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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?

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?

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

Stack your problem

with fractions and whole numbers lining up.

2

7

2. Make sure your fractions have the same denominator.

6

3. Add your fractions.

4. Add your whole numbers.

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

Stack your problem

with fractions and whole numbers lining up.

6

9

2. Make sure your fractions have the same denominator.

3

3. Add your fractions.

4. Add your whole numbers.

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

Stack your problem

with fractions and whole numbers lining up.

6

10

2. Make sure your fractions have the same denominator.

4

3. Add your fractions.

4. Add your whole numbers.

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

Stack your problem

with fractions and whole numbers lining up.

4

10

2. Make sure your fractions have the same denominator.

5

3. Add your fractions.

4. Add your whole numbers.

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

Stack your problem

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.

4. Subtract your whole numbers and then your fractions.

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.

Stack your problem

with fractions and whole numbers lining up.

6

9

4. Subtract your whole numbers and then your fractions.

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.

4. Subtract your fractions and then your whole numbers if necessary.

Stack your problem

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.

4. Subtract your fractions and then your whole numbers if necessary.

Stack your problem

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.

4. Subtract your fractions and then your whole numbers if necessary.

Stack your problem

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.

4. Subtract your fractions and then your whole numbers if necessary.

Stack your problem

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

http://www.ixl.com/math/grade-4/add-and-subtract-fractions-with-like-denominators-word-problems

http://www.ixl.com/math/grade-3/add-and-subtract-fractions-with-like-denominators

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/

- http://www.ixl.com/math/grade-4/add-and-subtract-fractions-with-like-denominators-word-problems

- http://www.teachingideas.co.uk/maths/contents08fracdecperratprop.htm

- http://www.ixl.com/math/grade-3/add-and-subtract-fractions-with-like-denominators

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