## Fractions

Exercise

1.

2. _{} + _{}- _{})

_{}'_{}

3. _{} of (_{} ' _{} )

Lesson Objectives

#### By the end of this lesson you should be able to:

carry out combined operations on fractions in the

correct order.

Introduction

Evaluate:

a). _{
}^{+}
_{
}-
_{
} b).
_{
}+_{}-_{}

Solutions

In order to find the solution we must

find the LCM of the denominators

2 6 3 4 8 3

2 2 3 3 2 2 4 3

3 1 1 1 2 1 2 3

2 1 1 3

3 1 1 1

L.C.M = 2 x 3 L.C.M = 2 x 2 x2 x 3

= 6 = 24

a) _{
}+
_{
}-
_{
}=_{}
b) _{}+_{}-_{}=
_{
}

=_{}
= _{
}

=_{}^{=}_{}
= _{
}

The order of operations in fractions is the same as that

used for whole numbers.

That is working out the brackets first, then multiply,

add and subtract in that order. Of is taken as multiplication.

Example 1.

Evaluate each of the following:

a). _{
} -
(_{}
x _{
} )

Solution

a) _{
} '
(_{}
x _{
} )
b) _{
} x
(_{}
+ _{
} )
' _{
}

= _{
} '
(_{}
x _{
} )
=_{}
x (_{})
' _{
}

= _{
} '
(_{})
=_{}
x (_{}'_{})

= _{
} x
(_{})
=_{}
=_{}
x (_{}x_{})

=_{}
x _{
}

= _{
}

c) _{
} +
_{
}x
(_{}-_{})

= _{
} +
_{
}x
(_{})

= _{
} +
(_{}x
_{
})

= _{
} +
_{
}

=_{}

= _{
}=
_{
}

Example 2

Evaluate the following:

a). _{
} of
_{
}-
_{
}x
_{
})
b). _{
} x
_{
}'
(_{}of
_{
})

= _{
} of
_{
}-
_{
}x
_{
})
= _{
} x
_{
}'
(_{}x
_{
})

=_{}
x _{
}-
_{
}x
_{
})
= _{
} '
(_{})

= _{
}-_{}=_{}
= _{
} x
_{
}

= _{
} =
_{
}

Example 3

a).(
_{
})
x _{
} x
_{
}'
_{
} b)._{}
of _{
} -
_{
}

_{
}x
_{
} _{}-_{}'_{}

=
( _{
})
x _{
} x
_{
}'
_{
}
= _{}x_{}
-_{}

_{} x
_{} _{}-_{}'_{}

=
_{
} x
_{
} x
_{
}x
_{
} =
_{
} -_{}

_{} x
_{
} _{}-_{}x_{}

= _{
} x
_{
} =
_{
} -_{}

_{}
_{
}-_{}

= _{} x
_{
} =
_{
} =
_{
}'_{}

=
_{}
_{}

= _{
}'_{}
=_{}x_{}

= _{
}x_{}
= _{
}

Further Exercise

Evaluate the following

1

a) _{ } +_{ }

_{ }' _{}-_{ }

WORKING SPACE

b) _{}x_{ }-_{ }

_{ }+_{ }[_{ }-_{ }]

c) (_{}+_{}-_{}) '_{}

2. Wambui
uses _{}of her monthly salary on rent and _{} on fuel.

She
uses _{}of the remainder on electricity bills and saves the

rest. What fraction of her salary does she save?

3. The size
of a farm is 270 ha. _{} of the farm is planted
with

maize. Two thirds of the remaining land is under beans. The

rest of the farm is under grass. What area of the farm is under grass?

4. A small group can empty a tank in 4 minutes and a large pump

can empty the same tank in 3 minutes.

a). Find the fraction of the tank that each pump will empty in one

minute.

b). Find the fraction of the tank that both pumps working

together can empty in one minute.

c). Find the time that both pumps working together will take on

empty the tank.

**END**

FRACTIONS Fractions are quite essential in sharing things equally. Discover what they can do to your daily life.

.

Fractions

## e-Content

Buy e-Content Digital CD covers all the topics for a particular class per year. One CDs costs 1200/-

click to play video

Purchase Online and have the CD sent to your nearest Parcel Service. Pay the amount to Patrick 0721806317 by M-PESA then provide your address for delivery of the Parcel.. Ask for clarification if in doubt,

Fractions

###### Candidate benefit from our quick revision booklets which are comprehensive and how to tackle examination question methods

###### We have an enourmous data quiz bank of past papers ranging from 1995 - 2017

KCSE ONLINE WEBSITE provide KCSE, KCPE and MOCK Past Papers which play a great role in students� performance in the KCSE examination. KCSE mock past papers serves as a good motivation as well as revision material for the major exam the Kenya certificate of secondary education (KCSE). Choosing the KCSE mock examination revision material saves you a lot of time spent during revision for KCSE . Choosing the KCSE mock examination revision material saves you a lot of time spent during revision for KCSE. It is also cost effective

#### MOCK Past Papers

As a student, you will have access to the most important resources that can help you understand what is required for you to sit and pass your KCSE examination and proceed to secondary school or gain entry to University admission respectively.

#### KCSE ONLINE

Similar

More

Similar

KCSE ONLINE WEBSITE provide KCSE, KCPE and MOCK Past Papers which play a great role in students� performance in the KCSE examination.

Choosing the KCSE mock examination revision material saves you a lot of time spent during revision for KCSE. It is also cost effective

Ask for clarification if in doubt, vitae dignissim est posuere id.

Fractions

sit amet congue Mock Past Papers, give you an actual exam situation in readiness for your forthcoming national examination from the Kenya National Examination Council KNEC

Choosing the KCSE mock examination revision material saves you a lot of time spent during revision for KCSE. It is also cost effective sapien.

Choosing the KCSE mock examination revision material saves you a lot of time spent during revision for KCSE. It is also cost effective sapien.

Fractions

As a supplementary to coursework content our e-library for digitized multimedia CDs while enhance and ensure that you never missed that important concept during the normal class lessons. It is a Do it Yourself Project..

Candidates who would want their papers remarked should request for the same within a month after release of the results. Those who will miss out on their results are advised to check with their respective school heads and not with the examination council

For Best results INSTALL Adobe Flash Player Version 16 to play the interactive content in your computer. Test the link below to find out if you have Adobe Flash in your computer.