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\[ \text { Learn with an example or } \] Josie collected \( 1 / 2 \) of a bin of glass bottles to recycle. Mia collected \( 35 / 6 \) times as many bir a video as Josie. How many bins of bottles did Mia collect? Write your answer as a fraction or as a whole or mixed number. \( \square \) bins Submit

Ask by Christensen Pena. in the United States
Feb 04,2025

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Mia collected \( \frac{35}{12} \) bins or \( 2 \frac{11}{12} \) bins of glass bottles.

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To find out how many bins of bottles Mia collected, we'll multiply the amount of bins Josie collected by the factor of \( 35/6 \). Mia's collection: \[ \text{Mia's bins} = \left(\frac{1}{2}\right) \times \left(\frac{35}{6}\right) \] To multiply the fractions: \[ \text{Mia's bins} = \frac{1 \times 35}{2 \times 6} = \frac{35}{12} \] Now, to convert \( \frac{35}{12} \) to a mixed number, divide 35 by 12. It goes 2 times with a remainder of 11. So, \( \frac{35}{12} = 2 \frac{11}{12} \). Mia collected \( 2 \frac{11}{12} \) bins of bottles. Hence, the answer is: \( 2 \frac{11}{12} \) bins.

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