11-5 Number Lines and Equivalent Fractions

Reteaching
Name
11-5
Number Lines and
Equivalent Fractions
Write two equivalent fractions that name the point on the number line.
0
1
Step 1 Count the number of tick
marks from 0 to 1.
Step 2 Count the number of tick
marks from 0 to where the
point is.
On this number line, there are 12.
That tells you the denominator of
one fraction is 12.
Step 3 12 is an even number, so
it can be divided by 2.
12 ⫼ 2 ⫽ 6
There are 8. That tells you the
numerator of the fraction is 8.
You now know one fraction that
8.
names the point is ___
12
If you count every second tick
mark from 0 to 1, you will count
6 tick marks. The denominator of
another fraction is 6.
Now, count every second tick
mark from 0 to the location of
the point. There are 4, so the
numerator of the fraction is 4. An
8 is __
4.
equivalent fraction to ___
12
6
8 ⫽ __
4
___
12
6
Write two fractions that name the point on the number line.
1.
0
1
_4 ; _2 or _1
8 4
2
2.
0
6 _
__
;3
1
10 5
3 and __
3 equivalent fractions? Draw a number line to
3. Draw a Diagram Are __
8
4
show your answer.
No, _38 and _34 are not equivalent fractions.
0
3
8
3
4
1
R 11•5
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