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The common denominator model, while not really a picture, demonstrates that the same rules apply to multiplication and division with fractions. It also shows why “invert and multiply” works.
This lesson will build understanding of division using place value.
JEFF GREGG, DIANA UNDERWOOD GREGG, Measurement and Fair-Sharing Models for Dividing Fractions, Mathematics Teaching in the Middle School, Vol. 12, No. 9 (MAY 2007), pp. 490-496 ...
Such difficulties are not limited to fraction estimation problems nor do they end in 8th grade. On standard fraction addition, subtraction, multiplication, and division problems with equal ...
The authors annalyzed the solutions to describe the students' constructions of division-of-fractions concepts and procedures. All strategies that the students used represented some manifestation of ...
A fifth-grader’s understanding of fractions and long division predicts their knowledge of algebra and overall math achievement in high school, according to new research published in the journal ...