Fractions - Mathematics Form 1
By the end of this lesson you should be able to:
carry out combined operations on fractions in the
a). + - b). +-
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.
Evaluate each of the following:
a). - ( x )
a) ( x ) b) x ( + )
= ( x ) = x ()
= () = x ()
= x () = = x (x)
c) + x (-)
= + x ()
= + (x )
Evaluate the following:
a). of - x ) b). x (of )
= of - x ) = x (x )
= x - x ) = ()
= -= = x
Example 3a).( ) x x b). of -
x -= ( ) x x = x -
x -= x x x = -
= x = -- = x = = = = =x = x =
Evaluate the following
+ [ - ]
2. Wambui uses
rest. What fraction of her salary does she save?
3. The size of a farm is 270 ha.
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
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.
FRACTIONS Fractions are quite essential in sharing things equally. Discover what they can do to your daily life.
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