Learn How To Easily Convert Part-To-Part Ratios To Part-To-Whole Ratios With These Simple Steps

How do you convert from part-to-part ratios to part-to-whole ratios?

If the parts add up to the whole, a part-to-part ratio can be turned into two part-to-whole ratios by putting each number in the original ratio over the sum of the numbers. For example, if the ratio of males to females is 1 to 2, then the males-to-people ratio is 1/ (1+2) = 1/3 and the females-to-people ratio is 2/ (1+2) = 2/3In other words, 2/3 of all the people are female.

To convert from part-to-part ratios to part-to-whole ratios, you need to follow the steps outlined below:

Step 1: Add the terms of the part-to-part ratio to obtain the total parts in the ratio. For example, if the part-to-part ratio is 2:3, the total parts are 2 + 3 = 5.

Step 2: Determine the whole quantity by multiplying each part of the ratio by the same factor that would transform the total parts to the whole. For example, in the 2:3 ratio, the factor is 5/2 because 5 (the total parts) divided by 2 (the first part in the ratio) is 2.5, which is the number you would multiply both parts by to get 5. Therefore, the whole quantity is 2.5 x 2 = 5 units for the first part and 2.5 x 3 = 7.5 units for the second part.

Step 3: Write the part-to-whole ratios by dividing each part of the original part-to-part ratio by the corresponding part of the whole quantity obtained in step 2. For example, the part-to-whole ratios for the 2:3 part-to-part ratio would be 2/5 and 3/7.5 as the first and second parts correspondingly.

By following these steps, you can effortlessly convert any part-to-part ratio to a part-to-whole ratio.

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