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# Math Grade 4 - PowerPoint PPT Presentation

Math Grade 4. Mrs. Ennis Adding and Subtracting Fractions Part 2 Lesson Twenty-Three. 451 + X + 127 = 891 87,004 – 25,987 = 7 x R = 56 32 ÷ 4 = What is the product of 3 and 5? (>, <, =) 5ft. _________2 yards. 7. What is the area (length x width) of this figure?

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Presentation Transcript

Mrs. Ennis

Adding and Subtracting Fractions Part 2

Lesson Twenty-Three

87,004 – 25,987 =

7 x R = 56

32 ÷ 4 =

What is the product of 3 and 5?

(>, <, =) 5ft. _________2 yards

8. What is 200 more than 8,956?

9. It takes Nancy 15 minutes to walk a mile. How many miles would she walk in 1½ hours?

1m

1m

10m

6m

10. Larry reads an average of 20 pages an hour. How many hours will it take him to read a book with 160 pages?

Adding and Subtracting Mixed Numerals hours will it take him to read a book with 160 pages?

Vocabulary hours will it take him to read a book with 160 pages?

A proper fraction has a numerator that is less than its denominator.

An improper fraction has a numerator that is more than or equal to its denominator.

A mixed number shows the sum of a whole number and a proper fraction.

Examples hours will it take him to read a book with 160 pages?

ImproperFractions

Proper Fractions

5

7

12

9

8

9

10

3

Mixed Numbers

3

17

8

3

20

5

Mixed hours will it take him to read a book with 160 pages?Numbers and Improper Fractions

15

15

15

is an improper fraction.

4

4

4

3

3

4

For example,

We can write improper fractions as mixed numbers.

can be shown as

=

Mixed Numbers to Improper Fractions hours will it take him to read a book with 160 pages?

1 hours will it take him to read a book with 160 pages?

3

4

3

1

Improper Fraction

Mixed Number

Improper Fractions hours will it take him to read a book with 160 pages?

9

4

2

1

4

Improper Fractions hours will it take him to read a book with 160 pages?

2

3

8

3

2

Improper Fractions hours will it take him to read a book with 160 pages?

15

4

3

3

4

Writing Mixed Numbers as Improper Fractions hours will it take him to read a book with 160 pages?

• Multiply the denominator of the fraction by the whole number.

• Add the product to the numerator.

• The resulting sum is the numerator of the improper fraction.

• The denominator remains the same.

Example hours will it take him to read a book with 160 pages?

2

14

4

3

3

Denominator stays the same.

4 X 3

+ 2 = 14

Example hours will it take him to read a book with 160 pages?

4

19

3

5

5

Denominator stays the same.

3 X 5

+ 4 = 19

Example hours will it take him to read a book with 160 pages?

1

5

2

2

2

Denominator stays the same.

2 X 2

+ 1 = 5

Example hours will it take him to read a book with 160 pages?

4

34

6

5

5

Denominator stays the same.

6 X 5

+ 4 = 34

Improper Fractions to Mixed Numbers hours will it take him to read a book with 160 pages?

Improper hours will it take him to read a book with 160 pages?Fractions to Mixed Numbers

+

+

+

+

=

1

1

1

1

8

5

8

8

8

5

=

+

+

+

+

8

8

8

8

8

8

37

37

=

8

8

4

4

5

8

Convert to a mixed number.

Improper hours will it take him to read a book with 160 pages?Fractions to Mixed Numbers

+

+

+

+

=

1

1

1

1

3

3

3

3

2

2

=

+

+

+

+

3

3

3

3

3

3

14

14

=

3

3

4

4

2

3

Convert to a mixed number.

Improper hours will it take him to read a book with 160 pages?Fractions to Mixed Numbers

+

+

+

=

1

1

1

5

5

3

5

3

=

+

+

+

5

5

5

5

5

18

18

=

5

5

3

3

5

Convert to a mixed number.

Writing Improper Fractions as Mixed Numbers hours will it take him to read a book with 160 pages?

• If you have an improper fraction, you can divide the denominator into the numerator.

• The quotient becomes the whole number part of the mixed number.

• The remainder is the numerator of the fraction.

• The divisor is the denominator of the fraction.

Example hours will it take him to read a book with 160 pages?

13

2

whole number

5

5

13

10

3

numerator

denominator

3

2

5

=

Example hours will it take him to read a book with 160 pages?

23

5

whole number

4

4

23

20

3

numerator

denominator

3

5

4

=

Example hours will it take him to read a book with 160 pages?

19

9

whole number

2

2

19

18

1

numerator

denominator

1

9

2

=

Example hours will it take him to read a book with 160 pages?

36

6

whole number

6

6

36

36

0

numerator

denominator

6

=

Let’s hours will it take him to read a book with 160 pages?try it!

1

3

Change each improper fraction into a mixed numeral.

1

=

4

3

1

2

1

6

4

2

4

1

=

=

2

3

1

14

8

6

8

1

=

=

Let’s hours will it take him to read a book with 160 pages?try it!

3

=

Change each improper fraction into a mixed numeral.

21

7

17

3

2

3

5

=

1

5

3

32

10

2

10

3

=

=

17 hours will it take him to read a book with 160 pages?

5

2

5

=

3

Change each mixed numeral into an improper fraction.

21

8

5

8

=

2

4

5

=

3

19

5

56 hours will it take him to read a book with 160 pages?

