Final answer:
The equivalent ratio of 15:42 is found by simplifying the ratio using the common factor of 3, resulting in the simplified ratio of 5:14.
Step-by-step explanation:
The question is asking to express the ratio 15:42 as an equivalent ratio. To find an equivalent ratio, we need to find a common factor that can divide both numbers of the ratio.
After dividing both parts of the ratio by the common factor, we get the simplified form.
Looking at the numbers 15 and 42, we can see that the number 3 is a common factor. Dividing both parts of the ratio by 3, we get:
15 ÷ 3 = 5
42 ÷ 3 = 14
So the equivalent ratio of 15:42, after simplification, is 5:14.