The document discusses different types of fractions including proper, improper, mixed, and equivalent fractions. It provides examples and explanations of how to convert between mixed and improper fractions, find equivalent fractions, and reduce fractions to their lowest terms. The document also covers adding and subtracting like and unlike fractions by first finding the least common multiple of the denominators.

2.  Fraction is a part of a whole.
8 – 4 out of
8
4/8
1+1+2+2= 6 out
of 12= 6/12

4. TYPES OF FRACTIONS
1. Proper Fractions- A proper fraction is
a fraction in which the numerator is
smaller than denominator.
2/7, 5/8 12/17
2. Unit fractions- A proper fraction
which has one as numerator is called
a unit fraction.
½ 1/3 1/8 1/57

5. 3. Improper fractions- An improper
fraction is a fraction in which the
numerator is greater than the
denominator.
7/2 17/12 15/8
4.Mixed fractions- A fraction having a
whole number with a fractional
number is called mixed fraction.

6. CONVERSION OF MIXED FRACTIONS
INTO IMPROPER FRACTION
Improper fraction
=(Whole number x denominator)+
Numerator
denominator
 Express 2 3/5 as an improper fraction.

7. CONVERSION OF MIXED FRACTION
INTO IMPROPER FRACTION

8. EQUIVALENT FRACTIONS
The fractions having the same value and
represented in different ways are called
equivalent fractions.

9. Write four equivalent fractions of-
1. 2/3=4/6=6/9=8/12=10/15
2. 4/5=8/10= 12/15=16/20=20/25

10. Find the equivalent fraction of
27/36 by finding the value of *
 27 = 3 = * = 54
36 * 24 *
 27 = 3 = 18 = 54
36 4 24 72

11. LOWEST TERM
A Fraction is said to be in its lowest
term if the only common factor
between the numerator and the
denominator of the fraction is 1.
It is also known as standard or
simplest form.

12. Reduce each of the following
fractions to their lowest term.
 48/60
HCF of 48 and 60= 12
48 ÷ 12= 4
60 ÷12 = 5
 126/90
HCF of 126 and 90=18
126 ÷ 18 = 7
90 ÷ 18 = 5

13.  500 grams as fraction of a kilogram.
1 KG= 1000g
500
1000
HCF of 500 and 1000 is 500.
500 ÷ 500= 1
1000 ÷ 500= 2

14. Like fractions
Two or more fractions with the
same denominators are called like
fractions.
7/20, 13/20, 11/20
Unlike fractions
Two or more fractions with different
denominators are called unlike
fractions.
7/45, 13/20, 11/23

15. HOW TO CONVERT UNLIKE
INTO LIKE FRACTIONS.
1. Steps 1- Find the LCM of the
denominators.
2. Step 2- Then convert the given
fractions with the LCM as
denominator.

16. Conversion of unlike fractions
into like fractions.
a) 3/8, 5/6 and 7/12
LCM of 8,6 and 12= 24
3 x3= 9
8 x3= 24
5/6= 20/24
7/12= 14/24
9/24, 20/24, 14/24

17. 2. 4/6,5/8,2/4
 LCM OF 6,8 and 4= 24
4/6= 16/24
5/8= 15 /24
2/4= 12/24
The like fractions are 16/24, 15/24 and
12/24.

18. Addition and Subtraction of
unlike fractions
1.2 1/9+ 1 1/3
2 1/9=19/9
11/3= 4/3
LCM of 9 and 3 is 9
19/9=19/9
4/3 x 3/3=12/9
19/9+12/9=31/9
= 3 4/9