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Question
billy and sam are collecting clothes for a clothing drive. sam collected 3/4 as many clothes as billy did. if billy collected 1 1/2 bags of clothes, how many bags of clothes did sam collect? simplify your answer and write it as a fraction or as a whole or mixed number. bags submit
Step1: Convert mixed number to improper fraction
Billy collected \(1\frac{1}{2}\) bags, which is \(\frac{3}{2}\) bags.
Step2: Multiply by the fraction for Sam's collection
Sam collected \(\frac{3}{4}\) of Billy's amount, so calculate \(\frac{3}{4} \times \frac{3}{2}\).
\(\frac{3}{4} \times \frac{3}{2} = \frac{9}{8}\)
Step3: Convert improper fraction to mixed number
\(\frac{9}{8} = 1\frac{1}{8}\)
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\(1\frac{1}{8}\)