liberal arts math. overview adding mixed numbers - video adding mixed numbers - video

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2. NUMBER THEORY 2.1. FRACTIONS 2.1.4. ADDITION AND SUBTRACTION WITH IMPROPER FRACTIONS AND MIXED NUMBERS Liberal Arts Math

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Objectives  By the end of this lesson, you  Can add mixed numbers.  Can add improper fractions.  Can subtract mixed numbers.  Can subtract improper fractions.

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Page 1: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

2. NUMBER THEORY 2.1. FRACTIONS

2.1.4. ADDITION AND SUBTRACTION WITH IMPROPER FRACTIONS AND MIXED NUMBERS

Liberal Arts Math

Page 2: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

OverviewAdding Mixed Numbers - Video

Page 3: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

Objectives

By the end of this lesson, you Can add mixed numbers. Can add improper fractions. Can subtract mixed numbers. Can subtract improper fractions.

Page 4: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

How to Add Mixed Numbers Method 1:

Add the whole numbers together

Convert the fractions to common denominators

Add the fractions together

Add the two sums back together

Reduce the fraction, if needed

Convert the fraction to a mixed number if needed

548

548

53

5153

535

513

Page 5: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

How to Add Mixed Numbers Method 1:

Add the whole numbers together

Convert the fractions to common denominators

Add the fractions together

Add the two sums back together

Reduce the fraction, if needed

Convert the fraction to a mixed number if needed

4310

4310

22

8610

8610

8610

83

8346

834

836

Page 6: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

How to Add Mixed Numbers Method 1:

Add the whole numbers together

Convert the fractions to common denominators

Add the fractions together

Add the two sums back together

Reduce the fraction, if needed

Convert the fraction to a mixed number if needed

416

4115

455

455

43

4232

433

422

Page 7: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

Worksheet: Adding Mixed Numbers with Simplifying

Page 8: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

How to Add Mixed Numbers Method 1:

Add the whole numbers together

Convert the fractions to common denominators

Add the fractions together

Add the two sums back together

Reduce the fraction, if needed

Convert the fraction to a mixed number if needed

219

2118

238

238

44

8128

8128

8128

87

8535

873

855

Page 9: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

Worksheet: Adding Mixed Numbers with Different Denominators and Simplifying

Page 10: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

Method 2: Adding Mixed Numbers with Different Denominators and SimplifyingVideo

Page 11: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

How to Add Mixed Numbers Method 2:

Convert the mixed numbers to improper fractions

Rename fractions with common denominators

Add the improper fractions Reduce the fraction, if

needed Convert the fraction to a

mixed number This method is very close

to the way we multiply and divide fractions! 5

48544

544

528

516

535

513

Page 12: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

Worksheet: Subtracting Improper Fractions with Different Denominators and Simplifying

Page 13: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

Review: Adding Mixed Numbers

Page 14: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

Subtracting Mixed Numbers and Improper Fractions

Done the same as adding fractions only you subtract instead of add

Page 15: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

How to Subtract Mixed Numbers Method 1:

Subtract the whole numbers

Convert the fractions to common denominators

Subtract the fractions Add the whole number

and fraction Reduce the fraction, if

needed

512

512

53

5435

533

545

Page 16: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

How to Subtract Mixed Numbers Method 1:

Subtract the whole numbers

Convert the fractions to common denominators

Subtract the fractions

Add the whole number and fraction

Reduce the fraction, if needed

412

412

22

822

822

822

83

8546

834

856

Page 17: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

Worksheet: Subtracting Mixed Numbers with Simplifying

Page 18: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

How to Subtract Mixed Numbers Method 1:

Subtract the whole numbers

Convert the fractions to common denominators

Subtract the fractions Add the whole

number and fraction Reduce the fraction,

if needed

313

313

33

933

933

933

93

9625

96

33

32

93

3225

932

325

x

Page 19: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

Worksheet: Subtracting Mixed Numbers with Different Denominators and Simplifying

Page 20: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

Video: Subtracting Improper Fractions

Page 21: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

How to Subtract Mixed Numbers Method 2:

Convert the mixed numbers to improper fractions

Rename fractions with common denominators

Subtract the improper fractions

Reduce the fraction, if needed

Convert the improper fraction to a mixed number

This method is very close to the way we multiply and divide fractions!

512

511

511

517

528

523

535

Page 22: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

Worksheet: Subtracting Improper Fractions with Different Denominators and Simplifying

Page 23: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

What do you do if you don’t have enough? How can you solve,

Method 1: Borrow

752

725

742

752

794

794

72

774

7214

725

725

752

725

Page 24: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

What do you do if you don’t have enough? How can you solve,

Method 2: (better)ImproperFractions

752

725

742

718

718

719

737

752

725

Page 25: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

Summary Review

Do you think, you Can add mixed numbers? Can add improper fractions? Can subtract mixed numbers? Can subtract improper fractions?

Page 26: Liberal Arts Math. Overview Adding Mixed Numbers - Video Adding Mixed Numbers - Video

ANY QUESTIONS?

Liberal Arts Math