Comparing More Than Two Fractions And Writing Fractions From Least To Greatest - Fractions Worksheet With Answers

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ANSWERS PAGE 1
COMPARING MORE THAN TWO FRACTIONS
WRITING FRACTIONS FROM LEAST TO GREATEST
BEFORE YOU START THIS HANDOUT YOU SHOULD KNOW HOW TO COMPARE TWO FRACTIONS
AND FIND THEIR COMMON DENOMINATORS. COMPARING MORE THAN TWO FRACTIONS IS HARDER
BUT WE WILL SHOW YOU SOME TRICKS TO MAKE IT A LITTLE EASIER. LET'S GET STARTED.
THE FIRST THING YOU NEED TO UNDERSTAND
IS WHAT IS ONE-HALF AND WHETHER OR NOT A
FRACTION IS GREATER OR LESS THAN ONE-HALF.
1
IS THE MIDDLE POINT OR WHERE SOMETHING
2
IS SPLIT INTO TWO EQUAL PIECES.
TO FIND HALF OF A NUMBER JUST DIVIDE IT BY TWO.
2
1
1 IS HALF OF 2,
4
2
1
2
3
4
5
6
7
8
9
10
2 IS HALF OF 4,
=
=
=
=
=
=
=
=
=
2.5
5
2
4
6
8
10
12
14
16
18
20
2.5 IS HALF OF 5,
4.5
9
ALL OF THESE FRACTIONS EQUAL ONE-HALF
4.5 IS HALF OF 9.
DIVIDE BY 2
LET'S USE THIS INFORMATION TO HELP US ESTIMATE THE SIZE OF A FRACTION.
Determine the half way point of each fraction and write if the original fraction is greater, smaller, or equal.
7
4
The half way point,
7
4
4
Divide 8 by 2
is greater than
A.
8
8
equals one-half.
8
8
7
If we were comparing other fractions to
we now know it is one of the larger fractions in the group.
8
9.5
9.5
8
The half way point,
8
9.5
Divide 19 by 2
is smaller than
B.
19
19
equals one-half.
19
19
8
If we were comparing other fractions to
we now know it is one of the smaller fractions in the group.
19
9.5
8
Did you notice that
is very close to
? This means it is almost in the middle.
19
19
Now your turn. Determine the half way point and write if the original fraction is greater, smaller, or equal.
5
8
9
4
13
1.
2.
3.
4.
5.
12
21
10
7
26
10.5
3.5
6
5
13
SMALLER
21
SMALLER
GREATER
GREATER
EQUAL
12
10
7
26
18
2
19
11
7
6.
7.
8.
9.
10.
31
5
38
20
19
15.5
2.5
9.5
19
10
31
GREATER
SMALLER
GREATER
SMALLER
5
38 EQUAL
20
19
LEVEL 1

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