Question
which of the following are equivalent to 7/16 A 16√7 B 16 ÷ 7 C 7 ÷ 16 D 7√16
Answers
GPT-4o mini
Let's evaluate each option to find which of them is equivalent to \( \frac{7}{16} \):
A) \( 16\sqrt{7} \)
This is much larger than \( \frac{7}{16} \), so it is not equivalent.
B) \( 16 \div 7 \)
Calculating this gives \( \frac{16}{7} \)—this is greater than 1, so it is not equivalent.
C) \( 7 \div 16 \)
This is simply \( \frac{7}{16} \)—this is equivalent.
D) \( 7\sqrt{16} \)
Since \( \sqrt{16} = 4 \), this simplifies to \( 7 \times 4 = 28 \), which is not equivalent.
Thus, the only option that is equivalent to \( \frac{7}{16} \) is:
**C) \( 7 \div 16 \)**.
A) \( 16\sqrt{7} \)
This is much larger than \( \frac{7}{16} \), so it is not equivalent.
B) \( 16 \div 7 \)
Calculating this gives \( \frac{16}{7} \)—this is greater than 1, so it is not equivalent.
C) \( 7 \div 16 \)
This is simply \( \frac{7}{16} \)—this is equivalent.
D) \( 7\sqrt{16} \)
Since \( \sqrt{16} = 4 \), this simplifies to \( 7 \times 4 = 28 \), which is not equivalent.
Thus, the only option that is equivalent to \( \frac{7}{16} \) is:
**C) \( 7 \div 16 \)**.