Yes, you've correctly analyzed the scenario and simplified the ratios. Let's go through it step by step:
Given that the initial mass is 120g and the final mass is 90g, you can express the ratio in two ways:
Final:Initial = 90:120
Simplifying this ratio gives you 3:4.
Initial:Final = 120:90
Simplifying this ratio gives you 4:3.
To express the ratio with a 1, you can either divide both terms of the ratio by the same number or write the reciprocal:
3:4 can be simplified by dividing both terms by 3, resulting in 1:4/3 or 1:1.33 (rounded to two decimal places).
Alternatively, you can divide both terms by 4, resulting in 3/4:1 or 0.75:1.
4:3 can be simplified by dividing both terms by 4, resulting in 4/3:1 or 1.33:1 (rounded to two decimal places).
Alternatively, you can divide both terms by 3, resulting in 4/3:1 or 1.33:1.
Both expressions are valid and convey the same information, but the choice between them depends on the context and the preferred way of representing the ratio.