Are these ratios equivalent?754 friends : 864 strangers377 friends : 432 strangers
Question
Are these ratios equivalent?
- Ratio 1: 754 friends : 864 strangers
- Ratio 2: 377 friends : 432 strangers
Solution
Yes, these ratios are equivalent. Here's how you can determine this:
Step 1: Simplify each ratio to its simplest form.
For the first ratio, 754 friends : 864 strangers, divide both numbers by their greatest common divisor. The greatest common divisor of 754 and 864 is 2. So, divide 754 by 2 to get 377, and divide 864 by 2 to get 432. This simplifies the first ratio to 377 : 432.
For the second ratio, 377 friends : 432 strangers, it's already in its simplest form.
Step 2: Compare the simplified ratios.
Both ratios simplify to 377 : 432, so they are equivalent.
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