Fractions Packet - Examples And Worksheets With Answers Page 4
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42Complementary Fractions
Fractions tell us how many parts are in a whole and how many parts to count.
The form also tells us how many parts have not been counted (the complement).
The complement completes the whole and gives opposite information that can
be very useful.
3
says, “Count 3 of 4 equal parts.” That means 1 of the 4 was not counted and
4
is somehow different from the original 3.
3
1
3
1
4
implies another
(its complement). Together,
, the whole
and
make
4
4
4
4
4
thing.
5
says, “Count 5 of 8 equal parts.” That means 3 of the 8 parts have not been
8
3
5
3
8
counted, which implies another
, the complement. Together,
make
,
and
8
8
8
8
which is equal to one.
Complementary Situations
5
It’s 8 miles to town, We have driven 5 miles. That’s
of the way, but we still
8
3
have 3 miles to go to get there or
of the way.
8
5
3
8
= 1 (1 is all the way to town).
+
=
8
8
8
7
A pizza was cut into 12 pieces. 7 were eaten
. That means there are 5 slices
12
5
7
5
12
left or
of the pizza.
= 1 (the whole pizza).
+
=
12
12
12
12
Mary had 10 dollars. She spent 5 dollars on gas, 1 dollar on parking, and 3
dollars on lunch. In fraction form, how much money does she have left?
5
1
3
Gas =
, parking =
, lunch =
10
10
10
5
1
3
9
1
;
is the complement (the leftover money)
+
+
=
10
10
10
10
10
10
Altogether it totals
or all of the money.
10
Fractions Packet
Created by MLC @ 2009 page 4 of 42
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