9

2

9

=

6

Change each mixed numeral into an improper fraction.

33

7

5

7

=

4

2

5

=

8

42

5

Adding hours will it take him to read a book with 160 pages? Mixed Numerals with Like Denominators

Adding hours will it take him to read a book with 160 pages?Mixed Numbers

with fractions and whole numbers lining up.

2

7

2. Make sure your fractions have the same denominator.

6

5. Make sure any fractions are in simplest form.

3

7

4

+

10

5

7

Adding hours will it take him to read a book with 160 pages?Mixed Numbers

with fractions and whole numbers lining up.

6

9

2. Make sure your fractions have the same denominator.

3

5. Make sure any fractions are in simplest form.

1

9

5

+

8

7

9

Adding hours will it take him to read a book with 160 pages?Mixed Numbers

with fractions and whole numbers lining up.

6

10

2. Make sure your fractions have the same denominator.

4

5. Make sure any fractions are in simplest form.

2

10

5

+

9

8

10

4

5

=

Adding hours will it take him to read a book with 160 pages?Mixed Numbers

with fractions and whole numbers lining up.

4

10

2. Make sure your fractions have the same denominator.

5

5. Make sure any fractions are in simplest form.

6

10

2

+

7

1

=8

10

10

+

=

Adding hours will it take him to read a book with 160 pages?Mixed Numbers

2

9

3

9

11

9

=1

6

8

9

4

=11

2

9

+

10 + 1

2

9

10

11

9

2

9

=11

Adding hours will it take him to read a book with 160 pages?Mixed Numbers

2

4

3

4

6

4

=1

7

3

4

4

=12

1

2

+

11 + 1

1

2

11

6

4

1

2

=12

Adding hours will it take him to read a book with 160 pages?Mixed Numbers

2

5

=1

5

5

2

3

5

5

= 8

+

7 + 1

7

5

5

= 8

Subtracting hours will it take him to read a book with 160 pages? Mixed Numerals with Like Denominators

Subtracting hours will it take him to read a book with 160 pages?Mixed Numbers

with fractions and whole numbers lining up.

5. Make sure any fractions are in simplest form.

3. Determine whether you need to make improper fractions.

5

7

2. Make sure your fractions have the same denominator.

6

_

3

7

4

2

2

7

Subtractinging hours will it take him to read a book with 160 pages?Mixed Numbers

5. Make sure any fractions are in simplest form.

3. Determine whether you need to make improper fractions.

with fractions and whole numbers lining up.

6

9

2. Make sure your fractions have the same denominator.

8

3

9

1

3

=

_

3

9

2

6

6

3

9

1

3

Subtracting hours will it take him to read a book with 160 pages?Mixed Numbers

4

7

5. Make sure any fractions are in simplest form.

with fractions and whole numbers lining up.

6

46

7

3. Determine whether you need convert mixed numerals to improper fractions.

2. Make sure your fractions have the same denominator.

=

_

6

7

3

27

7

=

19

7

5

7

2

=

Subtracting hours will it take him to read a book with 160 pages?Mixed Numbers

3

9

5. Make sure any fractions are in simplest form.

with fractions and whole numbers lining up.

8

75

9

3. Determine whether you need convert mixed numerals to improper fractions.

2. Make sure your fractions have the same denominator.

=

_

5

9

1

14

9

=

61

9

7

9

6

=

Subtracting hours will it take him to read a book with 160 pages?Mixed Numbers

3

8

5. Make sure any fractions are in simplest form.

with fractions and whole numbers lining up.

3

27

8

3. Determine whether you need convert mixed numerals to improper fractions.

2. Make sure your fractions have the same denominator.

=

_

5

8

5

8

=

3

4

22

8

6

8

2

2

=

Subtracting hours will it take him to read a book with 160 pages?Mixed Numbers

1

4

5. Make sure any fractions are in simplest form.

with fractions and whole numbers lining up.

5

21

4

3. Determine whether you need convert mixed numerals to improper fractions.

2. Make sure your fractions have the same denominator.

=

_

3

4

3

15

4

=

6

4

2

4

1

2

1

=

Online Practice hours will it take him to read a book with 160 pages?

http://www.aaamath.com/fra66ex2.htm

Math Fun: hours will it take him to read a book with 160 pages?

Sharon has fewer than 20 coins. When she puts them in piles of 5, she has 1 left over. When she puts them in piles of 3, she also has 1 left over. How many coins does Sharon have?

Answer: hours will it take him to read a book with 160 pages?

Sharon has 16 coins.

5+5+5+1 = 16

3+3+3+3+3+1 + 16

Answer: hours will it take him to read a book with 160 pages?

Sylvia has 39 coins.

6+6+6+6+6+6+3 = 39

5+5+5+5+5+5+5+4 = 39

Math Fun: hours will it take him to read a book with 160 pages?

Sylvia has fewer than 40 coins but more than 10. If she puts them in piles of 6, she has 3 left over. If she puts them in piles of 5, she has 4 left over. How many coins does Sylvia have?

Resources: hours will it take him to read a book with 160 pages?

http://mathlearnnc.sharpschool.com/UserFiles/Servers/Server_4507209/File/Instructional%20Resources/G4WW1-4.pdf

• http://www.aaamath.com/fra66ex2.htm

• http://www.mrhammond.org/math/mathlessons/