adding/subtracting fractions and mixed numbers€¦ · lesson 1 3 add sub fractions.notebook august...

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

There are two ways to find a common denominator...

Find the least common multiple of the denominators

Multiply the denominators together

Copy Notes Copy Notes

Adding/Subtracting Fractions and Mixed Numbers

Find a common denominator if necessary.Change the numerator to match the new value of the denominator.Add/Subtract Numerators, keep the denominator the same.Simplify fraction to lowest terms if needed.

Addition and subtraction of fractions with "LIKE" denominatorsrequires that you combine only the numerators.

310 10

1+

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

Addition and subtraction of fractions with "LIKE" denominatorsrequires that you combine only the numerators.

310 10

1+ 10+3 1With a common denominator,

all you do is add thenumerators together.

Addition and subtraction of fractions with "LIKE" denominatorsrequires that you combine only the numerators.

310 10

1+ 10+3 1With a common denominator,

all you do is add thenumerators together.

410

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

Addition and subtraction of fractions with "LIKE" denominatorsrequires that you combine only the numerators.

310 10

1+ 10+3 1With a common denominator,

all you do is add thenumerators together.

52= Always reduce

your answer tosimplest form.

410

79

49­

Follow the same  rule when subtracting...

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

79

49­ 9

7 ­ 4If there is a commondenominator, just subtract

numerators.

Follow the same  rule when subtracting...

79

49­ 9

7 ­ 4If there is a commondenominator, just subtract

numerators.

39

Follow the same  rule when subtracting...

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

79

49­ 9

7 ­ 4If there is a commondenominator, just subtract

numerators.

39

13= Always reduce to

simplest form...

Follow the same  rule when subtracting...

1.                                              2.417

1117+ 16

21721­

Practice

Fractions

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

To add or subtract fractions with different denominators, you must rewrite the fractions with a common denominator.

14_

61_+

?

There are two ways to find a common denominator...

Find the least common multiple of the denominators

Multiply the denominators together

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

There are two ways to find a common denominator...

Find the least common multiple of the denominators

Multiply the denominators together

There are two ways to find a common denominator...

Find the least common multiple of the denominators

Multiply the denominators together

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

Adding Fractions with Unlike Denominators

38

512+Ex.

Adding Fractions with Unlike Denominators

38

512+Ex.

Find a Common Denominator...

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

Adding Fractions with Unlike Denominators

38

512+Ex.

Find a Common Denominator...

8 16 24 32 40multiples of 8

Adding Fractions with Unlike Denominators

38

512+Ex.

Find a Common Denominator...

8 16 24 32 4012 24 36 48

multiples of 8

multiples of 12

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

Adding Fractions with Unlike Denominators

38

512+Ex. Common denominator

is 24....

Find a Common Denominator...

8 16 24 32 4012 24 36 48

multiples of 8

multiples of 12

Adding Fractions with Unlike Denominators

38

512+Ex. Common denominator

is 24....

Find a Common Denominator...

8 16 24 32 4012 24 36 48

multiples of 8

multiples of 12

38512+

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

Adding Fractions with Unlike Denominators

38

512+Ex.

24

24+

Common denominatoris 24....

38512+

Find a Common Denominator...

8 16 24 32 4012 24 36 48

multiples of 8

multiples of 12

Adding Fractions with Unlike Denominators

38

512+Ex.

24

24+

38 .

Common denominatoris 24....

38512+

Find a Common Denominator...

8 16 24 32 4012 24 36 48

multiples of 8

multiples of 12

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

Adding Fractions with Unlike Denominators

38

512+Ex.

24

24+

933 .38 .

Common denominatoris 24....

38512+

Find a Common Denominator...

8 16 24 32 4012 24 36 48

multiples of 8

multiples of 12

Adding Fractions with Unlike Denominators

38

512+Ex.

24

24+

9

12 2.

33

38..

Common denominatoris 24....

38512+

Find a Common Denominator...

8 16 24 32 4012 24 36 48

multiples of 8

multiples of 12

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

Adding Fractions with Unlike Denominators

38

512+Ex.

24

24+

9

1025 .12 2.

33

38..

Common denominatoris 24....

38512+

Find a Common Denominator...

8 16 24 32 4012 24 36 48

multiples of 8

multiples of 12

Adding Fractions with Unlike Denominators

38

512+Ex.

24

24+

9

102512 2

..

