Fractions

A Fraction is a part of a whole

A numerator

B denominator

Numerator

o is t he top number of a f r ac t i on

o i t te l ls you how many par ts o f a whole you have accounted f o r

Denominator

o is t h e bot tom number o f a f rac t ion

o i t te l ls you how many par ts you have al together

(in a proper f rac t i on the numerator should be equal to or less than the

denominator)

f i t - > \ I4

Name Date

H ractions of a Set (1)

Write the fraction for the shaded part of each set.

1. 2.

Shade each fractional part.

4. Shade f .

7. Shade 10"

A A A A A

Write each fraction.

10. seven eighths _

13. one third

A A A

5. Shade

8. Shade

• • • • •

11. one half

14. two sixths

6. Shade ~.

9. Shade 2'

12. three tenths

15. two fifths

Grade 5 Use with Unit 4, Activity 2. 5 9

Name Date

F ractions of a Region

Part of each region is shaded. Write a fraction for it.

1. 2.

4. 5. 6.

i

i

15.

i

16. Write your answers for problems 2, 3, 4, 5, 9, and 15.

Now write them in order from least to greatest.

Grade 5 Use with Unit 4, Activity 1.

Name Date

^Represent ing Fractions

Divide each figure. Shade it to show the fraction.

Comparing Fractions

1. You can use equivalent fractions to compare two or more fractions with different denominators.

Example: which is greater 2 or £ ? 4 o

Find the equivalent fractions to make it easier.

2 x 3 = a 4 1 2 3 4

sL is greater than —

A 4 6 6 12

2. If the fractions have the same numerator, then the fraction with the greater denominator is less.

2 2 Example: 12 4

12 is bigger than 4, therefore, g is less than 2 12 4

3. You can also use a benchmark to compare fractions. Think of closer to 1 or closer to 0. i 9

8 10 The further apart the numerator and denominator are the smaller the fraction is.

The closer the numerator and denominator are the bigger the fraction is.

I is close to 0

- is less thanS

is close to a whole - i s less than§.

£ 8 10 10

0

1. Find a fraction that is close to zero. 2. Find a fraction that is close to one. 3. Find a fraction that is close to one half

Quick R e v i e w

j of the circle is shaded.

| of the circle is shaded.

9 of the circle is shaded.

12 of the circle is shaded.

j ' I ' f ' and name the same amount. They are equivalent fractions.

There are patterns in the equivalent fractions. JL JL JL ^ — The numerators are multiples of the least numerator, 1. 3 6 9 12 — The denominators are multiples of the least denominator, 3.

> You can multiply or divide the numerator and the denominator of a fraction by the same number to find equivalent fractions.

-x 6 - 1§ ~ 24

-x 6-

12 16

- - 4 -

T r y T h e s e j

Write 3 equivalent fractions for each picture.

1. 2- ooooo ooooo ooooo ooooo

3.

6 8 Copyright © 2009 Pearson Education Canada. The right to reproduce this page is restricted to the purchasing school.

Equivalent Fractions Name

The fractions name the shaded area of each whole figure.

3 jz and § are equivalent fractions. 3 D They name the same amount.

Write: i = 2 3 6

mmmmmmmmmmimm

Complete.

2. 3.

v v v

1 2

OO O O o o O D 6.

3 6

10

Write 2 equivalent f ract ions for each shaded area.

* i i . Complete the diagram 2 1 *\ % to show ~ = f . I 2 6 8

m • u V

memmmKmmmmmmmmm

10.

12. Complete the diagram Q O O O

t o s h o w l = l Q O O O

MathQuest 6 TRB For use with MathQuest 6, pages 362 and 363 Reteaching 79

Name Date

aming Equivalent Fractions

Use these drawings. Complete the equivalent fractions.

