Equivalent Ratios
Ratios that have the same value when written in simplest form.
Equivalent ratios are ratios that have the same value, even though the numbers in the ratio may be different. This means that the ratios can be simplified or expressed in different forms while they still represent the same relationship between two quantities.
To find equivalent ratios, you can multiply or divide both parts of the ratio by the same number. For example, if you have a ratio of 2:3, you can find an equivalent ratio by multiplying both parts by the same number, say 2. This would give you a ratio of 4:6, which is equivalent to 2:3.
Similarly, you can find equivalent ratios by dividing both parts of the ratio by the same number. Continuing with the above example, you can divide both parts by 2 to get a ratio of 1:1.5, which is also equivalent to 2:3.
It is important to note that equivalent ratios are often used in solving problems that involve proportions or scaling. In such cases, it is necessary to find a ratio that represents the same relationship between two quantities, but with different numerical values.
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