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martin decided to buy 3 bags of grapes weighing 4 \\(\\frac{1}{5}\\) po…

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

Explanation:

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.

Answer:

\( 12\frac{3}{5} \) pounds (corresponding to the option "12\(\frac{3}{5}\) pounds")