Are the ratios 16:4 and 4:1 equivalent?
Answer:
The ratios 16:4 and 4:1 are indeed equivalent as they both simplify to the same ratio of 4:1.
Explanation:
The question asks if the ratios 16:4 and 4:1 are equivalent. To determine this, let’s simplify both ratios to their simplest form. The ratio 16:4 can be simplified by dividing both numbers by 4, which gives us 4:1. On the other hand, the ratio 4:1 is already in its simplest form. As both simplified ratios match, yes, the ratios 16:4 and 4:1 are equivalent.
Just like in Conversion Factors and Dimensional Analysis, a ratio of two equivalent quantities can be used as a unit conversion factor. Similarly, the ratios in question can be considered equivalent as they express the same proportion between two values.
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