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Mathematics Grade 8
Lesson 3
Prepared by: Jasmin C. Alang- Miparanum
Classroom Rules
•Treat others with respect at all times.
•Listen to the teacher when she speaks.
•Ask for help when you need it.
•Listen and follow directions.
•Raise your hand before speaking or leaving
your seat.
Simplify these expressions
as far as possible:
Q1:
𝟖
𝟐𝟎
Q2:
𝟏𝟐𝒙
𝟑
Q3:
𝟔𝒙
𝟏𝟐𝒙𝒚
Q4:
𝟏𝟔𝒙𝟐𝒚
𝟐𝟒𝒙𝟑𝒚𝟒
Answers
Q1.
𝟐
𝟓
Q2. 4x
Q3.
𝟏
𝟐𝒚
Q4.
𝟐
𝟑𝒙𝒚𝟑
The lesson is about simplifying
algebraic fractions. An algebraic fraction
is a fraction where the numerator and/or
the denominator are algebraic
expressions. If a problem involves solving
an expression that involves algebraic
fractions, then it is necessary to have the
skills to be able to manipulate and
simplify these expressions.
Simplify – reduce the expression into a
simpler form.
Expression – a set of terms combined using
the four operations.
Cancel – simplify a fraction by dividing both
top and bottom by the same amount.
Common factor – numbers or terms that
divide exactly into a number or expression.
Read out the written text.
Jane wants to practice her algebraic
fraction skills. Her teacher suggested she
do some extra problems to help her
consolidate her skills. Jane practiced and
practiced lots of questions until she
could confidently simplify a number of
algebraic fractions into their simplest
form.
Simplify each algebraic fraction:
Q1:
18𝑎
24
Q2:
28𝑏𝑥
8𝑥
Q3:
27𝑥2
18𝑥
Q4:
30𝑎3
25𝑎2
Q5:
12𝑥5𝑦3
15𝑥4𝑦6
Answers
Q1.
𝟑𝒂
𝟒
Q2.
𝟐𝟕𝒃
𝟐
Q3.
𝟑𝒙
𝟐
Q4.
𝟔𝒂
𝟓
Q5.
𝟒𝒙
𝟓𝒚𝟑
After Jane completed these questions correctly, she
decided to do some more difficult questions to make
sure she really understood how to simplify algebraic
fractions.
Q1.
16𝑎23𝑏3
12𝑎29𝑏5
Q2.
25𝑚416𝑘8
20𝑘415𝑚5
Q3.
10𝑥312𝑦77𝑧10
8𝑥615𝑦421𝑧8
Answers
Q1.
𝟒
𝟗𝒃𝟐
Q2.
𝟒𝒌𝟒
𝟑𝒎
Q3.
𝒚𝟑𝒛𝟐
𝟑𝒙𝟑
Lesson Conclusion
o What were the key mathematical concepts addressed in this
lesson?
o Your level of understanding of the material in this lesson is
high, moderate, or low?
o Has the lesson helped you to gain further insight into aspects
of the material covered?
o Describe any issue to your progress and achievement in
relation to the topic area?
o What would best assist your progress and achievement in this
topic area?
LESSON 3.pptx
LESSON 3.pptx

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LESSON 3.pptx