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 into the form 1:m:n with two decimal places, compute 12/7 and 17/7, resulting in 1:1.71:2.43.

Step-by-step explanation:

We need to find m and n such that the ratio is 1:m:n.

To do this, we'll divide each number in the original ratio by the smallest number in the ratio, which is 7, to create a new ratio with 1 as the first number.

Here's the calculation:

• The first number: 7 / 7 = 1
• For m (second number): 12 / 7 ≈ 1.71 (to 2 d.p.)
• For n (third number): 17 / 7 ≈ 2.43 (to 2 d.p.)

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