answer:
To change the ratio 2:5 into the form 1:n, we need to find the value of n that corresponds to a ratio of 1:n.
Given ratio: 2:5
To change this into the form 1:n, we can use the concept of equivalent ratios.
1. Determine the common factor between the two numbers in the original ratio (2 and 5). In this case, the common factor is 1.
2. Divide both numbers in the original ratio by the common factor.
2 ÷ 1 = 2
5 ÷ 1 = 5
3. The new ratio in the form 1:n is 2:5.
Therefore, when changing the ratio 2:5 into the form 1:n, the new ratio is also 2:5.
Now, let's change the ratio 2:5 into the form n:1.
1. Determine the reciprocal of the numbers in the original ratio.
Reciprocal of 2: 1/2
Reciprocal of 5: 1/5
2. The new ratio in the form n:1 is 1/2:1/5.
Simplifying the ratio:
1/2 : 1/5 = 5/10 : 2/10 = 5:2
Therefore, when changing the ratio 2:5 into the form n:1, the new ratio is 5:2.
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