33

38..

Common denominatoris 24....

38512+

Find a Common Denominator...

8 16 24 32 4012 24 36 48

multiples of 8

multiples of 12

19 Add numerators

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

Adding Fractions with Unlike Denominators

38

512+Ex.

24

24+

9

102512 2

..

33

38..

Common denominatoris 24....

38512+

Find a Common Denominator...

8 16 24 32 4012 24 36 48

multiples of 8

multiples of 12

24 Keep the common denominator

19 Add numerators

Adding Fractions with Unlike Denominators

38

512+Ex.

24

24+

9

102512 2

..

33

38..

Common denominatoris 24....

38512+

Find a Common Denominator...

8 16 24 32 4012 24 36 48

multiples of 8

multiples of 12

24 Keep the common denominator

Add numerators19Can this answer reduce?

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

7 110 6

- The same rules apply to Subtraction

7 110 6

-

710

16

-

The same rules apply to Subtraction

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

7 110 6

-

710

16

-30-

30

7 110 6

-

710

16

-30-

3021

10 3.7 3.

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

7 110 6

-

710

16

-30-

3021

5

10 3.

.6 551 .

7 3.

7 110 6

-

710

16

-

1630

30-

3021

5

10 3.

.6 551 .

7 3.

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

7 110 6

-

710

16

-

1630

30-

3021

5

10 3.

.6 551 .

7 3.

÷ 2

÷ 2

7 110 6

-

710

16

-

1630

30-

3021

5

10 3.

.6 551 .

7 3.

815=

÷ 2

÷ 2

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

From January 1 to March 14, Earth completes of its orbit, while Venus completes about of its orbit. How much more of its orbit does Venus complete than Earth?

15 1

3

.

.

.

.

.

.

.

215

155

315

. 5

. 5

. 3

. 3

From January 1 to March 14, Earth completes of its orbit, while Venus completes about of its orbit. How much more of its orbit does Venus complete than Earth?

15 1

3

.

.

.

.

.

.

.

1315

215

155

315

. 5

. 5

. 3

. 3

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

From January 1 to March 14, Earth completes of its orbit, while Venus completes about of its orbit. How much more of its orbit does Venus complete than Earth?

15 1

3

.

.

.

.

.

.

.

1315

215

155

315

. 5

. 5

. 3

. 3

From January 1 to March 14, Earth completes of its orbit, while Venus completes about of its orbit. How much more of its orbit does Venus complete than Earth?

15 1

3

.

.

.

.

.

.

.

1315

215

155

315

. 5

. 5

. 3

. 3

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

From January 1 to March 14, Earth completes of its orbit, while Venus completes about of its orbit. How much more of its orbit does Venus complete than Earth?

15 1

3

.

.

.

.

.

.

.

1315

215

155

315

. 5

. 5

. 3

. 3

It took Bobby 1/2 hour to do his science homework, and 1/3 hour to do his math homework. How long

did Bobby work on homework?

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

Four friends had a competition to see how far they could  walk while spinning  a hoop around their waists.  The table  shows how far each friend walked.

Person Distance (mi)

Rebecca 1/8

Seth 2/3

Justin 2/3

Monica 7/10

How much farther did Justin walk than Rebecca?

What is the combined distance that Seth and Rebecca walked?

Who walked farther Monica or Seth?

1324Answer

Mixednumbers

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

Steps1. Organize and line up your problem!!!

2. Find a common denominator and re-writethe fractions.

3. Add up your fractions.

4. If improper, make it a mixed number.

5. Add your whole numbers. If you did make a mixed number, carry the whole number over for adding to the others.

6. Is your answer in simplest form?

1 242 2

3 +

1

2

+ 24

23

Steps1. Organize and line up your problem!!!

2. Find a common denominator and re-writethe fractions.

3. Add up your fractions.

4. If improper, make it a mixed number.

5. Add your whole numbers. If you did make a mixed number, carry the whole number over for adding to the others.

6. Is your answer in simplest form?

1 242 2

3 +1. Organize and line up your problem!!!

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

1

2

+ 24

23

812

+ 126

2

1

44

33

Steps1. Organize and line up your problem!!!

2. Find a common denominator and re-writethe fractions.

3. Add up your fractions.

4. If improper, make it a mixed number.

5. Add your whole numbers. If you did make a mixed number, carry the whole number over for adding to the others.

6. Is your answer in simplest form?

1 242 2

3 +2. Find a common denominator and re-write

the fractions.

