try MCQ Test

Question: Convert 309% into fraction.

(A)  3 ⁹/₇₅ Or, ⁵³⁴/₇₅
(B)  6 ⁹/₁₀₀ Or, ⁹⁰⁹/₁₀₀
(C)  3 ⁹/₁₀₀ Or, ³⁰⁹/₁₀₀
(D)  3 ⁹/₅₀ Or, ⁴⁵⁹/₅₀

Correct Answer 3 ⁹/₁₀₀ Or, ³⁰⁹/₁₀₀

Solution And Explanation

Solution

Method to convert a percent into fraction

Step (1) Divide the given percent by 100

Step (2) Remove the sign of percentage

Step (3) Simplify the obtained expression

Here we have to convert 309% into fraction.

1% = ³⁰⁹/₁₀₀

There is no common factor other than 1 between the numerator and denominator of the above expression, so it cannot be reduced further. But, in the above fraction, the numerator is greater than the denominator, so it is not in the standard form. The fraction in which the numerator is greater than or equal to the denominator is known as an improper fraction. So, it is an improper fraction. And hence it is necessary to convert it into a mixed fraction to get a correct answer.

= 3 ⁹/₁₀₀

Thus, 1% = 3 ⁹/₁₀₀ Or, ³⁰⁹/₁₀₀ Answer

Try MCQ Test