Class 7 Exam > Class 7 Videos > Examples: Division of Fractions
Examples: Division of Fractions Video Lecture - Class 7
FAQs on Examples: Division of Fractions Video Lecture - Class 7
| 1. How do you divide fractions with the same denominator? |  |
Ans. To divide fractions with the same denominator, you simply divide the numerators and keep the same denominator. For example, if you have 3/5 ÷ 2/5, you would divide 3 by 2 to get 1. The answer would be 1/5.
| 2. What is the rule for dividing fractions with different denominators? | |
Ans. When dividing fractions with different denominators, you need to find a common denominator first. To do this, you can either find the least common multiple (LCM) of the denominators or multiply the denominators together. Once you have a common denominator, you can then divide the numerators. For example, if you have 1/3 ÷ 2/5, you would find a common denominator of 15. Then, divide 1 by 2 to get 1/2. The answer would be 1/2 ÷ 5/15 = 3/5.
| 3. Can you simplify the quotient of two fractions? | |
Ans. Yes, you can simplify the quotient of two fractions by dividing both the numerator and denominator by their greatest common divisor (GCD). This will give you the simplest form of the fraction. For example, if you have 6/8 ÷ 3/4, you would simplify by dividing both 6 and 8 by their GCD, which is 2. This gives you 3/4 ÷ 3/4 = 1.
| 4. What happens when you divide a whole number by a fraction? | |
Ans. When you divide a whole number by a fraction, you can convert the whole number into a fraction by giving it a denominator of 1. Then, you apply the same rules for dividing fractions. For example, if you have 4 ÷ 1/2, you can rewrite 4 as 4/1. Then, you multiply 4/1 by the reciprocal of 1/2, which is 2/1. This gives you 4/1 × 2/1 = 8.
| 5. Is it possible to divide fractions with zero as the numerator or denominator? | |
Ans. No, it is not possible to divide fractions with zero as the numerator or denominator. Division by zero is undefined in mathematics. It is important to avoid dividing by zero as it leads to mathematical inconsistencies and does not have a meaningful result.
Text Transcript from Video
hello friends this video on fractions
and decimals pack 15 is brought to you
by exam feel calm no more pure from exam
so based on whatever we have learned
about division on fractions let us with
division of fractions let us quickly
look at some of the questions question
number 1 find 5 divided by 3 4 by 7 so
first of all we will convert this mixed
fraction into improper fraction so 7
into 3 plus 4 that is 21 7 into 3 is 21
plus 4 that is 25 so this is 25 by 7 so
which is the division 25 by 7 is
division so we multiply it with
reciprocal of the visa that is 7 by 25 5
into 7 is 35 1 into 25 is 25 so this is
35 by 25 let us reduce it to its lowest
form so for reduction we will first have
to see the common factors so the factors
of 25 were 1 5 25 factors of 35 are 1 5
7 and 35 so which is the highest common
factor it is 5 so let us divide the
numerator and the denominator by 5 so 35
divided by 5 by 25 divided by 5 so this
is 7 and this is 5 so the answer would
be 7 by 5 question number 2 find the
reciprocal of each of the following
fractions classify the reciprocals as
proper fraction improper fraction and
whole numbers so what would be finding
reciprocal is very simple just swap the
numerator and the denominator so
reciprocal of 3 by 7 would be 7 by 3
reciprocal of 12 by 7 would be 7 by 12
reciprocal of 1 by 11 11 by 1 that is 11
now which is a proper fraction
wherever the numerator is lesser than
out of these three where do you see the
numerator is lesser than denominator
here so this is a proper fraction which
is an improper fraction definitely this
one because that numerator is 7 which is
greater than the denominator that is 3
and the business of whole number because
11th is a whole number it is a number
that falls between zero and infinity the
whole numbers start from 0 1 2 3 4 5 6
and so on so 11 is a whole number
question number 3 find 4 1 by 3 divided
by 3 so here also first of all we will
convert this into improper fraction 4
into 3 plus 1 so 4 into 3 is 12 plus 1
is 13 divided by 3 divided by 3 so here
the divisor is 3 so we can write it as
13 by 3 multiplied by 1 by 3 so now
let's multiply the numerators it is 13
let's multiply the denominators that's 3
into 3 which is 9 so the result is 13 by
9
question number 4 find 3 1 by 5 divided
by 1 2 by 3 so again let us try to
convert the between proper fractions so
here 5 into 3 15 plus 1 that is 16 by 5
divided by 3 into 1 that is 3 plus 2
