Final answer:
The ratio 15:42 written in the form 1:n is 1:2.8, achieved by dividing both numbers of the original ratio by the first number to find the equivalent ratio.
Step-by-step explanation:
To rewrite the ratio 15:42 as an equivalent ratio of the form 1:n, we first divide both terms of the ratio by 15. This simplifies the ratio to 1:(42/15). When we calculate 42 divided by 15, we get approximately 2.8. Thus, the equivalent ratio of the form 1:n is 1:2.8.
We use proportions to find equivalent ratios by ensuring that the two fractions or ratios are equal to one another, as in the following examples:
- 1/20=1/5.5
- 5/1-2.75/1 cm
- 1/48=w/16
- 14/1=1/10
- 1/50=0.5/5
- scale/actual=1/20
- scale/actual=1/5.5
However, in this case, we are only simplifying the ratio, not setting it against another to form a proportion.