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Which option is the value of 9/16 − 0.3125?

Answer and explanation

Correct answer: 0.25

The governing concept is converting equivalent forms before performing subtraction. Convert the fraction 9/16 to a decimal: 9 ÷ 16 = 0.5625. Now subtract the given decimal: 0.5625 − 0.3125 = 0.2500, which is 0.25. Therefore, option B is correct. Option D is only the decimal value of 9/16 before subtraction, while option C is the number being subtracted. Option A can result from an arithmetic subtraction error. The calculation can also be checked in fractions: 0.3125 = 5/16, so 9/16 − 5/16 = 4/16 = 1/4 = 0.25. Both methods confirm the same answer.

Related tags

Number SystemsDecimal RepresentationSubtractionMathematicsClass 9 Mcq

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