mcqs Math Percentage Convert 313% into fraction. 8361

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Question: Convert 313% into fraction.

(A)  3 ¹³/₇₅ Or, ⁵³⁸/₇₅
(B)  6 ¹³/₁₀₀ Or, ⁹¹³/₁₀₀
(C)  3 ¹³/₁₀₀ Or, ³¹³/₁₀₀
(D)  3 ¹³/₅₀ Or, ⁴⁶³/₅₀

Correct Answer 3 ¹³/₁₀₀ Or, ³¹³/₁₀₀

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 313% into fraction.

1% = ³¹³/₁₀₀

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 ¹³/₁₀₀

Thus, 1% = 3 ¹³/₁₀₀ Or, ³¹³/₁₀₀ Answer

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