Fractions

1. Fractions

Oleg Petrov

2. Description

The word fraction is derived from the Latin word fractio,
which means to break.
A fraction is the indicated quotient of two expressions.
a
b
5
7
5 xy
14 z

3. Arithmetic with fractions

Equivalent fractions
Comparing fractions
Subtraction
Addition
Multiplication
Division
5 1 10
= =
10 2 20
3 2
>
4 4
4 2 2
− =
5 5 5
1 3 4
+ = =2
2 2 2
1
×
4
1
÷
2
3
3
=
7 28
1 1 4
= × =2
4 2 1

4. Forms of fractions

Common or simple or vulgar fractions.
Complex fraction.
1
2
3
4
Proper fraction.
3 7
,
4 9
Improper fraction.
9 8
,
2 6
Mixed fraction.
3
3
2+ = 2
4
4
1 3 a
, ,
2 4 b

5. Reducible and Irreducible fractions

Any reducible fraction such as 4/6 in which the
numenator and denominator have a common factor
greater that the unity.
Any irreducible fraction is a common fraction such as
2/7 in which the numerator and denominator are
relatively primes.

6. Fractions

Oleg Petrov
e-mail: [email protected]
tel. +792304028344