2 — 2 ~ 6

5 — = — 3 ~ 6

8 ' 4 = 8

11 — = — 1 5 10

14 ^ = — 5 10

3 J _

2 ~ 8

6 " 3 ~ 6

9 ^ = — »• 4 - 8

i p ^ 1 m Z ' 5 " 10

15 5 = _ 5 10

4 ' 2 ~ 10

7 £ = -' • 3 6

10. 4 _ 8

1 3 " 5 ~ 10

62 Grade 5 Use with Unit 4, Activity 3.

Name Date

quivalent Fractions

Write two fractions that name the shaded part of each region or set.

1. ^$&®m^ 2.

o o

Find each missing number. Draw pictures to help you.

7 6 ~ 2

ft 5 1 0

8. Q = —

4. A

¥ ¥

q J2 _ _ y " 12 ~ 6

l u ' 4 8 1 1 . ^ = _2_ 10

3 6 1 2 . ^ =

13 ^ - - 4 -1 J ' ~ 12 14 _ = _o_ 8 10 15. 4 - 1 2

64 Grade 5 Use with Unit 4, Activity 4.

Name: • #

Equivalent Fractions: Worksheet # 3

F».->- - he- equivalent fractions.

' 2 2- 8 3 - o 4 -

8 48 - ~ 12 5 " 20 «:• ' 35

r> 6. "« 7, * ' .6 8 '

*

1 V3 S 40 3 !3 5 r

8 ~ 72" 3 ~ '21' V ~ " i ' § 5 v 0

1 7 5 „ 1S- 5 1 9- 3 _ 2 0 - ; b

6 ~ 42 6 " 54 ~i ~ 16 5 ~ 45

http://math. about com Scorn: /20

Equivalent fractions are fractions that have the same value. They have the same part of the whole. 1 2 4

Fill in the blanks below, the first one is done for you: -— = — = — 2 4 8

2 J £ 1) J ~ J = 24 2)

3 6 12

ox 4 12 20 3 ) = _ _5 = M . = = 20

6 18

s, i . _ . i 5 . . _ ' 7 14 28

6) i = ,2 8 16

7) 1

10 20 40 8)

12 36

9) 6 8

13 26 6 3

1 0 ) ¥ " ~ = 40 = 48

11) 24 48

12) 20

15 3 45

Shade in the Bars to represent 3 equivalent fractions and name the fractions:

http://math.about.com Name:

Equivalent Fractions

1. Using one piece of paper, fo ld the paper in f ou r ths . Shade in one-

f o u r t h .

2. Fold the paper again. What does one- four th equal?

3. Keep folding to generate a list of equivalent f rac t ions.

4. Choose a f rac t ion and explain what happens t o the size of a f rac t ion

when you:

a) double both the numerator and the denominator

b) t r ip le the numerator and double the denominator

c) double the numerator and t r ip le the denominator

In fo rmat ion :

a) Fractions t ha t are close to 1 have numerators and denominators t ha t

are very close in value.

b) Fractions t ha t are close to 0 have numerators t ha t are much smaller

t ha t the i r denominators.

c) Fractions tha t are close to i have denominators t h a t are about twice

the i r numerators.

Questions:

Pick which fraction is :

Comparing and Ordering Fractions Less Than 1

1. closest to 1: 3 /8 , 9 /11, 7 /12, 4 / 5 , 7 / 9

2. closest t o 0: 3 /5 , 3/17, 1/8, 2 / 3 , 2 /13

3. closest to | : 7/13, 2 /7 , 4 / 9 , 6 /11, 8 / 9

Name Date

C - P - ' - S A l i e n s Use the circles to show the fractions.

Then complete the fraction statement with <, >, or =.

2 _3_ 3 5 10 5

Grade 5 Use with Unit 4, Activity 4.

Comparing and Fractions

Quick R e v i e w

Here are some ways to compare and order fractions.

>- To order 4-' 4' and T: 1 ' 1—1 1 •—1 » 1

2 5 3 ' o 1 1 2 1 3 2 4 1

Draw a number line. 5 3 5 2 5 3 5

Divide, mark, and label the number line.

