Question

The heights of three Russian dolls are in the ratio 7:12:17 Rewrite this as an equivalent ratio of the form 1:m:n Give any decimals in your answer to 2 d.p.

Answer 1

To rewrite the ratio 7:12:17 in the form 1:m:n, each term of the original ratio is divided by 7. This yields the equivalent ratio of 1:1.71:2.43 (rounded to two decimal places).

Step-by-step explanation:

To convert the ratio 7:12:17 to the form 1:m:n, we need to divide each term in the original ratio by the smallest term, which in this case is 7. This will set the first term to 1, and we can find the equivalent values for the other two terms. The calculations are as follows:

• For the first term:
  1 = 7 / 7
• For the second term (m):
  m = 12 / 7 = 1.71 (rounded to two decimal places)
• For the third term (n):
  n = 17 / 7 = 2.43 (rounded to two decimal places)

Therefore, the equivalent ratio of the form 1:m:n is 1:1.71:2.43.