mcqs Math Percentage Convert 85% into fraction. 8133

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Question: Convert 85% into fraction.

(A)  ^42.5/₇₅
(B)  ⁸⁵/₅₀
(C)  ¹⁷/₂₀
(D)  ¹⁰⁶/₁₀₀

Correct Answer ¹⁷/₂₀

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 85% into fraction.

1% = ⁸⁵/₁₀₀

Here the HCF of numerator, 85 and denominator, 100 is equal to 5. Thus we will divide the numerator and denominator of the above fraction by 5 to obtain the standard fraction.

Thus, ⁸⁵/₁₀₀ = ^{85 ÷ 5}/_{100 ÷ 5}

= ¹⁷/₂₀

Thus, 85% = ¹⁷/₂₀ Answer

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