dividing fractions notice anything interesting?. dividing by a fraction is the same as multiplying...

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Dividing Fractions Notice anything interesting? 4 2 8 4 2 1 8 2 3 6 2 3 1 6 4 1 2 2 1 4 1 2 1 2 1 4 1 2 8 2 1 3 6 4 1 1 2 2 1

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Page 1: Dividing Fractions Notice anything interesting?. Dividing by a fraction is the same as multiplying by the second number “flipped over” …for example, are

Dividing Fractions

428 421

8

236 231

6

41

221

41

21

21

412

8

213

6

41

12

21

Notice anything interesting

Dividing by a fraction is the same asmultiplying by

the second number ldquoflipped overrdquo

23

32and hellipfor example are

called reciprocals

Write ldquoreciprocalrdquo in your notes

What happens when you multiply a number by its

reciprocal

5

66

5 = 1

Dividing is the same as MULTIPLYING BY THE

RECIPROCALexamples 1

443

41

43

412

3

61

85

685

485

Write this in your notes

How about mixed numbers

helliphint remember what we did with mixed numbers and multiplication

To divide mixed numbersjust change them to

improper fractions then use the rule

32

443

76

321

214

913

322

Practice by doing these

Some of you might not be convinced why this works

Letrsquos look at

43

76

which we can write ashellip

4376

=2124

multiply the top and bottom byhellip

  • Dividing Fractions
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
Page 2: Dividing Fractions Notice anything interesting?. Dividing by a fraction is the same as multiplying by the second number “flipped over” …for example, are

Dividing by a fraction is the same asmultiplying by

the second number ldquoflipped overrdquo

23

32and hellipfor example are

called reciprocals

Write ldquoreciprocalrdquo in your notes

What happens when you multiply a number by its

reciprocal

5

66

5 = 1

Dividing is the same as MULTIPLYING BY THE

RECIPROCALexamples 1

443

41

43

412

3

61

85

685

485

Write this in your notes

How about mixed numbers

helliphint remember what we did with mixed numbers and multiplication

To divide mixed numbersjust change them to

improper fractions then use the rule

32

443

76

321

214

913

322

Practice by doing these

Some of you might not be convinced why this works

Letrsquos look at

43

76

which we can write ashellip

4376

=2124

multiply the top and bottom byhellip

  • Dividing Fractions
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
Page 3: Dividing Fractions Notice anything interesting?. Dividing by a fraction is the same as multiplying by the second number “flipped over” …for example, are

Write ldquoreciprocalrdquo in your notes

What happens when you multiply a number by its

reciprocal

5

66

5 = 1

Dividing is the same as MULTIPLYING BY THE

RECIPROCALexamples 1

443

41

43

412

3

61

85

685

485

Write this in your notes

How about mixed numbers

helliphint remember what we did with mixed numbers and multiplication

To divide mixed numbersjust change them to

improper fractions then use the rule

32

443

76

321

214

913

322

Practice by doing these

Some of you might not be convinced why this works

Letrsquos look at

43

76

which we can write ashellip

4376

=2124

multiply the top and bottom byhellip

  • Dividing Fractions
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
Page 4: Dividing Fractions Notice anything interesting?. Dividing by a fraction is the same as multiplying by the second number “flipped over” …for example, are

Dividing is the same as MULTIPLYING BY THE

RECIPROCALexamples 1

443

41

43

412

3

61

85

685

485

Write this in your notes

How about mixed numbers

helliphint remember what we did with mixed numbers and multiplication

To divide mixed numbersjust change them to

improper fractions then use the rule

32

443

76

321

214

913

322

Practice by doing these

Some of you might not be convinced why this works

Letrsquos look at

43

76

which we can write ashellip

4376

=2124

multiply the top and bottom byhellip

  • Dividing Fractions
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
Page 5: Dividing Fractions Notice anything interesting?. Dividing by a fraction is the same as multiplying by the second number “flipped over” …for example, are

How about mixed numbers

helliphint remember what we did with mixed numbers and multiplication

To divide mixed numbersjust change them to

improper fractions then use the rule

32

443

76

321

214

913

322

Practice by doing these

Some of you might not be convinced why this works

Letrsquos look at

43

76

which we can write ashellip

4376

=2124

multiply the top and bottom byhellip

  • Dividing Fractions
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
Page 6: Dividing Fractions Notice anything interesting?. Dividing by a fraction is the same as multiplying by the second number “flipped over” …for example, are

32

443

76

321

214

913

322

Practice by doing these

Some of you might not be convinced why this works

Letrsquos look at

43

76

which we can write ashellip

4376

=2124

multiply the top and bottom byhellip

  • Dividing Fractions
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
Page 7: Dividing Fractions Notice anything interesting?. Dividing by a fraction is the same as multiplying by the second number “flipped over” …for example, are

Some of you might not be convinced why this works

Letrsquos look at

43

76

which we can write ashellip

4376

=2124

multiply the top and bottom byhellip

  • Dividing Fractions
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7