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Look at this diagram, which shows two-fifths of a rectangle shaded.

 

Fraction rectangle 2/5

 

Let's multiply two-fifths by 2.

This will give 2 lots of two-fifths.

 

2 + 2 = 4
5 5 5

 

This gives four-fifths shaded as shown.

 

Fraction rectangle 4/5

 

So

2 × 2 = 4
5 5

 

 

Now let's multiply two-fifths by 3.

This will be 3 lots of two-fifths.

 

2 + 2 + 2 = 6
5 5 5 5

 

This gives six-fifths shaded as shown.

 

Fraction rectangle   Fraction rectangle

 

So

3 × 2 = 6 = 1 1
5 5 5

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