This document discusses different types of fractions including proper fractions, improper fractions, and mixed fractions. It explains how to convert between improper fractions and mixed numbers, and how to reduce fractions to their lowest terms. The document also covers factoring numbers to find common factors and greatest common factors, finding multiples and common multiples, and operations involving fractions such as addition, subtraction, multiplication, and complex fractions.

1. Operations of Fractions
and Operations
Complementing
Fractions

2. WHAT IS FRACTION?
A fraction or a
fractional number
is used to represent
a part of a whole.

3. 1
2
numerator
denominator
The dividing line

4. NUMERATOR
 The numerator
tells us how
many of these
equal parts are
being
considered.
2
3
Read as: Three-fourths or
3 out of 4

5. DENOMINATOR
3
4
 A denominator
lets us know the
number of equal
parts into which
something is
divided.Read as: Three-fourths or
3 out of 4

6. WHAT ARE THE
IMPORTANCE OF
FRACTION IN OUR
LIVES?

7. 1. Proper Fraction
Example: 1
2
2. Improper
Fraction
Example: 5
3
3. Mixed Fraction
Example: 2 1

8. 1. Proper Fraction is determined
when the numerator is less than
the denominator. So, the given
is less than one.
Examples:
2 , 1 , 5 , 9 , and 110
3 4 8 20 230

9. 2. Improper Fraction is determined
when the numerator is greater
than the denominator. Thus, the
given is more than one.
Example:
4 7 15 27 30 and 890
3 2 9 16 15 122

10. 3. Mixed Fraction is when a given term
contains both a whole number and a
fraction.
Example: 5 1
4
Convertible Processes of Mixed
Numbers:
a. From improper fractions to mixed
numbers
b. From mixed numbers to improper

11. . From improper fractions
to mixed numbers
. From mixed numbers to
improper fractions
 To change an
improper fraction to
mixed number, divide
the denominator into
the numerator. Only
improper fractions
are convertible into
mixed numbers.
 To change a mixed
number to an
improper
fraction, multiply the
denominator into the
whole number, add in
the numerator, and
put over the original
denominator.

12.  A given fraction should be reduced to
lowest term. Reducing fraction is done
by dividing both the numerator and
denominator by the largest number
that will divide evenly into both.
Example:
Reduce 15 to lowest term.
25

13.  When multiplying
fractions, „cancelling‟ is an
important factor. You could first
eliminate for your need to reduce
your answer. Cross processing is
applied in this operation.
Example:
2 x 5 = 5
3 12 18

14.  Factors of a given number are those
whole numbers which when multiplied
together yield a number.
Example:
What are the factors of 10?
Since: 10= 2x5
1x10
So, the factors of 10 are 1,2,5 and 10.

15. Operations of Factoring:
 Common Factors are those factors
that are the same for two or more
numbers.
 Greatest Common Factor is the
largest factor common to two or more
numbers.

16.  Multiples are the numbers that found
by multiplying the given numbers into
1,2,3,4,5,6,7 etc.
Example: (first seven multiples)
a. 2x1=2,4,6,8,10,12 and 14
b. 5= 5,10,15,20,25,30 and 35
c. 9= 9,18,27,36,45,54 and 63

17.  Common Multiples are those multiples
that are the same for two or more
numbers.
 Least Common Multiple is the
smallest multiple that is common to
two or more numbers.
Operations for Multiples:

18. Complex Fractions are consist of
either numerator and denominator of
several numbers. These numbers
must be combined into one number.
Then reduce it if necessary.

19. “SUCCES IS A DAILY PROCESS”
Thank you for listening
and cooperating 