Page 181 - Math Smart - 7

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© Find two fractions that are equivalent to ^

Solution Equivalent fractions are
Q
To find an equivalent fraction to ^ we can also divide both the numerator fractions that are equal
and denominator by the same number. in value even though
Here we divide by 2, or we divide twice by 2 (this is the same as dividing by 4). their numerators or
denominators are not the
■r2 -r2
same.
_8_ _4 2
A A

20 10 20 10 5
-5-2 ^2 4-2
^ and I are equivalent to ^ .

© Fill in the blank.

7 _ □
8 " 40
Solution
X 5
We multiply the denominator 8 by 5 to get 40.
2^"^ 35
To find an equivalent fraction of we should also 8V_>40
multiply the numerator by 5. X 5

So ^ 8 - 40 ■
50, ^

8.2.2 Simplifying fractions

Look at the fraction wall below.

I and ^ are equivalent

fractions.
We say that ^ is the simplest form

of

4' 8'^ ie ai'eequivalent
fractions.
1 1 1 1 1
7 7 7 7 7 7 We say that is the simplest
1 1 1 1 1 1 1 1
8 8 8 8 8 8 8 8 form of .
1 1 1 1 1 1 1 1
9 9 9 9 9 9 9 9 9
A fraction that cannot be
JL J_ ± 1 1 1 1 1 j_ simplified further is said to be in
10 10 10 10 10 10 10 10 10 10
1 1 1 1 1 1 1 1 1 1 its simplest form or lowest terms.
11 11 11 11 11 11 11 11 11 11 11
J. 1. 1 ± 1 1 1 1 1 1 1
12 12 12 12 12 12 12 12 12 12 12 12