## Thursday

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

Teachers Eligibility Test - Paper 2

Class – VI Mathematics

NUMBER SYSTEM

Improper and Mixed Fractions

Improper Fractions:

Improper fraction =   .

Example: 1

Convert  into an improper fraction.

Solution:

Improper fraction =

=

=

=

Hence,  =

Mixed Fractions:

=

Example: 2

Convert  into a mixed fraction.

Solution:

=

6 +  = 6

Hence,    = 6  .

Example: 3

Find the sum of 5   and 3  .

Solution:

Given, 5   and 3  .

First we add the whole numbers:

5 + 3 = 8

+  =

=

Hence, 5  + 3   =  .

Example: 4

Solution:

3  + 7    = 3+7+ ( )

= 10+ )

=10 +

=10 +

= 10

Hence, 3  + 7  = 10  .

Subtraction of mixed fractions

Example: 5

Subtract 7  from 12  .

Solution:

Here 7 < 12 and  <  .

So we proceed as follows:

We convert the mixed fraction into improper fraction and then subtract.

7  =    =

And 12  =     =

Common multiple of 6 and 8 is 24.

Now,  =  =

=  =

-  =  -

=

= 5

Hence, 7  - 12  = 5