Name
Number and Operations — Fractions
4.NF.1, 4.NF.5
Lesson 4
Equivalent
Fractions
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Write the fraction for the part that is shaded.
Then find two equivalent fractions.
Find the fraction that represents the shaded part.
4
8
number of shaded parts
_
total number of parts
Find equivalent fractions.
Multiply the numerator and denominator
by the same number, for example, 2.
4 × 2
_
8 × 2
=
=
8
_
16
Multiply the numerator and denominator by another number,
for example, 3.
4 × 3
_
8 × 3
=
=
12
_
24
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4
So, the fraction represented by the circle is _.
8
8
12
Two equivalent fractions are _ and _.
24
16
Practice
Write the fraction for the part that is shaded. Then find an
equivalent fraction.
1.
2.
Lesson 4 My Homework509
Write the fraction for the part that is shaded. Then find an
equivalent fraction.
3.
4.
Find an equivalent fraction for each fraction.
20
5. _
100
2
6. _
8
90
7. _
100
Algebra Find each unknown.
6
x
8. _ = _
2
12
3
x
9. _ = _
10
100
x=
x=
10
5
10. _ = _
x
8
x=
Problem Solving
2
11.
Use Number Sense Janie has 4 pieces of fruit.
Two of the pieces of fruit are bananas. Write two fractions that
describe the fraction of fruit that are bananas.
Test Practice
4
13. Laura delivers newspapers. She spent _ of her savings on a new CD.
12
Which equivalent fraction shows the amount Laura spent?
A
B
1
_
9
1
_
3
C
D
2
_
8
2
_
3
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12. A box contains 4 red pencils and 6 black pencils. What fraction
of the pencils are red? Write two equivalent fractions.