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Fractions, Decimals, and Percents

This math unit guides students through a structured exploration of the relationships between fractions, decimals, and percents. Initially, the unit focuses on converting fractions to decimals, helping students understand how these representations are related by providing practice with straightforward conversions. The unit then progresses to converting decimals into fractions, reinforcing inverse operations and deepening comprehension of these concepts. The exercises evolve to include operations involving powers of ten, which scaffold students' ability to manipulate and simplify fractions and decimals in more complex scenarios. This skill is crucial as it leads into converting these simplified forms into percents, a vital aspect of understanding proportional reasoning and the interconnectedness of these mathematical concepts. Toward the end of the unit, students transition from converting fractions and decimals into percents to converting percents back into decimals, mastering the bidirectional flow between these numerical forms. This full-circle understanding equips students with the necessary skills to handle a variety of problems involving fractions, decimals, and percents, emphasizing the application of powers of ten to achieve precision in conversions.

Fractions, Decimals, and Percents

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Convert this fraction to a decimal

6100\frac{6}{100}