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EXAMPLE 1 Writing Equivalent Fractions Writing Equivalent Fractions

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Page 1: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

EXAMPLE 1 Writing Equivalent FractionsWriting Equivalent Fractions

Page 2: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

EXAMPLE 1 Writing Equivalent Fractions

Write two fractions that are equivalent to .

Writing Equivalent Fractions

13

Page 3: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

EXAMPLE 1 Writing Equivalent Fractions

Write two fractions that are equivalent to .

Multiply the numerator and

denominator by 2.

Writing Equivalent Fractions

13

13 =

Page 4: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

EXAMPLE 1 Writing Equivalent Fractions

Write two fractions that are equivalent to .

Multiply the numerator and

denominator by 2.

Writing Equivalent Fractions

13

13 =

1 23 2 =

Page 5: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

EXAMPLE 1 Writing Equivalent Fractions

Write two fractions that are equivalent to .

Multiply the numerator and

denominator by 2.

Writing Equivalent Fractions

13

13 =

1 23 2 =

26

Page 6: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

EXAMPLE 1 Writing Equivalent Fractions

Write two fractions that are equivalent to .

Multiply the numerator and

denominator by 2.

Writing Equivalent Fractions

13

13 =

1 23 2 =

26

13 =

Page 7: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

EXAMPLE 1 Writing Equivalent Fractions

Write two fractions that are equivalent to .

Multiply the numerator and

denominator by 2.

Multiply the numerator and

denominator by 3.

Writing Equivalent Fractions

13

13 =

1 23 2 =

26

13 =

Page 8: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

EXAMPLE 1 Writing Equivalent Fractions

Write two fractions that are equivalent to .

Multiply the numerator and

denominator by 2.

Multiply the numerator and

denominator by 3.

Writing Equivalent Fractions

13

13 =

1 23 2 =

26

13 =

1 31 3 =

Page 9: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

EXAMPLE 1 Writing Equivalent Fractions

Write two fractions that are equivalent to .

Multiply the numerator and

denominator by 2.

Multiply the numerator and

denominator by 3.

Writing Equivalent Fractions

13

13 =

1 23 2 =

26

13 =

1 31 3 =

39

Page 10: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

EXAMPLE 1 Writing Equivalent Fractions

Write two fractions that are equivalent to .

Multiply the numerator and

denominator by 2.

Multiply the numerator and

denominator by 3.

Writing Equivalent Fractions

ANSWERThe fractions and are equivalent to .

13

13 =

1 23 2 =

26

13 =

1 31 3 =

39

26

39

13

Page 11: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

12 =1.

Page 12: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

12 =1.

Page 13: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

12 =

1 22 2 =1.

Page 14: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

12 =

1 22 2 =

24

1.

Page 15: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

12 =

1 22 2 =

24

12 =

1.

Page 16: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

Multiply the numerator and

denominator by 3.

12 =

1 22 2 =

24

12 =

1.

Page 17: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

Multiply the numerator and

denominator by 3.

12 =

1 22 2 =

24

12 =

1 32 3 =

1.

Page 18: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

Multiply the numerator and

denominator by 3.

12 =

1 22 2 =

24

12 =

1 32 3 =

36

1.

Page 19: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

The fractions and are equivalent to .ANSWER

Multiply the numerator anddenominator by 2.

Multiply the numerator and

denominator by 3.

12 =

1 22 2 =

24

12 =

1 32 3 =

36

1.

24

36

12

Page 20: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

14 =2.

Page 21: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

14 =2.

Page 22: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

14 =

1 24 2 =2.

Page 23: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

14 =

1 24 2 =

28

2.

Page 24: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

14 =

1 24 2 =

28

14 =

2.

Page 25: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

Multiply the numerator and

denominator by 3.

14 =

1 24 2 =

28

14 =

2.

Page 26: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

Multiply the numerator and

denominator by 3.

14 =

1 24 2 =

28

14 =

1 34 3 =

2.

Page 27: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

Multiply the numerator and

denominator by 3.

14 =

1 24 2 =

28

14 =

1 34 3 =

312

2.

Page 28: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

The fractions and are equivalent to .ANSWER

Multiply the numerator anddenominator by 2.

Multiply the numerator and

denominator by 3.

14 =

1 24 2 =

28

14 =

1 34 3 =

312

2.

28

312

14

Page 29: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

35 =3.

Page 30: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

35 =3.

Page 31: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

35 =

3 25 2 =3.

Page 32: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

35 =

3 25 2 =

610

3.

Page 33: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

35 =

3 25 2 =

610

35 =

3.

Page 34: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

Multiply the numerator and

denominator by 3.

35 =

3 25 2 =

610

35 =

3.

Page 35: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

Multiply the numerator and

denominator by 3.

35 =

3 25 2 =

610

35 =

3 35 3 =

3.

Page 36: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

Multiply the numerator and

denominator by 3.

35 =

3 25 2 =

610

35 =

3 35 3 =

915

3.

Page 37: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

The fractions and are equivalent to .ANSWER

Multiply the numerator anddenominator by 2.

Multiply the numerator and

denominator by 3.

35 =

3 25 2 =

610

35 =

3 35 3 =

915

3.

610

915

35

Page 38: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

23 =4.

Page 39: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

23 =4.

Page 40: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

23 =

2 23 2 =4.

Page 41: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

23 =

2 23 2 =

46

4.

Page 42: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

23 =

2 23 2 =

46

23 =

4.

Page 43: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

Multiply the numerator and

denominator by 3.

23 =

2 23 2 =

46

23 =

4.

Page 44: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

Multiply the numerator and

denominator by 3.

23 =

2 23 2 =

46

23 =

2 33 3 =

4.

Page 45: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

Multiply the numerator anddenominator by 2.

Multiply the numerator and

denominator by 3.

23 =

2 23 2 =

46

23 =

2 33 3 =

69

4.

Page 46: EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions

GUIDED PRACTICE for Example 1

Write two fractions that are equivalent to the given fraction

The fractions and are equivalent to .ANSWER

Multiply the numerator anddenominator by 2.

Multiply the numerator and

denominator by 3.

23 =

2 23 2 =

46

23 =

2 33 3 =

69

4.

46

69

23