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Which number is the decimal form of ( \frac{13}{50} )?

Answer and explanation

Correct answer: (0.26)

Direct answer: Option B, 0.26. To convert \(\frac{13}{50}\) into a decimal, make the denominator 100. Multiply numerator and denominator by 2: \(\frac{13}{50}=\frac{13\times2}{50\times2}=\frac{26}{100}=0.26\). The hundredths form directly shows 26 hundredths, or 0.26. Option B is correct. Option A, 0.13, would be \(13/100\), not \(13/50\); it forgets to double the numerator when changing 50 to 100. Option C, 0.52, is twice the correct value and would correspond to \(26/50\), not \(13/50\). Option D, 1.35, is greater than 1, whereas \(13/50\) is less than 1 because the numerator is smaller than the denominator; it is therefore immediately unreasonable. As a check, 50 × 0.26 = 13, confirming the fraction. Exam cue: when the denominator is 50, multiply top and bottom by 2 to obtain denominator 100.

Related tags

Number-SystemsDecimal-RepresentationFraction-To-Decimal

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