FRACTIONS LESSON 4. TERMIOLOGY ► NUMERATOR – Top digit of a fraction ► DENOMINATOR – Bottom...

FRACTIONSFRACTIONS

LESSON 4LESSON 4

TERMIOLOGYTERMIOLOGY

►NUMERATORNUMERATOR – Top digit of a fraction – Top digit of a fraction►DENOMINATORDENOMINATOR – Bottom digit of a fraction – Bottom digit of a fraction► EQUIVALENT FRACTIONSEQUIVALENT FRACTIONS - are fractions - are fractions

that have the same value that have the same value ►MIXED FRACTIONMIXED FRACTION - is a whole number plus - is a whole number plus

a fractiona fraction► IMPROPER FRACTIONSIMPROPER FRACTIONS - have the - have the

numerator part numerator part greater or equal greater or equal to the to the denominator part denominator part

EQUIVALENT FRACTIONSEQUIVALENT FRACTIONS

►We can determine if fractions are We can determine if fractions are equivalent by multiplying the equivalent by multiplying the numerator and denominator by the numerator and denominator by the same number same number

►EXAMPLE:EXAMPLE: 24

=12

x2

x2

TRY THESETRY THESE

►1)

►2)

►3)

35

6748

=

=

=

TRY THESETRY THESE

►1)

►2)

►3)

35

6748

=

=

=

610

x2

x2

TRY THESETRY THESE

►1)

►2)

►3)

35

6748

=

=

=

610

1214

x2

x2

TRY THESETRY THESE

►1)

►2)

►3)

35

6748

=

=

=

610

1214 816

x2

x2

MIXED FRACTIONSMIXED FRACTIONS

► EXAMPLE:EXAMPLE:

► TO CALCULATE THE NUMERATOR when TO CALCULATE THE NUMERATOR when converting  mixed to improper fractions:converting  mixed to improper fractions:    

► 1) Multiply the whole number of the mixed 1) Multiply the whole number of the mixed fraction by the denominatorfraction by the denominator

► 2) Add on the numerator of the fraction 2) Add on the numerator of the fraction partpart

35

3

CHANGING MIXED TO CHANGING MIXED TO IMPROPERIMPROPER

► EXAMPLE:EXAMPLE:

3 35

STEP 1STEP 1 Multiply Multiply 3 x 5 = 153 x 5 = 15

x

CHANGING MIXED TO CHANGING MIXED TO IMPROPERIMPROPER

► EXAMPLE:EXAMPLE:

3 35

STEP 1STEP 1 Multiply Multiply 3 x 5 = 153 x 5 = 15

STEP 2STEP 2 Add the result from Add the result from step 1 to the step 1 to the numeratornumerator

15 + 3 = 1815 + 3 = 18

CHANGING MIXED TO CHANGING MIXED TO IMPROPERIMPROPER

► EXAMPLE:EXAMPLE:

3 35

STEP 1STEP 1 Multiply Multiply 3 x 5 = 153 x 5 = 15

STEP 2STEP 2 Add the result from Add the result from step 1 to the step 1 to the numeratornumerator

15 + 3 = 1815 + 3 = 18

STEP 3STEP 3 Place result from step Place result from step 2 in the numerator2 in the numerator18 ?

CHANGING MIXED TO CHANGING MIXED TO IMPROPERIMPROPER

► EXAMPLE:EXAMPLE:

3 35

STEP 1STEP 1 Multiply Multiply 3 x 5 = 153 x 5 = 15

STEP 2STEP 2 Add the result from Add the result from step 1 to the step 1 to the numeratornumerator

15 + 3 = 1815 + 3 = 18

STEP 3STEP 3 Place result from step Place result from step 2 in the numerator2 in the numerator

STEP 4STEP 4 Keep the same Keep the same denominatordenominator

18 ?

18 5

IMPROPER FRACTIONSIMPROPER FRACTIONS

► EXAMPLE:EXAMPLE:

► TO CHANGE THE IMPROPERTO CHANGE THE IMPROPER fraction to fraction to a mixed fractiona mixed fraction DIVIDEDIVIDE the the numeratornumerator by the by the denominator denominator    

► The quotient (i.e. the result of division) is The quotient (i.e. the result of division) is the whole number part of the mixed fraction the whole number part of the mixed fraction

► The The remainderremainder is the is the numeratornumerator of the of the fraction part of the mixed fraction fraction part of the mixed fraction

14 6

CHANGING IMPROPER TO CHANGING IMPROPER TO MIXEDMIXED

► EXAMPLE:EXAMPLE:

14 6

STEP 1STEP 1 Divide 14 Divide 14 ÷ 6 = ÷ 6 = 22 and and remainder of 2remainder of 2

CHANGING IMPROPER TO CHANGING IMPROPER TO MIXEDMIXED

► EXAMPLE:EXAMPLE:

14 6

STEP 1STEP 1 Divide 14 Divide 14 ÷ 6 = 2 ÷ 6 = 2 and remainder of 2and remainder of 2

STEP 2STEP 2 Remainder is the Remainder is the numeratornumerator

2?

2

CHANGING IMPROPER TO CHANGING IMPROPER TO MIXEDMIXED

► EXAMPLE:EXAMPLE:

14 6

STEP 1STEP 1 Divide 14 Divide 14 ÷ 6 = 2 ÷ 6 = 2 and remainder of 2and remainder of 2

STEP 2STEP 2 Remainder is the Remainder is the numeratornumerator

STEP 3STEP 3 Keep the same denominator

2?

2

226

CHANGING IMPROPER TO CHANGING IMPROPER TO MIXEDMIXED

► EXAMPLE:EXAMPLE:

14 6

STEP 1STEP 1 Divide 14 Divide 14 ÷ 6 = 2 ÷ 6 = 2 and remainder of 2and remainder of 2

STEP 2STEP 2 Remainder is the Remainder is the numeratornumerator

STEP 3STEP 3 Keep the same denominator

STEP 4STEP 4 Reduce to lowest Reduce to lowest termsterms

2?

2

226

13

2 226

=

TRY THESETRY THESE

►CHANGE A MIXED FRACTION TO AN CHANGE A MIXED FRACTION TO AN IMPROPER:IMPROPER:

►1)1)

►2)2)

3 24

5 37

TRY THESETRY THESE

►CHANGE A MIXED FRACTION TO AN CHANGE A MIXED FRACTION TO AN IMPROPER:IMPROPER:

►1)1)

►2)2)

3 24

5 37

= 14 4

TRY THESETRY THESE

►CHANGE A MIXED FRACTION TO AN CHANGE A MIXED FRACTION TO AN IMPROPER:IMPROPER:

►1)1)

►2)2)

3 24

5 37

= 14 4

=72

TRY THESETRY THESE

►CHANGE A MIXED FRACTION TO AN CHANGE A MIXED FRACTION TO AN IMPROPER:IMPROPER:

►1)1)

►2)2)

3 24

5 37

= 14 4

=72

=38 7

TRY THESETRY THESE

►CHANGE AN IMPROPER TO A MIXED CHANGE AN IMPROPER TO A MIXED FRACTION:FRACTION:

►1)1)

►2)2)

22 517 6

TRY THESETRY THESE

►CHANGE AN IMPROPER TO A MIXED CHANGE AN IMPROPER TO A MIXED FRACTION:FRACTION:

►1)1)

►2)2)

22 517 6

= 25

4

TRY THESETRY THESE

►CHANGE AN IMPROPER TO A MIXED CHANGE AN IMPROPER TO A MIXED FRACTION:FRACTION:

►1)1)

►2)2)

22 517 6

= 25

4

= 2 56