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Fractions 1 Equivalent Fractions
1. Equivalent Fractions
This is an important topic. You need to understand equivalent fractions well before learning about adding unlike fractions.
= These two fractions are equivalent fractions because they
picture the same amount. You could say that you get to "eat"
the same amount of "pie" either way. In the second picture
1 2
= each slice has just been split into two pieces.
3 6
Splitting the pieces
The arrows on top and below the equivalent fractions show into how many new pieces
each piece was split.
×2
Each slice has been split in two.
3 6
= =
BEFORE: 3 colored pieces, 4 total 4 8
AFTER: 6 colored pieces, 8 total
×2
×3
Each slice has been split into three.
1 3
= =
BEFORE: 1 colored piece, 3 total 3 9
AFTER: 3 colored pieces, 9 total
×3
×4
Each slice has been split into four.
The whole number does not change. 1 4
= 1 = 1
BEFORE: 1 colored piece, 2 total 2 8
AFTER: 4 colored pieces, 8 total
×4
×2
Each slice has been split in two.
1
= =
BEFORE: 1 colored piece, ___ total
AFTER: ___ colored pieces, ___ total
×2
When all of the pieces are split the same way, both the number of colored pieces (numerator)
and the total number of pieces (denominator) get multiplied by the same number.
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2. 1. Connect those fractions that show the same amount. Write the name of each fraction beside it.
1
2
2. Split the pieces and draw the new pieces into the picture. Write down the equivalent fractions.
If you need help, draw also the "helping arrows" above and below the fractions.
a. Split each piece in two. b. Split each piece into three. c. Split each piece in two.
= = =
×2 ×3 ×2
2 1 2
= = =
5 2 3
×2 ×3 ×2
d. Split each piece in two. e. Split each piece into three. f. Split each piece in two.
= = =
= = =
g. Split each piece in two. h. Split each piece in two. i. Split each piece into five.
= = =
= = =
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