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Anna has \( \frac{1}{3} \) yard of yellow ribbon and \( \frac{4}{12} \) foot of green ribb She says she has the same length of both color ribbons. Is correct? Explain.

Ask by Beck Burgess. in the United States
Mar 17,2025

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Anna does not have the same length of yellow and green ribbons.

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The Deep Dive

To compare the lengths of the ribbons, we first need to express them in the same unit. Anna has \( \frac{1}{3} \) yard of yellow ribbon. Since there are 3 feet in a yard, we can convert yards to feet: \[ \frac{1}{3} \text{ yard} = \frac{1}{3} \times 3 = 1 \text{ foot}. \] Now for the green ribbon, \( \frac{4}{12} \) foot can be simplified: \[ \frac{4}{12} = \frac{1}{3} \text{ foot}. \] Now we can compare the two lengths: Anna has 1 foot of yellow ribbon and \( \frac{1}{3} \) foot of green ribbon. Clearly, 1 foot is longer than \( \frac{1}{3} \) foot, so Anna is incorrect.

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