Which set of statements shows the correct steps to find 45 percent of 75?

Question

Write 45 percent as 9 ´ 5 percent, and write 5 percent as StartFraction 1 Over 20 EndFraction. Then, find StartFraction 1 Over 20 EndFraction of 75: 75 times StartFraction 1 Over 20 EndFraction = StartFraction 75 Over 20 EndFraction = 3.75. Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75.
Write 45 percent as 9 ´ 5 percent, and write 5 percent as One-half. Then, find One-half of 75: 75 times one-half = StartFraction 75 Over 2 EndFraction = 33.75. Multiply 33.75 by 9 to get 303.75. So, 45 percent of 75 is 303.75.
Write 45 percent as StartFraction 1 Over 45 EndFraction. Then, find StartFraction 1 Over 45 EndFraction of 75: 75 times StartFraction 1 Over 45 EndFraction = StartFraction 75 Over 45 EndFraction = 1.67. So, 45 percent of 75 is 1.67.
Write 45 percent as StartFraction 1 Over 4.5 EndFraction. Then, find StartFraction 1 Over 4.5 EndFraction of 75: 75 times StartFraction 1 Over 4.5 EndFraction = StartFraction 75 Over 4.5 EndFraction = 16.7. So, 45 percent of 75 is 16.7.

Answer 1

The first set of statements is the correct approach to find 45 percent of 75:

1. Write 45 percent as 9 × 5 percent, and write 5 percent as \( \frac{1}{20} \).
2. Then, find \( \frac{1}{20} \) of 75:
   • \( 75 \times \frac{1}{20} = \frac{75}{20} = 3.75 \).
3. Multiply 3.75 by 9 to get 33.75.
4. So, 45 percent of 75 is 33.75.

This method accurately calculates 45 percent of 75.

The other options contain incorrect calculations or misinterpretations of percentages.