1

2

+ 24

23

812

+ 126

2

1

4

Steps1. Organize and line up your problem!!!

2. Find a common denominator and re-writethe fractions.

3. Add up your fractions.

4. If improper, make it a mixed number.

5. Add your whole numbers. If you did make a mixed number, carry the whole number over for adding to the others.

6. Is your answer in simplest form?

1 242 2

3 +

1412

4

33

3. Add up your fractions.

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

1412

1

2

+ 24

23

812

+ 126

2

1

4

Steps1. Organize and line up your problem!!!

2. Find a common denominator and re-writethe fractions.

3. Add up your fractions.

4. If improper, make it a mixed number.

5. Add your whole numbers. If you did make a mixed number, carry the whole number over for adding to the others.

6. Is your answer in simplest form?

1 242 2

3 +

4

33

2121

4. If improper, make it a mixed number.

1

2

+ 24

23

812

+ 126

2

1

4

Steps1. Organize and line up your problem!!!

2. Find a common denominator and re-writethe fractions.

3. Add up your fractions.

4. If improper, make it a mixed number.

5. Add your whole numbers. If you did make a mixed number, carry the whole number over for adding to the others.

6. Is your answer in simplest form?

1 242 2

3 +

4

33

21213 +

5. Add your whole numbers. If you did make a mixed number, carry the whole number over for adding to the others.

4 122

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

1

2

+ 24

23

812

+ 126

2

1

4

Steps1. Organize and line up your problem!!!

2. Find a common denominator and re-writethe fractions.

3. Add up your fractions.

4. If improper, make it a mixed number.

5. Add your whole numbers. If you did make a mixed number, carry the whole number over for adding to the others.

6. Is your answer in simplest form?

1 242 2

3 +

4

33

2121

4 122

3 +

4 61=

6. Is your answer in simplest form?

1

1

+

65

43

Practice

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

1

3

+

74

21

Practice

How do you subtract mix numbers?

First: Line up the whole numbers under each other with their fractions 12

78

5 1724

Second: Find a LCM (Least Common Multiple)

21

17

24

24

74

24

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

Subtracting Mix Fractions with Whole Numbers

How do you turn a whole number into a fraction?

=Insert Whole Number  What could be a fraction that is equivalent to that whole number? 

Sometimes when you subtract mixed numbers, the fraction portion of the first number is less than the fraction portion of the second number. In

these cases, you must regroup (or borrow) before subtracting.

5

3 45

4 55

3 45

1 15

7 710

2 45

4 910

7 710

2 810

6 1710

2 810

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

Sometimes when you subtract mixed numbers, the fraction portion of the first number is less than the fraction portion of the second number. In

these cases, you must regroup (or borrow) before subtracting.

5

3 45

4 55

3 45

1 15

7 710

2 45

4 910

7 710

2 810

6 1710

2 810

Sometimes when you subtract mixed numbers, the fraction portion of the first number is less than the fraction portion of the second number. In

these cases, you must regroup (or borrow) before subtracting.

5

3 45

4 55

3 45

1 15

7 710

2 45

4 910

7 710

2 810

6 1710

2 810

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

Sometimes when you subtract mixed numbers, the fraction portion of the first number is less than the fraction portion of the second number. In

these cases, you must regroup (or borrow) before subtracting.

5

3 45

4 55

3 45

1 15

7 710

2 45

4 910

7 710

2 810

6 1710

2 810

Sometimes when you subtract mixed numbers, the fraction portion of the first number is less than the fraction portion of the second number. In

these cases, you must regroup (or borrow) before subtracting.

5

3 45

4 55

3 45

1 15

7 710

2 45

4 910

7 710

2 810

6 1710

2 810

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

Sometimes when you subtract mixed numbers, the fraction portion of the first number is less than the fraction portion of the second number. In

these cases, you must regroup (or borrow) before subtracting.

5

3 45

4 55

3 45

1 15

7 710

2 45

4 910

7 710

2 810

6 1710

2 810

Practice Problems

1). 4512 1

712-

--

=

2). 8 234

=

=

516

823

912

3). +

25

6

5 41

41

3

Lesson 1 3 ­ Add  Sub Fractions.notebook August 27, 2018

Homework

Test

Worksheet

Frida y