1. Revision
Description
Recall basics
of fractions.
Reflect and Review
Teasers
Answers
To reduce any given fraction to
the simplest form, we first find
the HCF of numerator and
denominator, and then divide
both of them by the HCF.
1) Write the fraction
represented by the shaded
part in the below figure.
1)
2. Fractions
Description



The fraction in which the numerator To solve:
is less than the denominator is called
Proper fraction. On the number line
they lie between 0 and 1.
The fraction in which the numerator
is greater than the denominator is
called Improper fraction.
When the improper fraction is
written as the combination of a
whole and a part, it is called a Mixed
fraction. It is represented as
(

Reflect and
Review
).
Fractions having the same
denominators are called Like
fractions.
Teasers
1) Solve
Answers
1)
2)
2) The length of
a curtain
cloth is
From this,
of cloth
was used to
make
curtains for
the hall. Find
the
1


remaining
cloth left
unused.
Fractions having different
denominators are called Unlike
fractions.
Addition and subtraction of fractions
is possible only when they are like
fractions.
3. Multiplication of Fractions by a Whole Number
Description


To multiply a
fraction by a
whole number,
we multiply the
whole number
by the
numerator of
the fraction,
keeping the
denominator
same.
The operator
‘of’ represents
multiplication.
Reflect and Review

To evaluate:
Teasers
1) Find the value of
the following
a)
b)

To evaluate:
2) Mr. Santosh
withdraws
₹6,00,000 from his
bank account. He
gives ¼ of it to his
wife and divides ¼
of it equally among
his three children,
uses of the
remaining for his
pension plan and
uses the remaining
on renovation of
his house. Find the
amount given to
each.
2
Answers
1) a) 105
b) 714
2) Wife’s share
= ₹1,50,000.
Share of each
child =
₹50,000.
Share used
for pension
plan =
₹1,20,000.
Share for
renovation =
₹1,80,000.
4. Multiplication of Fractions by a Fraction
Description

To multiply two fractions, we
have to multiply the
numerators of the fractions
and the denominators of the
fractions. i.e.,
if

Teasers
To evaluate:
6
1) Find which is greater
Answers
1)
or
2)
km
2) Find the distance
covered by a bike in
and are two fractions
then

Reflect
and
Review
.
.
The value of product of two
proper fractions is less than
both the fractions.
The value of product of two
improper fractions is greater
than each of the improper
fractions.
hours if it covers
km in a hour.
5. Division of Fractions
Description

A fraction obtained by
interchanging the numerator and
the denominator of a fraction is
called the reciprocal of the given
fraction.
i.e., if a, b  0, then the reciprocal
Reflect and
Review

To evaluate:
Teasers
Find the value
of the following
1)
Answers
1)
2)
2)
of the fraction is .


If the product of two fractions is 1,
then they are reciprocals to each

other.
The reciprocal of a proper fraction
is an improper fraction and the
reciprocal of an improper fraction is
To evaluate:
3



a proper fraction.
To divide a whole number by a
fraction, we have to multiply the
whole number by the reciprocal of
the fraction.
Dividing a fraction by a whole
number is same as multiplying the
fraction with the reciprocal of the
whole number.
Dividing a fraction by another
fraction is same as multiplying by
the reciprocal of the divisor.
6. Word Problems
Description
Reflect and Review
Applications in
various real life
situations.
The distance covered by
planting 24 trees with 2
½ m distance between
any two plants in a farm
is 60 m.
Since,
Teasers
Answers
1) In a district with 480 Schools,
of them are ZP schools,
1) ZP
schools =
160.
Private
schools =
300.
Single
teacher
schools =
20.
are private schools and the
rest are single teacher
schools. Find the number of
schools in each of the above
category.
2) Quantity of food needed to
feed 45 cattle for a month is
Find the quantity
of food need to feed a cattle
for a week. (1 month = 30
days)
4
2) 30