mcqs Math Percentage Convert 82% into fraction. 8130

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Question: Convert 82% into fraction.

(A)  ⁴¹/₇₅
(B)  ⁸²/₅₀
(C)  ⁴¹/₅₀
(D)  ¹⁰³/₁₀₀

Correct Answer ⁴¹/₅₀

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 need to convert 82% into fraction.

1% = ⁸²/₁₀₀

Here the HCF of numerator, 82 and denominator, 100 is equal to 2. Thus we will divide the numerator and denominator of the above fraction by 2 to obtain the standard fraction.

Thus, ⁸²/₁₀₀ = ^{82 ÷ 2}/_{100 ÷ 2}

= ⁴¹/₅₀

Thus, 82% = ⁴¹/₅₀ Answer

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