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ADDING AND SUBTRACTING FRACTIONS

- 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

PARTS OF A FRACTION

The top number of a fraction is the

numerator. The bottom number of a fraction is

the denominator.

3 4

QUIZ

MIXED NUMBERS AND IMPROPER FRACTIONS

To change a mixed number into an improper

fraction get MADMultiply Add Put over

Denominator 4 ½ 4 x 2 8 8

1 9

9 2

To change an improper fraction into a mixed

number divide the numerator by the denominator

whatever is left over is the new numeratorkeep

the same denominator. For Example 11 4

11 divided 4 equals 2 there is 3 left over.

34

2

Quiz Changing Mixed Numbers and Improper

Fractions

- Change the following into Improper Fractions.

REVIEW - 3 ½
- 5 5/8
- 12 1/3
- 15 ¾
- Change the following into Mixed Numbers.

REVIEW - 40/13
- 100/9
- 4/3
- 4. 9/2

CHECK

ANSWERS Changing Mixed Numbers and Improper

Fractions

- Change the following into Improper Fractions.
- 1. 3 ½ 7/2
- 5 5/8 45/8
- 12 1/3 37/3
- 15 ¾ 63/4
- Change the following into Mixed Numbers.

- 40/13 3 1/13
- 100/9 11 1/9
- 4/3 1 1/3
- 4. 9/2 4 ½

ADDING FRACTIONS

When adding fractions you MUST have a common

denominator!

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.

19 20

Once you have a common denominator, then add!

QUIZ

ADDING MIXED NUMBERS

3 3

- ½
- 5 1/3

X X

6 5

3/6 2/6

2 2

11 5/6

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!

6th Grade HomePage

QUIZ

SUBTRACTING FRACTIONS

5 6 2 3

5 6 4 6

Find the least common multiple for 3 and 6. (In

this case, 6) Then multiply!

1 6

This is your answer!

To subtract fractions you must have a common

denominator!

Answers Adding Fractions

- 3 1/5 2. 2

½ - 4 ¼

1 ¾ - 5 1/6 4.

1/3 - 2 2/3

1/4 -

1/2

CHECK

Review

QUIZ Adding Fractions

- 3 1/5 2. 2

½ - 4 ¼

1 ¾ - 7 9/20

3 5/4 4 1/4 - 5 1/6 4.

1/3 - 2 2/3

1/4 - 7 5/6

1/2 -

13/12 1 1/12

Review

QUIZ

SUBTRACTING MIXED NUMBERS

2 2 1 1

- 2/4
- ¼

- ½
- ¼

X X

- ¼

To subtract fractions you must have a common

denominator!

Find the least common multiple of 4 and 2. This

number is 4.

ANSWER!

SUBTRACTING FRACTIONS WHILE BORROWING

4/4

2 2 1 1

- 6/4
- 2 3/4

4 2/4 2 3/4

- ½
- ¾

X X

FirstFind a common denominator.

2 3/4

You cannot subtract 3 from 2, so you MUST borrow!

ANSWER!

Find the least common multiple of 4 and 2. This

number is 4.

Quiz SUBTRACTING FRACTIONS

- ½ 2.

3 ¾ - - ¼

- 1 ½ - 4 1/5 4. 5

- - 1 1/2

- 3 ¾

CHECK

Review Subtracting

Review Subtracting While Borrowing

ANSWERS SUBTRACTING FRACTIONS

- ½ 2.

3 ¾ - - ¼

- 1 ½ - ¼

2 ¼ - 4 1/5 4. 5

- - 1 1/2

- 3 ¾ - 2 7/10

1 ¼

Review Subtracting

Review Subtracting While Borrowing

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