L4 : Rational Numbers vs Fraction - Rational Numbers , Maths, Class 7 Video Lecture

hello friends this video on rational
numbers part 4 is brought to you by exam
for calm no more fear from exam now as I
say that many a times students get
confused between rational numbers and
fractions so let us very clearly
distinguish rational numbers from
fractions now when we talk about
rational numbers these are numbers in
the form of P by Q where P and Q are
integers and Q not equal to 0 so these
are the two conditions that need to be
satisfied by any number which is in the
form of P by Q for example 1 by 6 is a
rational number minus 11 by 6 minus 9 by
minus 3 these are all examples of
rational numbers because in all of these
we see that both the numerator and the
denominator they add integers and the
denominator is not equal to 0 so that is
why they are all rational numbers
whereas okay
not only that even if we think of any
integer like 16 or minus 16 or 0 or 51
any integer you can think of is also a
rational number because any integer is
not the numerator itself it is actually
16 actually means 16 by 1 so again you
have a number in the form of P by Q
where P and Q are integers so these are
all examples of rational numbers now
when we talk about fractions or
fractional numbers so these are also
numbers in the form of P by Q but in
this case P and Q are natural numbers so
what are natural numbers number starting
from 1 till infinity so basically P and
Q in this case should be positive
numbers are also the negative numbers
are not considered and in this case
there is one more additional criteria Q
should not be equal to 0 which is there
for rational numbers also you should not
be equal to 1 as well what is
that mean that means that if you have a
number like 16 so if you say that 16 can
be written as 16 by 1 that means it is a
rational number but it is not a fraction
that's because it is not part of a whole
number 16 in itself is a whole number
but fraction is never a whole number it
is always a part of her own I think 1 by
5 1 by 6 so it is never a whole number
so that means 1 by 6 10 by 24 16 by 5
these are all examples of fractions so
it doesn't matter whether the numerator
is bigger or the denominator is bigger
that is not a problem the only thing is
that the denominator should not be equal
to 0 the denominator should not be equal
to 1 and both P and Q should be natural
numbers so this is the basic difference
between a rational number and a fraction
so please pay attention to this because
a lot of times students ignore this and
when they go to their higher classes
they often confuse that how our
fractions different from rational
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