MATHEMATICS J SS1
WEEK ONE
DAY ONE
FRACTION
A fraction is a part of a whole or a part of a set. E g, 1/2, 3/4,
5/9 e. t. c
Example:
Addition of fraction
Simplify [a]3/7 + 2/7 [b]3/5 + 3/10 + 2/15
Solution
[a ]3/7 + 2/7
=the LCM =7
=3+2/7
=5/7
[b] 3/5 + 3/10 + 2/15
= the LCM = 30
=18 +9 + 4
30
=31/30
=1 1
30
ASSIGNMENT
Simplify the following
[a]11/18 + 2/9
[b] 2 2 + 5 3 + 3 9 [c] 5/12 + 1/4 + 3/10
7 8 14
DAY TWO
SUBTRACTION OF FRACTION
It is easy to subtract one
fraction from the other most especially when the fraction
have a common denominator.
Example
Simplify the following pairs of
fraction
a. 22/5 - 13/7
-25/14
b. 5 1
_ 2 2
5 3
Solution
[a ] 22/5 - 13/7 -25/14
The LCM OF 5, 7 and 14 = 70
= [14x 22] - [10x13] – [5x27]
70
= 308 – 130 – 135
70
= 308-265
70
= 43
70
[b] 5 1
_ 2 2
5 3
Solution
Take each of the fraction to
improper fraction form
= 26/5 - 8/3
the LCM of 5 and 3 =15
= 78-40
15
=38/15
=2 8
15
ASSIGNMENT
Simplify the
following
[a]3 7
– 1 3 - 1 13 [b] 6 5
– 1 5 - 1 1
– 3 [c] 4
1 - 25
8 10 24
12 22 3 11 42
21
DAY THREE
FRACTION INVOLVING ADDITION AND
SUBTRACTION
Example
Simplify the following
[1] 2 5 + 3
3 - 1 2 [2] 7
1 + 2 7 - 1 3
17 17
17 2 10
5
Solution
2 5 + 3
3 - 1 2
17
17 17
=express
each fraction as improper fraction
39/17 +
51/17 -19/17
=[39/17
+51/17] - 19/17
=39 +51 - 19
17
17
=90/17
-19/17
=90-19
17
=71/17 = 4 3
17
[2] 7 1 + 2
7 - 1 3
2 10
5
Solution
=15/2 +27/10 -
8/5
=70 +
27 - 16
10
=97 - 16
10 =
81/10 =8 1
10
ASSIGNMENT
Simplify the
following
[a] 2/9 +
1/36 - 3/10 [b]
3 7 +
1 3 - 1 13 [c]
4 2 +
2 1 - 7
8 10 24 6 5 10
DAY FOUR
EQUAVALENT
FRACTION
The
fractions 1/2, 2/4, 4/8, 8/16…..are equivalent fractions because the value of the
fraction are not changed if the numerator and denominator are multiplied or
divided by the same number
Example
Complete the
following by finding the missing numbers
1: 3/5 = /30
2: 1/2 =---
/6 = ---/10= 7/---
Solution
1. 3/5
= --/30 let the missing number be x
3/5=x/30
5x=90
Divide both sides by 5
5x/5=90/5
X=18.
2. ½ = /6= /10= 7/
½
= a/6 = b/10 = 7/c.
½
=a/6,cross multiply,
2a
= 6,divide both sides by 2
a =3.
½ = b/10,cross multiply
2b = 10,divide both sides by 2
b = 5.
½ = 7/c,cross multiply,
C = 14.
The complete
fractions are: ½ = 3/6 = 5/10 = 7/14.
ASSIGNMENT.
Complete the
fractions below by finding the missing values.
(a) 4/5
= 8/ = 16/ = /50 = 48/ . (b) ¾ = /20 = /30 =21/ .
DAY FIVE.
STILL ON EQUIVALENT FRACTIONS.
Simplify by finding the
missing numbers.
(a) 1/5
= /25 = 24/ = /20 . (b) ¾ = /8 =9/ = /20.
SOLUTION.
(a) 1/5
= /25 = 24/ = /20
1/5 = p/25 =
24/x = y/20.
1/5 =
p/25,cross multiply
5p =
25,divide both sides by 5
P = 5
(b) ¾
= /8 =9/ = /20
¾ = x/8 =
9/y =t /20
¾ =x/8,cross
multiply
4x
=24,divide both sides by 4
x = 6
¾ =
9/y,cross multiply
3y = 36,
divide both
sides by 3
y = 12.
¾ =
t/20,cross multiply
4t = 60
divide both sides by 4
t = 15.
ASSIGNMENT.
(a) 2/3
= /6 =10/ = /12. (b) 7/8 =/16 =21/. (c) 4/5 = 16/ = /50.
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