How to do the ratio of 2:3

Mathematics

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Answer

A ratio of 2:3 means that for every 2 parts of one quantity, there are 3 parts of another quantity.

Here's how to work with it:

  1. Understanding the Parts: The ratio 2:3 can be thought of as 2 parts and 3 parts, making a total of 2 + 3 = 5 parts.

  2. Calculating Fractions:

    • The first quantity represents (2)/(5) of the total.
    • The second quantity represents (3)/(5) of the total.
  3. Applying to a Total Amount: If you have a total amount (let's call it T) that you need to divide in a 2:3 ratio:

    • The first part is (2)/(5) × T.
    • The second part is (3)/(5) × T.

Example: To divide 20 items in a 2:3 ratio:

  • Total parts = 2 + 3 = 5
  • Value of one part = 20 items / 5 parts = 4 items/part
  • First quantity = 2 parts × 4 items/part = 8 items
  • Second quantity = 3 parts × 4 items/part = 12 items
  • Check: 8 + 12 = 20 items. The ratio is 8:12, which simplifies to 2:3.
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