Which of the following are correctly matched?
A. 56% = \(\frac{14}{25}\)
B. 25% = \(\frac{1}{4}\)
C. 4% = \(\frac{1}{25}\)
D. 0.6% = \(\frac{3}{580}\)
E. 0.8% = \(\frac{1}{125}\)
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → A, B, C and E only
A percentage is a fraction with denominator 100: write it over 100 and reduce to lowest terms (for a decimal percentage, clear the decimal first).
A. 56% = 14/25 Correct. \(\displaystyle \frac{56}{100}=\frac{14}{25}\), dividing both by 4.
B. 25% = 1/4 Correct. \(\displaystyle \frac{25}{100}=\frac{1}{4}\).
C. 4% = 1/25 Correct. \(\displaystyle \frac{4}{100}=\frac{1}{25}\).
D. 0.6% = 3/580 Incorrect. \(\displaystyle \frac{0.6}{100}=\frac{6}{1000}=\frac{3}{500}\), so the denominator should be 500, not 580.
E. 0.8% = 1/125 Correct. \(\displaystyle \frac{0.8}{100}=\frac{8}{1000}=\frac{1}{125}\).