improper fractions, mixed-numbers

1

FRACTIONS

2

VOCABULARY• Fraction- a number that

describes part of a whole or part of a set.

• Numerator- top number of a fraction that tells how many parts of the whole or set you have.

3

VOCABULARY• Denominator - bottom

number of a fraction that tells how many equal parts there are in the whole or set.

• Proper fraction - little number on top(numerator); big number on bottom(denominator). Numerator < Denominator

4

VOCABULARY• Improper fraction – a fraction

with a value greater than or equal to 1. Numerator > Denominator

Numerator = Denominator

• Mixed number - a whole number and a fraction together.

5

8

5 numerator

denominator

8 equal parts in the whole

5 equal parts shaded

6

PROPER FRACTIONS

4

3

3

2

9

6small

large

7

IMPROPER FRACTIONS

3

6

4

5

5

9

small

large

8

MIXED NUMBERS

3

25

4

17

5

31

whole number

fraction

9

10

4

11

11

4

5

12

To express a mixed number as an improper fraction, first multiply the whole number by the denominator and add the numerator. Then write this sum over the denominator.

13

1= 2 x 2 + 1

2=

52

2 2

14

3

8

2 3

2

3

22

15

To express an improper fraction as a mixed number, divide the denominator into the numerator.

16

88=

2

-62

23 3

2

3

17

Express the mixed number as an improper fraction.

5

13 =

3 x 5 + 15

=5

16

18

Express the mixed number as an improper fraction.

9

85 =

5 x 9 + 89

=9

53

19

Express the improper fraction as a mixed number.

3

19= 193

6

-181

=3

16

20

Express the improper fraction as a mixed number.

6

23= 236

3

-185

=6

53

21

Express the improper fraction as a whole number.

8

32= 328

4

-320

= 4