Math grade 4
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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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Math Grade 4

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Math grade 4

MathGrade 4

Mrs. Ennis

Adding and Subtracting Fractions Part 2

Lesson Twenty-Three


Math grade 4

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


Math grade 4

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


Math grade 4

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


Math grade 4

Adding and Subtracting Mixed Numerals


Vocabulary

Vocabulary

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

Examples

ImproperFractions

Proper Fractions

5

7

12

9

8

9

10

3

Mixed Numbers

3

17

8

3

20

5


Mixed numbers and improper fractions

Mixed 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

Mixed Numbers to Improper Fractions


Math grade 4

1

3

4

3

1

Improper Fraction

Mixed Number


Improper fractions

Improper Fractions

9

4

2

1

4


Math grade 4

Improper Fractions

2

3

8

3

2


Improper fractions1

Improper Fractions

15

4

3

3

4


Writing mixed numbers as improper fractions

Writing Mixed Numbers as Improper Fractions

  • 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

Example

2

14

4

3

3

Denominator stays the same.

4 X 3

+ 2 = 14


Example1

Example

4

19

3

5

5

Denominator stays the same.

3 X 5

+ 4 = 19


Example2

Example

1

5

2

2

2

Denominator stays the same.

2 X 2

+ 1 = 5


Example3

Example

4

34

6

5

5

Denominator stays the same.

6 X 5

+ 4 = 34


Improper fractions to mixed numbers

Improper Fractions to Mixed Numbers


Improper fractions to mixed numbers1

Improper 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 fractions to mixed numbers2

Improper 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 fractions to mixed numbers3

Improper 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

Writing Improper Fractions as Mixed Numbers

  • 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.


Example4

Example

13

2

whole number

5

5

13

10

3

numerator

denominator

3

2

5

=


Example5

Example

23

5

whole number

4

4

23

20

3

numerator

denominator

3

5

4

=


Example6

Example

19

9

whole number

2

2

19

18

1

numerator

denominator

1

9

2

=


Example7

Example

36

6

whole number

6

6

36

36

0

numerator

denominator

6

=


Let s try it

Let’s 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 try it1

Let’s 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

=

=


Math grade 4

17

5

2

5

=

3

Change each mixed numeral into an improper fraction.

21

8

5

8

=

2

4

5

=

3

19

5


Math grade 4

56

9

2

9

=

6

Change each mixed numeral into an improper fraction.

33

7

5

7

=

4

2

5

=

8

42

5


Adding mixed numerals with like denominators

Adding Mixed Numerals with Like Denominators


Math grade 4

AddingMixed 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


Math grade 4

AddingMixed 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


Math grade 4

AddingMixed 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

=


Math grade 4

AddingMixed 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

+

=


Math grade 4

AddingMixed 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


Math grade 4

AddingMixed 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


Math grade 4

AddingMixed Numbers

2

5

=1

5

5

2

3

5

5

= 8

+

7 + 1

7

5

5

= 8


Math grade 4

Subtracting Mixed Numerals with Like Denominators


Math grade 4

SubtractingMixed 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


Math grade 4

SubtractingingMixed 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


Math grade 4

SubtractingMixed 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

=


Math grade 4

SubtractingMixed 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

=


Math grade 4

SubtractingMixed 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

=


Math grade 4

SubtractingMixed 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

Online Practice

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

Math Fun:

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

Answer:

Sharon has 16 coins.

5+5+5+1 = 16

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


Answer1

Answer:

Sylvia has 39 coins.

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

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


Math fun1

Math Fun:

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?


Math grade 4

Resources:

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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