Division as Fractions

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Questions and Answers

Draw a picture to show the division. Write a division expression using unit form. Then, express your answer as a fraction. The first one is partially done for you. 1 ÷ 5 = 5 fifths ÷ 5 = 1 fifth = 1/5. What is the answer to 3 ÷ 4, expressed as a fraction?

3/4

Flashcards

Division Expression

A mathematical expression showing how many times one number is contained in another.

Unit Form

Expressing a number as a whole number of units, like '5 fifths'.

Fraction

A part of a whole expressed as 'numerator/denominator'.

Interpretation of Fractions

Understanding a fraction as a division operation.

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3 ÷ 4

Expresses how many 4s fit in 3.

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6 ÷ 4

How many 4s fit in 6, expressed as a division problem.

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5 Fifths

Represents 1 whole as 5 equal parts.

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Division as Sharing

Understanding division as distributing a quantity evenly.

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Part to Whole Relationship

The connection between a part (numerator) and its whole (denominator).

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Visual Representation

Using drawings to show division and fractions.

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Study Notes

Division as Fractions

  • Expressing division as a fraction involves writing a division expression using unit form and then expressing the answer as a fraction.
  • Example: 1 5/5 fifths ÷ 5 = 1 fifth = ⁵⁄₅
  • Another example: 3 ÷ 4 = ¾
  • Yet another example: 6 ÷ 4 = ⁶⁄₄

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