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The significance is that not everything can be expressed with whole numbers. This is especially clear in the case of measurements; a certain unit has been chosen as the standard of length (the meter); the length, width, or height of real-life objects will usually not happen to be an exact multiple of the meter (or close enough to that), so that fractions have to be used.

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Q: What is the significance of the fractions in real life and mathamatic?
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