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Measurement Modeling Multiplication of a Fraction by a Fraction

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The operation of multiplying two fractions requires us to multiply numerators and denominators. Multiplying Fractions & Whole Numbers Example: 1/3 x 3/4 = 3/12 = 1/4

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When we multiply whole numbers we can model the multiplication to arrive at the answer. Multiplying Fractions & Whole Numbers Example: 4 x 3 4 3

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When can also model the multiplication of fractions in the same way.. Example: 2/3 of 8C/D are boys. Of these, 3/4 are wearing running shoes. What fraction of the class is boys wearing running shoes? Multiplying Fractions & Whole Numbers

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Example: 2/3 of 8C/D are boys. Of these, 3/4 are wearing running shoes. What fraction of the class is boys wearing running shoes? 3/4 of 2/3 are boys wearing running shoes. 3/4 x 2/3 Multiplying Fractions & Whole Numbers

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3/4 x 2/3 Multiplying Fractions & Whole Numbers 2/3 We start with the group, in this case the second fraction, 2/3.

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Multiplying Fractions & Whole Numbers 2/3 Then we divide the square in the other direction to model multiplication by 3/4. 3/4

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Multiplying Fractions & Whole Numbers 2/3 How many small units are shaded under both fractions out of the total square? 3/4 12 34 56

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Multiplying Fractions & Whole Numbers 2/3 6 small units are shaded by both fractions out of 12 total in the whole square. 3/4

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3/4 x 2/3 Multiplying Fractions & Whole Numbers 2/3 3/4 x 2/3 = 6/12 3/4

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Multiplying Fractions & Whole Numbers 1/3 of 1/4 = Try this:

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Multiplying Fractions & Whole Numbers 2/3 of 3/5 = How about this:

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Multiplying Fractions & Whole Numbers Click Here Virtual Manipulative Multiplication of Fractions

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Multiplying Fractions. When we multiply a fraction by an integer we: multiply by the numerator and divide by the denominator For example, 4 9 54 × = 54.

Multiplying Fractions. When we multiply a fraction by an integer we: multiply by the numerator and divide by the denominator For example, 4 9 54 × = 54.

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