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 mixed fraction
is the sum of a whole number and
a proper fraction. Also we can express an improper fraction as a mixed fraction
by dividing the numerator by denominator to get quotient and remainder. Thus, any
mixed fraction can be written as
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
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