Quotient + [ Remainder / Divisor ] = Quotient [ Remainder / Divisor ].

**Improper
and Mixed Fractions**

**Think about the situation**

Iniyan had 5 idlis for his breakfast. When he was
about to eat, his friend Abdul came. He wanted to share it equally with his friend
Abdul. Both of them have taken 2 each and 1/2 of the remaining idli.

Each one has eaten 2 full idlis and 1/2 idli. This
can be represented as 2 + 1/2 = 2 1/2. This representation is called a *Mixed*** fraction**. Thus, a

Quotient + [ Remainder / Divisor ]
= Quotient [ Remainder / Divisor ].

Another way to share these idlis is as follows:
Now can you see how many halves are there in 5 idlis. There are 10 halves. If we
share these 1/2 idlis each time, then Iniyan and Abdul has eaten 5 halves each. That is which is same as ~~.~~ Thus, any improper fraction can
be written as mixed fraction as

*Improper
fraction = *[* (Whole number × Denominator) + Numerator*
]* / Denominator *

** **

**Try these**

**1. Complete the following table. The
first one is done for you.**

** **

__Example 10__

Convert 5 3/7 into an improper fraction.

**Solution **

Improper fraction = [ (Whole number ×Denominator)
+ Numerator ] / Denominator

** **

**Think**

** **

__Example ____11__

Convert 17/3 into a mixed fraction.

**Solution **

**Try these**

**i) Convent 3 1/3 into
improper fraction**

3 1/3 improper fraction 10/3

**ii) Convent 45/7 into improper fraction**

Mixed fraction of 45/7 = 6
3/7

Tags : Fractions | Term 3 Chapter 1 | 6th Maths , 6th Maths : Term 3 Unit 1 : Fractions

Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail

6th Maths : Term 3 Unit 1 : Fractions : Improper and Mixed Fractions | Fractions | Term 3 Chapter 1 | 6th Maths

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