Fraction Fun Time!Fraction Fun Time!

I can add or subtract proper fractions and mixed numbers with like denominators.

I can add or subtract proper fractions and mixed numbers with like denominators.

Essential QuestionsEssential Questions

•What is an improper fraction?

•How is an improper fraction changed into a mixed number?

•How do I add and subtract fractions with common denominators?

•What is an improper fraction?

•How is an improper fraction changed into a mixed number?

•How do I add and subtract fractions with common denominators?

Improper FractionsImproper Fractions

A fraction is an improper fraction when the numerator is larger than the denominator.

When this happens that means that you have more than one whole.

If the fraction is improper, then you need to change the fraction into a mixed number.

Example: 23/5

A fraction is an improper fraction when the numerator is larger than the denominator.

When this happens that means that you have more than one whole.

If the fraction is improper, then you need to change the fraction into a mixed number.

Example: 23/5

How can we change an improper fraction into a

mixed number?

How can we change an improper fraction into a

mixed number? Remember NIDO?Remember NIDO?

NumeratorNumerator on the on the insideinside! ! DenominatorDenominator on the on the outsideoutside!!

Say we have the fraction 13/2,Say we have the fraction 13/2,

6 r 16 r 1 22 13 13

-12-12 11

My mixed number is My mixed number is 6 6 1122

Ready for some practice?Ready for some practice?Of course you are!Of course you are!

SLATE TIME!!!!Turn these improper fractions into

mixed numbers!

SLATE TIME!!!!Turn these improper fractions into

mixed numbers!

•16/5

•23/4

•25/6

•18/5

•12/3

•16/5

•23/4

•25/6

•18/5

•12/3

3 1/53 1/5

5 5 3/43/4

4 4 1/61/6

33 3/53/5

44

Changing ‘em back!Changing ‘em back!

It’s easy to turn a mixed number It’s easy to turn a mixed number into an improper fraction again!into an improper fraction again!

Take the denominator and multiply it Take the denominator and multiply it by the whole number!by the whole number!

5 2/7 7x5=355 2/7 7x5=35Next, simply add the numerator!Next, simply add the numerator!

35 + 2 = 3735 + 2 = 37The denominator The denominator ALWAYSALWAYS

stays the same!stays the same!

37/737/7

Your Turn!Your Turn!

•7 3/5 4 1/4

•8 2/3 5 1/3

•6 1/4 3 1/2

•7 3/5 4 1/4

•8 2/3 5 1/3

•6 1/4 3 1/2

38/ 538/ 5

26/26/33

25/425/4

17/417/4

16/316/3

7/27/2

Simplifying Fractions!Simplifying Fractions!

When we are adding or subtracting fractions, When we are adding or subtracting fractions, we are NOT done until the fraction we are NOT done until the fraction

is down to it’s simplest form!is down to it’s simplest form!What does that What does that

mean?mean?It means that the numerator It means that the numerator

and denominator and denominator do notdo not share a common factor! share a common factor!

The easiest way is to find the GCF The easiest way is to find the GCF of both the numerator and denominator!of both the numerator and denominator!

If you find the If you find the GCFGCF, you will , you will save yourself time!save yourself time!

Let’s try it!Let’s try it!

•Take the fraction 4/12•Thumbs up when you have the GCF for

both!

•Did you say 4? That’s it!

•So divide the numerator and denominator by the GCF.

•Your simplified fraction is 1/3.

•Take the fraction 4/12•Thumbs up when you have the GCF for

both!

•Did you say 4? That’s it!

•So divide the numerator and denominator by the GCF.

•Your simplified fraction is 1/3.

Simplify It!Simplify It!

• Reduce these fractions to their simplest form. Your work is not done until the numerator and denominator DO NOT share a common factor!

• 12/18 4/32

• 22/42 10/ 45

• 18/24 8/56

• 12/60 5/20

• Reduce these fractions to their simplest form. Your work is not done until the numerator and denominator DO NOT share a common factor!

