NCERT Solutions For Class 6 Maths Chapter 7 Exercise 7.1
Ncert Solutions for Class 6 Maths Chapter 7 Fractions Exercise 7.1:-
Exercise 7.1 Class 6 maths NCERT solutions Chapter 7 Basic Geometrical Ideas pdf download:-
Ncert Solution for Class 6 Maths Chapter 7 Fractions Exercise 7.1 Textbook Solutions:-
CLASS-6 Ex. 7.1 Fractions With Free Pdf
Introducation
Subhash had learnt about fractions in
Classes IV and V, so whenever possible
he would try to use fractions. One
occasion was when he forgot his lunch
at home. His friend Farida invited him
to share her lunch. She had five pooris
in her lunch box. So, Subhash and
Farida took two pooris each. Then
Farida made two equal halves of the
fifth poori and gave one-half to Subhash
and took the other half herself. Thus,
both Subhash and Farida had 2 full
pooris and one-half poori.
Where do you come across situations with fractions in
your life?
Subhash knew that one-half is written as
1
2 . While
eating he further divided his half poori into two equal
parts and asked Farida what fraction of the whole poori
was that piece? (Fig 7.1)
Without answering, Farida also divided her portion of the
half puri into two equal parts and kept them beside Subhash’s
shares. She said that these four equal parts together make
one whole (Fig 7.2). So, each equal part is one-fourth of one whole poori and
4 parts together will be
and take one part out of it.
Farida said that we have learnt that a fraction is a number representing
part of a whole. The whole may be a single object or a group of objects.
Subhash observed that the parts have to be equal.
Fractions:-
Let us recapitulate the discussion.
A fraction means a part of a group or of a region.
5
12 is a fraction. We read it as “five-twelfths”.
What does “12” stand for? It is the number of equal parts
into which the whole has been divided.
What does “5” stand for? It is the number of equal parts which have been
taken out.
Here 5 is called the numerator and 12 is called the denominator.
Name the numerator of
3
7 and the denominator of
4
15
What have we discussed?
1. (a) A fraction is a number representing a part of a whole. The whole may be a single
object or a group of objects.
(b) When expressing a situation of counting parts to write a fraction, it must be ensured
that all parts are equal.
2. In
5
7 , 5 is called the numerator and 7 is called the denominator.
3. Fractions can be shown on a number line. Every fraction has a point associated with it
on the number line.
4. In a proper fraction, the numerator is less than the denominator. The fractions, where
the numerator is greater than the denominator are called improper fractions. An improper
fraction can be written as a combination of a whole and a part, and such fraction then
called mixed fractions.
5. Each proper or improper fraction has many equivalent fractions. To find an equivalent
fraction of a given fraction, we may multiply or divide both the numerator and the
denominator of the given fraction by the same number.
6. A fraction is said to be in the simplest (or lowest) form if its numerator and the denomi-
nator have no common factor except 1.
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