From least to greatest: \* \ \

> To compare j and \ :

List equivalent fractions until the numerators or denominators are the same.

4 _ J _ _ 12 „ 16 _ 20 5 - 1 0 - 1 5 - 2 0 - 2 5

3 _ 6 9 _ _ 1 2 _ 1 5 4 ~ 8 ~ 1 2 - 1 6 - 2 0

Since § > i § , t h e n f > |

or,since i§ > 20 ,then f > f .

1. a) Show thirds, fourths, and sixths on a number line.

b) Use the number line above to order these fractions from least to greatest:

111 3 ' 4 ' 6*

2. Use equivalent fractions to compare the fractions in each pair.

10 a) £ and 9

b) ^and

7 0 Copyright © 2009 Pearson Education Canada. The right to reproduce this page is restricted to the purchasing school.

1. Use the strips below to order these fractions from least to greatest: A, 5 5 4 6 8

2. Use equivalent fractions to compare the fractions in each pair. Write >, <, or =.

a) b) } d) ._2_. 10

3. Which fraction in each pair is greater? Tell how you know. % 3 5

a) gor f

b) f o r f

c) Aor-^-12 24

4. Name 4 fractions that are less than f . Each fraction should have a different denominator.

• • • • • • • Stretch Your Thinking J #

1. Write a fraction to make each statement true.

a) i < °t 100 > 0 < d) > 8

Copyright & 2009 Pearson Education Canada.The right to reproduce this page is restricted to the purchasing school. 7 1

Simplifying Fractions Name

You can find equivalent fractions by either multiplying or dividing. Q

To find an equivalent fraction for ~ , you can

divide both 8 and 12 by a common factor.

mmmmammmm

Divide to find an equivalent fraction in simpler form.

2 4

4 6

3. 12 16

20 30

4. 18 27

21 49

5.

8.

_8_ 10

45 72

_8_ 10

45 72

MathQuest 6 TRB For use with MathQuest 6, page 367 Reteaching 81

Reducing Fractions to Simplest Form

Name

Find an equivalent fraction for ^ that is in simplest form

5 5 1 1 :. 10 10 <*

is in simplest form because 1 is c the only factor that divides both 1 and 2.

Reduce I f , O S i m p , e s H o , m .

Divide by a common factor.

Check: is 1 the only common

factor?

I ? 18

2

12 18

6 q

No. 3 can divide into 6 and 9.

Check: is 1 the only common

factor?

Yes. Only 1 can divide into 2 and 3.

t § reduced to simplest form is io 3

Is the fraction in simplest form? Write yes or no. 10 . 9

2. 15

3. 10

4. 21

32 56

Reduce to simplest form, 12 = 12 r£?s 36 36 <SV 6.

7. 16 40

Simplest form? Divide again.

Simplest form? Divide again.

8. 50 100

2 =

8

Simplest form? Divide again.

10. 12 24

_5_ 10

11. 24 36

82 Reteaching For use with MathQuest 6, pages 368 and 369 MathQuest 6 TRB

Name Date

F ractions of a Set (2)

Draw a picture to solve each problem.

1. Vito has 16 marbles. One half of the 2. Betty has 18 coins. One third of the marbles are red. How many red coins are dimes. How many dimes marbles does he have? does she have?

3. Jeff has 15 books. Two fifths of the books are nonfiction. How many nonfiction books does he have?

4. Marti has 20 pencils. Seven tenths of the pencils have erasers. How many pencils have erasers?

5. Lari has 12 pets. Two thirds of her pets are fish. How many fish does she have?

6. Jerod has 16 videos. One quarter of his videos are on a shelf. How many videos are on the shelf?

7. Toria bought 24 cans of orange juice. Five sixths of the cans of orange juice contain calcium. How many cans do not contain calcium?

8. Sean received 12 cassette tapes in

the mail. He sent j of the tapes

back. How many tapes did he keep?

Grade 5 Use with Unit 4, Activity 2. 61