Topic Content:
- Equivalent Ratio
- Simplifying Ratio
A ratio is a way of comparing two or more quantities. The ratio is a relationship between two numbers indicating how many times the first number contains the second for example, if a basket contains, 8 oranges and 5 mangoes the ratio of oranges to mangoes is 8 ratio 5, written as 8:5 or 8 to 5.
‘Ratio’ can be written in the following form.
1. m : n
2. m to n
3. \( \frac{m}{n} \) (as fraction)
Equivalent Ratio:
Equivalent Ratios are Equal Ratios
Example:
a. 3 : 4, 6 : 8, 9 : 12, 12 : 16 are equivalent ratios because:
3 : 4 = 3 × 2 : 4 × 2 = 6 : 8
= 3 × 3 : 4 × 3: 4 × 2 = 9 : 12
= 3 × 4 : 4 × 4 = 12 : 16
b. 100 : 50, 50 : 25, 20 : 10, 10 : 5 are equivalent because
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