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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}\cdot\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}\cdot\frac{1}{10}$13·110.

Medium
< 1min
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Outcomes

5.NF.4.a

Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b using a visual fraction model.

5.NF.4.b

Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

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