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Question
martin decided to buy 3 bags of grapes weighing 4 \\(\frac{1}{5}\\) pounds each. how much did all 3 bags of grapes weigh? \\(\bigcirc\\) 1 \\(\frac{1}{5}\\) pounds \\(\bigcirc\\) 7 \\(\frac{1}{5}\\) pounds \\(\bigcirc\\) 12 \\(\frac{1}{5}\\) pounds \\(\bigcirc\\) 12 \\(\frac{3}{5}\\) pounds
Step1: Convert mixed number to improper fraction
Each bag weighs \( 4\frac{1}{5} \) pounds. Convert \( 4\frac{1}{5} \) to an improper fraction: \( 4\frac{1}{5}=\frac{4\times5 + 1}{5}=\frac{21}{5} \) pounds.
Step2: Multiply by number of bags
There are 3 bags, so total weight is \( 3\times\frac{21}{5}=\frac{63}{5} \).
Step3: Convert back to mixed number
Convert \( \frac{63}{5} \) to a mixed number: \( \frac{63}{5}=12\frac{3}{5} \) pounds.
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\( 12\frac{3}{5} \) pounds (corresponding to the option "12\(\frac{3}{5}\) pounds")