Final answer:
No, 4:3 and 24:45 are not equal ratios. After simplifying the second ratio to 8:15, it's clear that it does not match the first ratio when we try to find a common multiplier.
Step-by-step explanation:
The question is about determining whether two ratios, 4:3 and 24:45, are equal.
To compare ratios and determine if they are equivalent, one way is to write a proportion.
A proportion is created when two ratios are found to be equivalent or equal, such as 1/2 = 3/6.
Another approach is to simplify each ratio to its lowest terms or find a common multiplier between the two ratios.
In this case, let's simplify the second ratio:
- 24:45 can be simplified by dividing both numbers by their greatest common divisor, which is 3.
- The simplified form is 8:15.
Now we compare the simplified form of the second ratio, 8:15, with the first ratio, 4:3.
- By multiplying the first ratio by 2: (4*2):(3*2) = 8:6
- It does not equal the second ratio, 8:15.
Therefore, 4:3 and 24:45 are not equal ratios.