2:3

Do you want to work with the ratio 2:3 in a specific way? Here’s a quick guide and some common uses (useful for exam prep):

• Simplest form: 2:3 is already simplified.
• Fraction form (first part relative to total): 2/5, and the second part is 3/5.
• Percent form: 2/5 = 40%, 3/5 = 60%.
• If total quantity is T: first part = (2/5)T, second part = (3/5)T.
• In a proportion a:b = 2:3, we have a/b = 2/3.
  • To scale: a = 2k, b = 3k for some k.
  • To find a given b: a = (2/3)b.

Common problems:

• Solve for b when a = 8 and a:b = 2:3: b = (3/2)·a = 12.
• If a + b = 50 and a:b = 2:3: a = 20, b = 30.

If you have a specific problem or want a step-by-step example, tell me the context (e.g., mixing, proportions, or a+b constraint) and we’ll work through it.