Final answer:
An equivalent ratio of a given ratio is formed by multiplying or dividing each part of the ratio by the same number. To find equivalent ratios for 1/3, we multiply each part of the ratio by the same number. For instance, multiplying by 150 produces the ratio 150/450, which simplifies back to 1/3.
Step-by-step explanation:
In mathematics, an equivalent ratio, or proportion, of a given ratio is formed by multiplying or dividing each part (numerator and denominator) of the ratio by the same number. In this case, we are finding equivalent ratios for the basic ratio 1/3.
For instance, if we multiply each part of the ratio 1/3 by 2, we will get an equivalent ratio of 2/6. This is because 1x2 is equal to 2, and 3x2 is equal to 6. Equally, if we multiply each part of the ratio 1/3 by 150, we will get an equivalent ratio of 150/450. This is because 1x150 is 150 and 3x150 is 450.
However, it's crucial to remember that ratios should preferably be in their simplest form. This means if they can be simplified any further, they should be. For example, 150/450 simplifies to 1/3, making 1/3 the simplest form of the ratio.
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