Question
Do the ratios 6:12 and 1:2 form a proportion?
Answers
GPT-4o mini
To determine if the ratios 6:12 and 1:2 form a proportion, we can express them as fractions and check if the cross products are equal.
The ratios can be written as:
- \( \frac{6}{12} \)
- \( \frac{1}{2} \)
Now, we can calculate the cross products:
1. \( 6 \times 2 = 12 \)
2. \( 12 \times 1 = 12 \)
Since the cross products are equal (both equal to 12), the ratios 6:12 and 1:2 do form a proportion.
The ratios can be written as:
- \( \frac{6}{12} \)
- \( \frac{1}{2} \)
Now, we can calculate the cross products:
1. \( 6 \times 2 = 12 \)
2. \( 12 \times 1 = 12 \)
Since the cross products are equal (both equal to 12), the ratios 6:12 and 1:2 do form a proportion.