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MF.RN.3 Challenge MF-009-A13-V04

Multiply and divide fractions and mixed numbers and interpret the result in context.

Choose the right fraction multiplication or division strategy

Problem

A snack mix is divided into \(1/3\text{-}\text{pound}\) portions, with \(4~1/2~\text{pounds}\) total. Partial portions are allowed. Which complete response correctly finds the number of portions? Strategy A converts \(4~1/2\) to an improper fraction and multiplies by the reciprocal of \(1/3\). Strategy B converts \(4~1/2\) to an improper fraction and multiplies by \(1/3\). Strategy C divides the numerators and denominators separately.

A selection-support diagram for finding the number of one-third-pound portions in four and one-half pounds. It explains the quotient context and gives neutral strategy checks, directing students to select one strategy-and-portion-count pair; it has no blanks, answer labels, or computed quotient. Open full size
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Four variants of this problem type
Curriculum context
Standard
MF.RN.3
Category
Rational Numbers
Domain
Fractions
Objective
Multiply and divide fractions and mixed numbers and interpret the result in context.
Problem type
Choose the right fraction multiplication or division strategy