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8.05 Multiply fractions by whole numbers

Interactive practice questions

We are going to work out how to represent $3\times\frac{4}{5}$3×45 on the number line.

a

First mark $\frac{4}{5}$45 on the number line.

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b

Now mark $3\times\frac{4}{5}$3×45 on this number line.

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Easy
1min

We are going to work out how to represent $2\times\frac{7}{8}$2×78 on the number line.

Easy
1min

We are going to work out how to represent $2\times\frac{7}{4}$2×74 on the number line.

Medium
1min

We are going to work out how to represent $3\times\frac{3}{5}$3×35 and $9\times\frac{1}{5}$9×15 on the number line.

Medium
2min
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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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