mcqs Math Percentage Convert 408% into fraction. 8456

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Question: Convert 408% into fraction.

(A)  4 ⁴/₂₅ Or, ¹⁰⁴/₂₅
(B)  8 ²/₂₅ Or, ²⁰²/₂₅
(C)  4 ²/₂₅ Or, ¹⁰²/₂₅
(D)  4 ⁶/₂₅ Or, ¹⁰⁶/₂₅

Correct Answer 4 ²/₂₅ Or, ¹⁰²/₂₅

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 408% into fraction.

1% = ⁴⁰⁸/₁₀₀

Here the HCF of the numerator, 408, and the denominator, 100 is equal to 4. Thus we will divide the numerator and denominator of the above fraction by 4 to obtain the standard fraction.

Thus, ⁴⁰⁸/₁₀₀ = ^{408 ÷ 4}/_{100 ÷ 4}

= ¹⁰²/₂₅

The fraction in which the numerator is greater than or equal to the denominator is known as an improper fraction.

Since, in the above fraction, the numerator is greater than the denominator so, it is an improper fraction. And, thus, the above fraction is not in the standard form. And hence it is necessary to convert it into a mixed fraction to get a correct answer.

= 4 ²/₂₅

Thus, 408% = 4 ²/₂₅ Or, ¹⁰²/₂₅ Answer

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