Let's evaluate each of the statements to find the correct steps for calculating 45 percent of 75.
-
Statement A:
- Convert 45 percent to \(9 \times 5\) percent.
- Convert 5 percent to \( \frac{1}{20} \).
- Calculate \( \frac{1}{20} \) of 75, which is \( 75 \times \frac{1}{20} = \frac{75}{20} = 3.75 \).
- Then, multiply 3.75 by 9, resulting in \( 3.75 \times 9 = 33.75 \).
- Conclusion: 45 percent of 75 is 33.75.
-
Statement B:
- Convert 45 percent to \(9 \times 5\) percent.
- Convert 5 percent incorrectly to one-half.
- Calculate one-half of 75, which is \( 75 \times \frac{1}{2} = \frac{75}{2} = 37.5 \).
- Then, multiply 37.5 by 9, giving \( 37.5 \times 9 = 337.5 \) (not 303.75).
- Conclusion: 45 percent of 75 is incorrectly stated.
-
Statement C:
- Incorrectly rewrite 45 percent as \( \frac{1}{45} \).
- Calculate \( \frac{1}{45} \) of 75, which is \( 75 \times \frac{1}{45} = \frac{75}{45} \approx 1.67 \).
- Conclusion: 45 percent of 75 is incorrectly stated.
-
Statement D:
- Incorrectly rewrite 45 percent as \( \frac{1}{4.5} \).
- Calculate \( \frac{1}{4.5} \) of 75, resulting in \( 75 \times \frac{1}{4.5} = \frac{75}{4.5} \approx 16.67 \).
- Conclusion: 45 percent of 75 is incorrectly stated.
The correct calculation for 45 percent is done in Statement A. Therefore, the correct answer is:
A. Write 45 percent as \(9 \times 5\) percent, and write 5 percent as \( \frac{1}{20} \). Then, find \( \frac{1}{20} \) of 75: \( 75 \times \frac{1}{20} = \frac{75}{20} = 3.75\). Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75.
7 answers