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8.06 Multiply fractions by fractions

Interactive practice questions

The rectangle of blocks below represents what happens when $\frac{1}{3}$13 is multiplied by $\frac{1}{5}$15.

The sides of the rectangle both represent $1$1 and all of the blocks together make up $1$1 whole.

  $\frac{1}{5}$15

$\frac{1}{3}$13




Using the block representation, find the value of $\frac{1}{3}\times\frac{1}{5}$13×15.

Easy
< 1min

The rectangle of blocks below represents what happens when $\frac{1}{3}$13 is multiplied by $\frac{4}{5}$45.

The sides of the rectangle both represent $1$1 and all of the blocks together make up $1$1 whole.

Easy
< 1min

The rectangle of blocks below represents what happens when $\frac{2}{3}$23 is multiplied by $\frac{2}{5}$25.

The sides of the rectangle both represent $1$1 and all of the blocks together make up $1$1 whole.

Easy
< 1min

Find the value of $\frac{1}{3}\times\frac{1}{10}$13×110.

Medium
< 1min
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Outcomes

5.NF.B.4

Apply and extend previous understandings of multiplication to multiply a fraction by a whole number and a fraction by a fraction.

5.NF.B.4a

A. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts. For example, use a visual fraction model to show (2/3) x 4 = 8/3, and create a story context for this equation.

5.NF.B.4b

B. Interpret the product of a fraction multiplied by a fraction (a/b) x (c/d). Use a visual fraction model and create a story context for this equation. For example, use a visual fraction model to show (2/3) x (4/5) = 8/15, and create a story context for this equation. In general, (a/b) x (c/d) = ac/bd.

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