You can derive a ratio from a fraction by understanding what the numerator and denominator represent in relation to the whole, and then expressing this relationship as a ratio.
The reference video explains this concept using the fraction 3/5 as an example.
- Understanding the Fraction: In the fraction 3/5, the bottom number (denominator), 5, represents the total.
- Ratio Interpretation: The fraction 3/5 can be interpreted as a ratio comparing a part to the whole or a part to another part.
- Part-to-Whole Ratio: The ratio of the part (numerator, 3) to the total (denominator, 5) is 3:5.
- Part-to-Part Ratio: To find the ratio of the part (numerator, 3) to the remaining part, subtract the numerator from the denominator (5 - 3 = 2). The ratio is then 3:2. This means for every 3 units of one part, there are 2 units of the other part that make up the whole.
Example:
Let's say you have a pizza cut into 5 slices, and you eat 3 slices.
- Fraction: You ate 3/5 of the pizza.
- Ratio of slices eaten to total slices: 3:5
- Ratio of slices eaten to slices remaining: 3:2
