Question

Determine whether the ratios are equivalent. 3:8 and 9: 24. are they equivalent or not?​

Answer 1

Upon simplifying, both ratios 3:8 and 9:24 reduce to the same fraction, 3/8, which confirms that the two ratios are equivalent.

Step-by-step explanation:

To determine whether the ratios 3:8 and 9:24 are equivalent, we can compare them by converting each ratio into a fraction and then simplifying each to see if they are the same. First, write the ratio 3:8 as a fraction: 3/8. Now, write the second ratio 9:24 as a fraction: 9/24. The next step is to simplify 9/24 by dividing both the numerator and the denominator by their greatest common divisor, which is 3. This simplifies to 9÷3 / 24÷3, which equals 3/8. Since both simplified fractions are equal, we can conclude that the ratios 3:8 and 9:24 are indeed equivalent.

Answer 2

Yes, they are equivalent.

Step-by-step explanation:

9 / 3 = 3

24 / 3 = 8

3:8 is just the simplified version of 9:24. This is due to 9:24 being divided by three, becoming 3:8.