Some Points Regarding Percentage and Fractions Video Lecture - Class 7

hello friends this video on comparing
quantities for eight is brought to you
by exam feel calm no more fear from exam
so now let's see where do we use
percentages in real life who do we
really use them in our day-to-day
activities yes we do so so these were
our takeaways from last slide right that
proper fractions means less than 100%
improper fractions means more than 100%
so let us take one example each from a
day to day life where we get to see that
ye proper fractions correspond to less
than hundred percent and while improper
fractions correspond to more than
hundred percent let's look at this one
now if they ask you that how much
percent of the pizza can you eat so what
would be that value do you think that
percentage can be more than 100 percent
it can't be right because you just have
that one pizza there is no other option
that nobody is going to bring you more
pizza so your percentage would always be
less than or equal to hundred percent
how that's because like us as you that
if you cut that Israel two equal slices
you get a total of say five slices so
you can either eat one out of five
slices all you can eat two out of five
slices or you can eat three out of five
slices or four out of five slices or
five of the five slices so these are the
possible options and when you look at
these possible options you see all of
them and proper fractions because the
numerator is smaller and when the
numerator and denominator is equal that
take the percentages exact
hundred-percent now do you think that
you can eat six slices of the pizza out
of five slices no because you have a
total of five slices so how can you eat
six slices you do not have six slices at
all right so in this scenario you will
always end up having proper fractions
and therefore your percentage will
always be less than 100% let's look at
another scenario let's say that this is
a shopkeeper who is selling this book
right now this shopkeeper
how did he get the book now he runs a
bookshop but that doesn't mean that he
is making those books so he is buying
these books from maybe the wholesale
market so he is buying the books from
the wholesale market so the price which
he is paying to buy these books is the
cost friends so that is the price with
which he is buying the book
now when the shopkeeper is selling the
book to the customers then the price
which should they pay to get this book
is the selling price now it is possible
that maybe this person has purchased
this book for say rupees let's say 10
and now when he has to sell this he is
selling it at a price of rupees 20 so he
bought it for 10 and he is selling it
for 20 so in this case if you see the
selling price is more than the cost
friends correct so what is happening
here in this case the increase is 100%
the increase can be more than 100% also
because the selling price can be
anything if he wants he can sell it for
20 if he wants he can sell it for 50 if
he wants you can sell it for 100 so
basically the increase can be anything
and since the increase can be anything
so if you calculate his profit
percentage so if you calculate this
profit percentage that can definitely be
more than 100 percentage he can have a
profit percentage of 150 percent of 200
percent nine hundred percent right so
the profit percentage can increase now
how do we calculate profit percentage is
something that we will discuss a little
later but in this example you can
understand that there is no limit to the
increase that can happen the since there
is no limit to the increase that can
happen so definitely you end up having
the improper fractions right because in
this case let us say that the shopkeeper
is selling the same book for rupees 100
so he bought it for 10 and he is selling
it for hundred so how much is the
increase so the increase in price
is basically 100 minus 10 which is 90 so
rupees 90s they increase so when you
look at the faction of increase so this
increase is on the cost price pen so
finally by 10 so what is it it is an
improper fraction so when you convert it
into percentage you are going to get a
value which is greater than hundred
percent so these are no examples from
our real-life in one example we saw that
we always end up getting proper
fractions and therefore less than 100
percent in the other example we can get
improper fractions and therefore go than
hundred percent so now let us see how do
we convert a percentage into fractions
fraction two percentage we already saw
now it is just the vice versa now here
you really do not have a lot of steps a
percentage is always a numerator divided
by hundred so let us look at a few
examples let's look at example one let's
say that you have 54 percent and you
have to convert this into fraction so
what is the meaning of 54 percent it
means 54 out of hundred so now what is
this this is nothing but the fraction so
we will try to reduce it to the simplest
form because there exists equivalent
fractions right so you see if you have
any such digit which can divide both the
numerator and the denominator so what is
that a common factor right so two twos
are four two sevens of 14 2 into 27 is
54 2 into 50 is 100 so you get 27 by 50
so what is this this is a proper
fraction now the value of the percentage
was less than 100 so be there expecting
to get a proper fraction let's look at
example number 2 let's say you have 12
percent so 12 percent is nothing but 12
out of 100 so again when you simplify
this it would be two six or twelve to
fifteen - fifteen hundred to threes or
six to twenty five so fifteen so this is
going to be three by twenty
file which again is a proper fraction
and therefore you have 12% which is less
than 100% now let us look at some
percentages which are greater than
hundred let's talk about 101 percent
what would be this value this would be
hundred one by hundred and this is the
simplest form so 100 one by hundred is
an improper fraction let's look at yet
another example say 150 percent how can
you write 150 it can be written as 150
divided by 100 so five threes a 15-5 two
sir 10 10 threes a 30 10 to the 20 so
this is 3 by 2 so 3 by 2 again is an
improper fraction thank you please visit
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