Are the ratios 24/96 and 28/112 equivalent?
Yes.
Simplify each fraction.
Since 24 and 96 are both divisible by 24, then 24/96 = 1/4
Do the same for 28/112.
its yes you just simplify it and both come out with 1/4
3 ratios of 24:28
To determine if two ratios are equivalent, we need to simplify both ratios to their lowest terms and check if they are equal.
Let's simplify the ratios:
For the ratio 24/96:
- We can divide both the numerator and denominator by 24 (the greatest common factor) to simplify it further.
- 24 ÷ 24 = 1
- 96 ÷ 24 = 4
- Therefore, the simplified form of 24/96 is 1/4.
For the ratio 28/112:
- We can divide both the numerator and denominator by 28 (the greatest common factor) to simplify it further.
- 28 ÷ 28 = 1
- 112 ÷ 28 = 4
- Therefore, the simplified form of 28/112 is also 1/4.
Since both ratios simplify to the same fraction, 1/4, we can conclude that the ratios 24/96 and 28/112 are indeed equivalent.