The following ratios are equivalent:2/5, 24/60, 10/25, 6/15
To determine if the ratios are equivalent, we can simplify each ratio to its simplest form and check if they are all the same:
2/5: simplify the ratio by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 1 in this case. Therefore, the simplified form of 2/5 is still 2/5.
24/60: divide both the numerator and denominator by their GCD, which is 12. Therefore, 24/60 simplifies to 2/5.
10/25: divide both the numerator and denominator by their GCD, which is 5. Therefore, 10/25 simplifies to 2/5.
6/15: divide both the numerator and denominator by their GCD, which is 3. Therefore, 6/15 simplifies to 2/5.
Since all the ratios simplify to 2/5, these ratios are equivalent.