Examples: Equivalent Fractions (Part- 1) Video Lecture - Class 6

hello friends this video on fractions
part 11 is brought to you by exam for
calm no more fear from exam so based on
whatever we have learnt about different
types of fractions we look at some
questions
question number one find the equivalent
fraction of three by five having
denominator 30 okay so we have to find
out equivalent fraction of three by five
that means we then have to multiply the
numerator and the denominator by such a
number such that the result has a
denominator 30 so that is our aim
so now just think what does that number
which will divide it by 5 gives 36 right
so what we will do we will multiply the
numerator and the denominator by 6
that's because we need to multiply both
numerator and denominator by the same
number so if denominator is multiplied
it by 6 so the numerator also must be
multiplied by 6 so this would be 18
divided by 30 so 18 by red leaves it
with an infraction question number 2
check whether the given fractions are
equivalent or not so we're at what are
the given fraction 7 by 13 and 5 5 11 so
whenever we have to check if they're
equivalent or not the first thing that
we do is we try to convert them into
this simplest form now let us first see
if they are in their simplest form or
not 7 by 13 when you see look at the
factors of 7 they have reduced 1 and 7
when you look at the factors of 13 it is
100 so that means that they do not have
any common factor other than 1 so 7 by
13 is in its simplest form what about 5
by 11 the same thing holds true for
filed by them also so 5 by 11 is also
your simplest form that means are they
equivalent no they are not so these two
fractions are not equivalent
question number 3 the Amish had 20
pencils
she knew had 50 pencils and
at 80 pencils okay so we have rubbish
she tanked am i so they all have
different numbers of pencils like 20 50
and 80 after four months rubbish used up
10 pencils so how many pencils were used
up by each of them so Ramesh I had used
up 10 pencils she who had used up 25
pencils and Jehan had moved up 40
pencils
okay what fraction did each user now if
if you talk about the fraction of
pencils which the issue stuff so he used
a pen pencils out of 20 pencils so 10
divided by 20 so if you try to convert
it into its simplest form you would get
1 by 2 now I am NOT doing the Dingle
process again you can do that by the
EXIF of 10 in 20 divided into 4 they
tend to nominator by dates if you will
get 1 by 2 similarly how many our
fraction she reduced up she used up 25
out of 50 which is again equal to 1 by 2
and what about German German used up 40
out of 50 which is also again equal to 1
by 2 so we find that 10 by 20 25 by 50
and 40 by 80
these are all equivalent fractions a
chain is each user and equal fraction of
his or her pencils yes they all do stuff
equal fractions because each of them
used up half of their pencils question
number 4 fill the following by the
correct number 5 by 8 is equal to 10 by
- now how would you get 10 in the
numerator only then you multiply the
numerator by 2 so if you multiply the
numerator by 2 you have to multiply the
denominator also
so what would be the result here 82 is
16 so this would be 16 similarly in this
key is 20 food in the denominator at 4
in the denominator of the design so that
means what have you done to 2048 4 since
you have got a smaller number than 24
that means you must have divided it by
some number and what is that number 6 so
they are all 0 so you will divide by 6
so this would be 3 let's look at the
third one so you get in the numerator
you have 15 and illuminated the design
where if the debris really important 5
and in the design 115 say even of a
small a number that means that you must
have divided it by some number and what
does that number which when dividing
which which will divide squat in 5 gives
the theme that's 3 you can find it out
in this fashion also what to file you
divided by 15 is equal to 3 so this
would so if you divide this also by 3 so
the denominator would be 20 so in this
fashion here you know whenever you are
working with fractions you should be
very much aware about the factors and
multiples so I will I am sure you would
have gone the chapter on factors
multiple legacy events in if you have
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