Ratio sharing amounts

Basic Principles of Ratio Sharing

Ratio sharing is the process of dividing a certain quantity into parts using a specified ratio.
Foundation ratios, like 3:2, mean the total quantity is divided into 3 parts and 2 parts. So, the total is 5 parts.
Ratios are an expression of proportional division, meaning the total quantity is divided according to the specific proportion dictated by the ratio.

Sharing a Quantity in a Given Ratio

The first step in sharing a quantity in a given ratio is to find the total number of parts in the ratio by adding the numbers in the ratio.
The next step is to divide the total quantity by the total number of parts calculated in the first step. This will give you the value of one part.
Finally, multiply the value of one part by the numbers in the original ratio to find the values of each part of the ratio.

Example of Ratio Sharing

If you want to share £48 in the ratio 3:5, first, add 3+5 to get 8 total parts.
Then, divide £48 by 8, resulting in £6 per part.
Multiply this by the numbers in the original ratio, giving shares of £18 (3 parts) and £30 (5 parts).

Expressing a Ratio-Based Distribution

After dividing a quantity into a given ratio, you can express the result as a distribution.
The distribution of a ratio-based division should reflect the original ratio, and the total of the distribution should equal the original quantity.
For example, if £48 is shared in a 3:5 ratio, the distribution will be £18 and £30. Adding these together returns the original quantity of £48.

Applications of Ratio Sharing

Ratio sharing has various practical applications including splitting costs, dividing profits, or sharing resources.
An understanding of ratio sharing is necessary when dealing with financial situations, communal resources, and even cooking recipes.
It also comes in handy when doing tasks that involve splitting up work or dividing winnings in a fair or predetermined manner according to a set ratio.