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How can the decimal number 0.75 be written as a fraction in simplest form?

Answer and explanation

Correct answer: \(\frac{3}{4}\)

Since 0.75 has two digits after the decimal point, it can be written as \(\frac{75}{100}\). Dividing the numerator and denominator by 25 gives \(\frac{75}{100}=\frac{3}{4}\), so option A is correct. \(\frac{75}{10}\) is not the correct conversion because two decimal places require a denominator of 100. Exam tip: Remove the decimal point, use 1 followed by as many zeros as the number of decimal places, and then simplify the fraction.

Related tags

Rational NumbersClass 9Decimal To FractionNumber SystemsDecimal RepresentationMathematicsClass 9 Mcq

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