## Wednesday

### TET Syllabus - Mathematics Study Materials in Number System (Part VIII)

Teachers Eligibility Test - Paper 2

Class – VI Mathematics

NUMBER SYSTEM

FRACTIONS

Equivalent Fractions

Example: 1

Find three equivalent fractions of   .

Solution:

Equivalent fractions of   is

=  =

=  =

=  =

Comparison of Unlike Fractions

Example: 2

Sindhu ate  of the chocolate bar and Priya ate  of the chocolate bar. Who has eaten more?

Solution:

The portion of the chocolate eaten by Sindhu =

The portion of the chocolate eaten by Priya =

Here the portions of the chocolates eaten by both differ.

Finding the equivalent fractions of    and    .

Hence,

=    =

=     =

So,  >  .

Therefore, Sindhu has eaten more chocolates.

Example: 3

Arrange the fractions in ascending order:  ,  ,  .

Solution:

Equivalent fractions of   are

Equivalent fractions of    are

Equivalent fractions of     are

Therefore,  <  <

The ascending order of given fractions is  ,  .

Example: 4

Solution:

Given fractions are   and   .

These are unlike fractions.

The common multiple of 7 and 3 is 21.

Hence, we find the equivalent fractions of    and   with denominator 21.

=     =

=     =

+    =   +

=

Hence,   +    =   .

Subtraction of unlike fractions:

Example: 5

Simplify  -  .

Solution:

Common multiple of 2 and 3 is 6.

Equivalent fraction of    is

=  =

Equivalent fraction of    is

=   =

-   =    -

=

Hence,  -   =

Example: 6

Find the difference between and   .

Solution:

Given fractions are   and   .

These are unlike fractions.

So, let us convert them into 'like fractions' and compare.

The common multiple of 7 and 9 is 63.

Hence, we find the equivalent fractions of    and   with denominator 63.

Equivalent fraction of    is

=  =

Equivalent fraction of    is

=   =

-   =    -

=

=

Hence, the difference between and    is     .