• 12/18 4/32

• 22/42 10/ 45

• 18/24 8/56

• 12/60 5/20

2/32/3

11/2111/21

3/43/4

1/51/5

1/81/8

2/92/9

1/71/7

1/41/4

Steps for adding fractions

Steps for adding fractions•Take the fractions and

•If we want to ADD these two fractions together we keep the denominator the same and then add the numerators together.

•2 + 7 = 9

•The denominator stays the same and our new numerator is 9.

•The new fraction is

•Take the fractions and

•If we want to ADD these two fractions together we keep the denominator the same and then add the numerators together.

•2 + 7 = 9

•The denominator stays the same and our new numerator is 9.

•The new fraction is

22 1010

771010

991010

Partner Practice!Partner Practice!

•Add these fractions together! Simplify if you can! Also don’t forget, if the fraction turns out to be IMPROPER, you MUST change it to a MIXED NUMBER!

•7/12 + 3/12 2/3+ 2/3

•7/8 + 3/8 4/12 + 9/12

•5/10 + 3/10 3/5 + 1/5

•Add these fractions together! Simplify if you can! Also don’t forget, if the fraction turns out to be IMPROPER, you MUST change it to a MIXED NUMBER!

•7/12 + 3/12 2/3+ 2/3

•7/8 + 3/8 4/12 + 9/12

•5/10 + 3/10 3/5 + 1/5

5/65/6

1 1 1/41/4

4/54/5

1 1 1/31/3

1 1 1/121/12

4/54/5

If you didn’t get them all correct, was it becauseIf you didn’t get them all correct, was it becauseyou forgot to simplify? you forgot to simplify? YOU MUSTYOU MUST!!

Steps for subtracting fractions

Steps for subtracting fractions

•Take the fractions and

•Like adding fractions, when you SUBTRACT fractions keep the denominator the same and subtract the numerators.

•7 - 2 = 5

•The denominator stays the same and the denominator is 8.

•Our new fraction is

•Take the fractions and

•Like adding fractions, when you SUBTRACT fractions keep the denominator the same and subtract the numerators.

•7 - 2 = 5

•The denominator stays the same and the denominator is 8.

•Our new fraction is

7788

2288

5588

More Partner Practice!More Partner Practice!

•Subtract these fractions with common denominators. SIMPLIFY, SIMPLIFY, SIMPLIFY!!!

•5/8 - 3/8

•10/12 - 4/12

•8/10 - 1/10

•Subtract these fractions with common denominators. SIMPLIFY, SIMPLIFY, SIMPLIFY!!!

•5/8 - 3/8

•10/12 - 4/12

•8/10 - 1/10

1/41/4

1/21/2

7/107/10

Steps for adding and subtracting mixed

numbers

Steps for adding and subtracting mixed

numbers•Change the mixed number into an

improper fraction.

•Then add or subtract the fraction.

•The denominator always stays the same.

•Add/subtract the numerator.

•Then turn the improper fraction back into a mixed number.

•Change the mixed number into an improper fraction.

•Then add or subtract the fraction.

•The denominator always stays the same.

•Add/subtract the numerator.

•Then turn the improper fraction back into a mixed number.

Partner Practice Time!Partner Practice Time!

2

6

29

+ 69

3

1

35

- 45

5

3

45

+ 25

10

5

7

3

45 -

68

10

5

48

ClosureClosure

•Explain to your shoulder partner how one changes an improper fraction into a mixed number and back.

•Then, give your partner step by step directions on how to add and subtract fractions.

•Thumbs up when you both have shared!

•Explain to your shoulder partner how one changes an improper fraction into a mixed number and back.

•Then, give your partner step by step directions on how to add and subtract fractions.

•Thumbs up when you both have shared!

Independent PracticeIndependent Practice•Change to a mixed number.

•1. 16/3 2. 23/2 3. 43/8 4. 34/5

•Change to an improper fraction.

•5. 5 1/2 6. 7 3/5 7. 2 2/3 8. 5 6/8

•Change to a mixed number.

•1. 16/3 2. 23/2 3. 43/8 4. 34/5

•Change to an improper fraction.

•5. 5 1/2 6. 7 3/5 7. 2 2/3 8. 5 6/8

3

5

49

+ 89

9

6

48

- 68