How to calculate a ratio

Mathematics

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Answer

A ratio is a comparison of two or more quantities. It shows how much of one quantity there is compared to another.

Step-by-step solution

3 steps
  1. Identify the two quantities you want to compare.

    Let's call them Quantity A and Quantity B.

  2. Express the relationship between these quantities.

    This can be done in a few ways:

    • As a fraction: Quantity AQuantity B\frac{\text{Quantity A}}{\text{Quantity B}}
    • Using a colon: Quantity A:Quantity B\text{Quantity A} : \text{Quantity B}
    • Using the word "to": Quantity A to Quantity B\text{Quantity A to Quantity B}
  3. Simplify the ratio to its lowest terms, if possible, by dividing both quantities by their greatest common divisor.

    Example: If there are 5 apples and 10 oranges, the ratio of apples to oranges is:

    510=12\frac{5}{10} = \frac{1}{2}

    or

    5:10=1:25:10 = 1:2

    This means for every 1 apple, there are 2 oranges.

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