Unit 2 hw5 mult fraction, simplify

Unit 2 - Homework 5
Multiply Rational Numbers
Evaluate Rational Expressions

Multiplying Fractions
2 6
− ⋅
3 11

2 6 Multiply
− ⋅ straight across.
3 11

2 6 −2 ⋅ 6 Multiply
− ⋅ = straight across.
3 11 3 ⋅11

2 6 −2 ⋅ 6 −12 Multiply
− ⋅ = = straight across.
3 11 3 ⋅11 33

2 6 −2 ⋅ 6 −12 Multiply
3 11 3 ⋅11 33
Simplify your
answer, if you
can.

2 6 −2 ⋅ 6 −12 Multiply
3 11 3 ⋅11 33
Simplify your
−12 ÷ 3 answer, if you
= can.
33 ÷ 3

2 6 −2 ⋅ 6 −12 Multiply
3 11 3 ⋅11 33
Simplify your
−12 ÷ 3 −4 answer, if you
= = can.
33 ÷ 3 11

2 6 −2 ⋅ 6 −12 Multiply
3 11 3 ⋅11 33
Simplify your
= = can.
33 ÷ 3 11
Alternate
method is to
simplify before
multiplying.

2 6 −2 ⋅ 6 −12 Multiply
3 11 3 ⋅11 33
Simplify your
= = can.
33 ÷ 3 11
Alternate
2 6 method is to
− ⋅ simplify before
3 11 multiplying.

2 6 −2 ⋅ 6 −12 Multiply
3 11 3 ⋅11 33
Simplify your
= = can.
33 ÷ 3 11
Alternate
2 6 −2 2 ⋅ 3 method is to
− ⋅ = ⋅ simplify before
3 11 3 11 multiplying.

2 6 −2 ⋅ 6 −12 Multiply
3 11 3 ⋅11 33
Simplify your
= = can.
33 ÷ 3 11
Alternate
2 6 −2 2 ⋅ 3 −4 method is to
− ⋅ = ⋅ = simplify before
3 11 3 11 11 multiplying.

Multiplying Mixed Numbers
 3  1
 −1   2 
 4  5

ALWAYS change to improper fractions ﬁrst!
 3  1
 −1   2 
 4  5

Multiply the whole
 3  1 number &
 −1   2 
 4  5 denominator. Then
add the numerator.

Multiply the whole
 3  1 number &
 −1   2 
add the numerator.
− (1⋅ 4 + 3) ( 2 ⋅ 5 + 1)
= ⋅
4 5

Multiply the whole
 3  1 number &
 −1   2 
add the numerator.
− (1⋅ 4 + 3) ( 2 ⋅ 5 + 1)
= ⋅
4 5

−7 11
= ⋅
4 5

Multiply the whole
 3  1 number &
 −1   2 
add the numerator.
− (1⋅ 4 + 3) ( 2 ⋅ 5 + 1) Multiply straight
= ⋅ across.
4 5

−7 11
= ⋅
4 5

Multiply the whole
 3  1 number &
 −1   2 
add the numerator.
− (1⋅ 4 + 3) ( 2 ⋅ 5 + 1) Multiply straight
= ⋅ across.
4 5
Simplify, if can. No
−7 11 −77 need to change to a
= ⋅ = mixed number unless
4 5 20 the question says to.

While shopping you found a pair of shoes on sale
for 1/3 off the regular price. If the regular price
is $78.98, how much will be marked off the
price? Round to the nearest cent.

Write as
multiplication.

1 78.98 Write as
⋅ multiplication.
3 1

1 78.98 Write as
⋅ multiplication.
3 1
Multiply straight
across.

1 78.98 Write as
⋅ multiplication.
3 1
Multiply straight
78.98 across.
=
3

1 78.98 Write as
⋅ multiplication.
3 1
Multiply straight
78.98 across.
=
3 Divide.

1 78.98 Write as
⋅ multiplication.
3 1
Multiply straight
78.98 across.
=
3 Divide.
= 26.326666....

1 78.98 Write as
⋅ multiplication.
3 1
Multiply straight
78.98 across.
=
3 Divide.
= 26.326666.... Write answer rounded
to nearest cent.

1 78.98 Write as
⋅ multiplication.
3 1
Multiply straight
78.98 across.
=
3 Divide.
= 26.326666.... Write answer rounded
to nearest cent.
= $26.33

Simplify
3.2 ( 8x − 2x ) Because there are like
terms inside ( ),
simplify these ﬁrst.

Simplify
terms inside ( ),

= 3.2 ( 6x )

Simplify
terms inside ( ),

= 3.2 ( 6x ) Now multiply the
numbers.

Simplify
terms inside ( ),

numbers.

= 19.2x

Simplify
terms inside ( ),

numbers.

= 19.2x Nothing else can be
done. This is the ﬁnal
answer.

Simplify
3.4 − 5 ( −7x ) Nothing to simplify inside
( ) so means multiplication.
It may make more sense to
change to addition before
multiplying.

Simplify
= 3.4 + ( −5 ) ( −7x ) change to addition before
multiplying.

Simplify
multiplying.
Now multiply.

Simplify
multiplying.
Now multiply.
= 3.4 + 35x

Simplify
multiplying.
Now multiply.
= 3.4 + 35x The ‘x’ doesn’t appear in
both terms. Therefore,
these are NOT like terms
and cannot be simpliﬁed
further.

Simplify
2
−2x + y if x = −3 and y = −5

Simplify
2
−2x + y if x = −3 and y = −5
Substitute values.

Simplify
2
−2x + y if x = −3 and y = −5
2 Substitute values.
= −2 ( −3) + ( −5 )

Simplify
2
−2x + y if x = −3 and y = −5
= −2 ( −3) + ( −5 )
Simplify exponent.

Simplify
2
−2x + y if x = −3 and y = −5
= −2 ( −3) + ( −5 )
Simplify exponent.
= −2 ( 9 ) + ( −5 )

Simplify
2
−2x + y if x = −3 and y = −5
= −2 ( −3) + ( −5 )
Simplify exponent.
= −2 ( 9 ) + ( −5 )
Do Multiplication.

Simplify
2
−2x + y if x = −3 and y = −5
= −2 ( −3) + ( −5 )
Simplify exponent.
= −2 ( 9 ) + ( −5 )
Do Multiplication.
= −18 + ( −5 )

Simplify
2
−2x + y if x = −3 and y = −5
= −2 ( −3) + ( −5 )
Simplify exponent.
= −2 ( 9 ) + ( −5 )
Do Multiplication.
= −18 + ( −5 ) Do Addition.

Simplify
2
−2x + y if x = −3 and y = −5
= −2 ( −3) + ( −5 )
Simplify exponent.
= −2 ( 9 ) + ( −5 )
Do Multiplication.
= −18 + ( −5 ) Do Addition.

= −23

Simplify
−7.1x ( 2y ) − 3.3x ( 5y )

Simplify
−7.1x ( 2y ) − 3.3x ( 5y ) Multiply numbers.

Simplify

= −14.2xy − 16.5xy

Simplify
Both terms have the
= −14.2xy − 16.5xy same variables so
they are like terms.
Change subtraction
to addition.

Simplify
Both terms have the
= −14.2xy + ( −16.5xy ) Change subtraction
to addition.

Simplify
Both terms have the
to addition.
Add like terms.

Simplify
Both terms have the
to addition.
Add like terms.
= −30.7xy

The end...
So it’s time to try Homework 5!

Unit 2 hw5 mult fraction, simplify

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