Select from the following fraction drills to start
A. Simplifying fractions
B. Adding and subtracting fractions
C. Multiplying fractions
D. Dividing fractions
A. Simplifying fractions
Fractions can be simplified by dividing both the numerator and denominator by a common factor until there is no more common factor.
e.g.
-
20
12
=
-
5
3
(4 is a common factor of 12 and 20, so divide both by 4)
WORKOUT TIME: Simplify or Cancel down the following fractions.
(Click Check Answers when you have finished)
1.)
-
21
15
2.)
-
60
24
3.)
-
45
27
4.)
-
120
50
5.)
-
125
75
B. Adding and subtracting fractions
To add or subtract fractions, both fractions must have the same DENOMINATOR
e.g.
-
4
3
+
-
5
3
(4 is a common factor of 12 and 20, so divide both by 4)
Step 1: Find the smallest number that both denominators divide completely (the lowest common multiple). In this case it is 20.
Step 2: Make both fractions have a denominator of 20
Step 3: Now add the fractions: only the top numbers are added or subtracted
-
4
3
=
-
20
15
-
5
4
=
-
20
16
-
20
15
+
-
20
16
-
20
31
=
=
-
20
11
1
WORKOUT TIME: Simplify or Cancel down the following fractions.
(Click Check Answers when you have finished)
1.)
-
6
2
+
-
6
1
=
2.)
-
5
3
+
-
5
2
=
3.)
-
10
9
-
-
10
7
=
4.)
-
4
3
-
-
4
2
=
5.)
-
25
13
+
-
25
11
=
6.)
-
3
2
+
-
6
5
=
7.)
-
10
3
+
-
5
4
=
8.)
-
20
11
+
-
10
7
=
9.)
-
15
13
-
-
3
2
=
10.)
-
8
7
-
-
2
1
=
11)
-
4
1
+
-
6
1
=
12)
-
7
3
+
-
5
2
=
13)
-
20
9
+
-
8
7
=
14)
-
4
3
-
-
3
2
=
15)
-
5
3
-
-
2
1
=
C. Multiplying fractions
To multiply fractions, simply multiply the NUMERATORS and DENOMINATORS
e.g.
-
4
3
X
-
5
4
Note: Always simplify fractions when you can
-
20
12
=
-
5
3
=
WORKOUT TIME: Simplify or Cancel down the following fractions.
(Click Check Answers when you have finished)
1.)
-
5
4
x
-
5
2
=
2.)
-
12
5
x
-
10
6
=
3.)
-
10
9
x
-
7
3
=
4.)
-
4
3
x
-
5
1
=
5.)
-
5
1
x
-
6
5
=
D. Dividing fractions
Fractions can be divided using the KFC (Keep Flip Change) method.
Click HERE to watch this video lesson
e.g.
-
4
3
÷
-
5
4
x
-
4
5
-
4
3
=
=
-
16
15
WORKOUT TIME:
1.)
-
5
4
÷
-
5
2
=
2.)
-
12
5
÷
-
10
6
=
3.)
-
10
9
÷
-
7
3
=
4.)
-
4
3
÷
-
5
1
=
5.)
-
5
1
÷
-
6
5
=
E. Adding and Subtracting mixed numbers
To add and subtract mixed numbers, change them first into top heavy fractions.
Add or subtract and change back into mixed numbers
WORKOUT TIME: Simplify or Cancel down the following fractions.
(Click Check Answers when you have finished)
1.)
+
=
-
2
1
5
-
2
1
5
2.)
=
3.)
=
4.)
=
6.)
+
=
-
2
1
5
-
2
1
5
7.)
=
8.)
=
9.)
=
a.) Ann mixes
-
2
1
5
cups of self-
raising flour with
-
3
2
3
all-purpose flour. How many
cups are there in total?
b.) She has to take out
-
4
1
2
cups. How many cups are there
now?
cups of