Parts of a Fraction

Changing Improper Fractions into Mixed Numbers and Vice-Versa

How to Add Fractions

How to Add Mixed Numbers

How to Subtract Fractions

How to Subtract Mixed Numbers

How to Borrow When Subtracting Fractions

6th Grade HomePage

The top number of a fraction is the numerator.

The bottom number of a fraction is the denominator.

3

4

6th Grade HomePage

To change a mixed number into an improper fraction get MAD…Multiply – Add – Put over Denominator

4 ½

4 x 2 = 8

8 + 1 = 9

92

To change an improper fraction into a mixed number divide the numerator by the denominator; whatever is left over is the new numerator…keep the same denominator.

For Example: 11

4

11 divided 4 equals 2; there is 3 left over.

234

QUIZ

6th Grade HomePage

Change the following into Improper Fractions. REVIEW

1. 3 ½

2. 5 5/8

3. 12 1/3

4. 15 ¾

Change the following into Mixed Numbers. REVIEW

1. 40/13

2. 100/9

3. 4/3

4. 9/2

CHECK6th Grade HomePage

Change the following into Improper Fractions.

1. 3 ½ = 7/2

2. 5 5/8 = 45/8

3. 12 1/3 = 37/3

4. 15 ¾ = 63/4

Change the following into Mixed Numbers.

1. 40/13 = 3 1/13

2. 100/9 = 11 1/9

3. 4/3 = 1 1/3

4. 9/2 = 4 ½ 6th Grade HomePage

When adding fractions you MUST have a common denominator!

3

4

1 5_

+

x5 =

5 =

15

20

4 =

4 =x 4

20

19

20

Find the smallest number that both 4and 5 will go into.

This number is 20. Then multiply both the numerator and denominator to get to 20.

Once you have a common denominator, then add!

6th Grade HomePage

6 ½

5 1/3 +

X

X

3

3

2

2

6

5

3/6

2/6

Find the least common

multiple of 3 and 2. This

number is 6.

You MUST have a

common denominator

to add fractions!

Once you have the common

denominator, add the fractions, then add the

whole numbers!

11 5/6

QUIZ

6th Grade HomePage

5

6

2

3

X

X

X

X

1

1

2

2

5

6

4

6

To subtract fractions you must have a

common denominator!

Find the least common

multiple for 3 and 6. (In this case, 6) Then

multiply!

1

6

This is your answer!

QUIZ

6th Grade HomePage

1. 3 1/5 2. 2 ½

+ 4 ¼ + 1 ¾

3. 5 1/6 4. 1/3

+ 2 2/3 1/4

+ 1/2

CHECK

6th Grade HomePage

1. 3 1/5 2. 2 ½

+ 4 ¼ + 1 ¾

7 9/20 3 5/4 = 4 1/4

3. 5 1/6 4. 1/3

+ 2 2/3 1/4

7 5/6 + 1/2

13/12 = 1 1/12

6th Grade HomePage

5 ½

6 ¼

To subtract fractions you must have a

common denominator!

Find the least common

multiple of 4 and 2. This

number is 4.

X

X

2

2

1

1

5 2/4

6 ¼

3 ¼

ANSWER!

QUIZ

6th Grade HomePage

5 ½

6 ¾

X

X

2

2

1

1

5 2/4

2 3/4

First…Find a common

denominator.

Find the least common multiple of

4 and 2. This number is 4.

You cannot

subtract 3 from 2, so

you MUST

borrow!

4 6/4

2 3/4

2 3/4

ANSWER!

4 2/4

2 3/4

+ 4/4

6th Grade HomePage

CHECK

1. ½ 2. 3 ¾

- ¼ - 1 ½

3. 4 1/5 4. 5

- 1 1/2 - 3 ¾

6th Grade HomePage

1. ½ 2. 3 ¾

- ¼ - 1 ½

¼ 2 ¼

3. 4 1/5 4. 5

- 1 1/2 - 3 ¾

2 7/10 1 ¼

6th Grade HomePage