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Multiply Whole Numbers by Fractions 5th Grade

Texas Essential Knowledge and Skills (TEKS): 5.3.I
represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models;

5th Grade Math - Multiply Whole Numbers by Fractions Lesson

A whole number multiplied by a non-unit fraction can be thought of
as a multiple of a unit fraction with the same denominator.

First, draw three models of

\frac{3}{4}

.

Separate the three groups of

\frac{3}{4}

into three groups that each contain three

\frac{1}{4}

's.

There are nine

\frac{1}{4}

's total.

So,

3 \times \frac{3}{4} = 9 \times \frac{1}{4} = \frac{9}{4}

.

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