In this activity, we will learn how to find equivalent fractions.
There are 20 small pieces in this bar of chocolate.
There are 5 strips.
The big chunk is 4 strips out of 5.
It is also 16 small pieces out of 20.
So...
4/5 of the bar is equivalent to 16/20
Notice that:
4 x 4 = 16
4 x 5 = 20
We get equivalent fractions by multiplying the numerator (top) and the denominator (bottom) of a fraction by the same number.
Example
Find the values of A, B, C and D to form equivalent fractions.
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Answer
3/9 is the starting fraction.
In the second fraction, we get 6/18 by multiplying the top and bottom of 3/9 by 2.
In the third fraction, we multiply the top and bottom by 3. So A is 3 × 3 = 9.
In the fourth fraction, we multiply the top and bottom by 4. So B is 4 × 9 = 36.
And in the last fraction, we multiply the top and bottom by 5. So C is 5 × 3 = 15 and D is 5 × 9 = 45.
Notice the patterns.
The tops go 3, 6, 9, 12, 15.
The bottoms go 9, 18, 27, 36, 45.
In this activity, we will look for patterns like this.