that is 5 divided by 3 so here which is
the divisor so 5 by 3 is the divisor so
we can say 16 by 5 multiplied by 3 by 5
now let's multiply it normally that the
16 into 3 is 48 and 5 into 5 is 25 so 48
by 25 in case you want to convert it
into mixed fraction you can even do that
multiply and then divide 48 by 25 so you
get 25 once or 25 so the remainder is 23
therefore 48 by 25
be written as 123 by 25 so with this I
think you have understood how do we
perform division on fractions noting
multiplication or division on fractions
are not complicated things these are
very basic simple things it is just that
you need to do them step by step and try
to practice more and more questions so
that you know you get a hold of it thank
you please visit exam fee or come for
free quality education you can learn
with a simple four-step learning process
wherein you can watch video lessons you
can ask your questions you can refer
notes and you can take a free online
test we have content for class 6 to 12
on physics chemistry mathematics and
biology along with practical videos so
please subscribe to our channel for
daily updates thank you
and decimals pack 15 is brought to you
by exam feel calm no more pure from exam
so based on whatever we have learned
about division on fractions let us with
division of fractions let us quickly
look at some of the questions question
number 1 find 5 divided by 3 4 by 7 so
first of all we will convert this mixed
fraction into improper fraction so 7
into 3 plus 4 that is 21 7 into 3 is 21
plus 4 that is 25 so this is 25 by 7 so
which is the division 25 by 7 is
division so we multiply it with
reciprocal of the visa that is 7 by 25 5
into 7 is 35 1 into 25 is 25 so this is
35 by 25 let us reduce it to its lowest
form so for reduction we will first have
to see the common factors so the factors
of 25 were 1 5 25 factors of 35 are 1 5
7 and 35 so which is the highest common
factor it is 5 so let us divide the
numerator and the denominator by 5 so 35
divided by 5 by 25 divided by 5 so this
is 7 and this is 5 so the answer would
be 7 by 5 question number 2 find the
reciprocal of each of the following
fractions classify the reciprocals as
proper fraction improper fraction and
whole numbers so what would be finding
reciprocal is very simple just swap the
numerator and the denominator so
reciprocal of 3 by 7 would be 7 by 3
reciprocal of 12 by 7 would be 7 by 12
reciprocal of 1 by 11 11 by 1 that is 11
now which is a proper fraction
wherever the numerator is lesser than
out of these three where do you see the
numerator is lesser than denominator
here so this is a proper fraction which
is an improper fraction definitely this
one because that numerator is 7 which is
greater than the denominator that is 3
and the business of whole number because
11th is a whole number it is a number
that falls between zero and infinity the
whole numbers start from 0 1 2 3 4 5 6
and so on so 11 is a whole number
question number 3 find 4 1 by 3 divided
by 3 so here also first of all we will
convert this into improper fraction 4
into 3 plus 1 so 4 into 3 is 12 plus 1
is 13 divided by 3 divided by 3 so here
the divisor is 3 so we can write it as
13 by 3 multiplied by 1 by 3 so now
let's multiply the numerators it is 13
let's multiply the denominators that's 3
into 3 which is 9 so the result is 13 by
9
question number 4 find 3 1 by 5 divided
by 1 2 by 3 so again let us try to
convert the between proper fractions so
here 5 into 3 15 plus 1 that is 16 by 5
divided by 3 into 1 that is 3 plus 2
that is 5 divided by 3 so here which is
the divisor so 5 by 3 is the divisor so
we can say 16 by 5 multiplied by 3 by 5
now let's multiply it normally that the
16 into 3 is 48 and 5 into 5 is 25 so 48
by 25 in case you want to convert it
into mixed fraction you can even do that
multiply and then divide 48 by 25 so you
get 25 once or 25 so the remainder is 23
therefore 48 by 25
be written as 123 by 25 so with this I
think you have understood how do we
perform division on fractions noting
multiplication or division on fractions
are not complicated things these are
very basic simple things it is just that
you need to do them step by step and try
to practice more and more questions so
that you know you get a hold of it thank
you please visit exam fee or come for
free quality education you can learn
with a simple four-step learning process
wherein you can watch video lessons you
can ask your questions you can refer
notes and you can take a free online
test we have content for class 6 to 12
on physics chemistry mathematics and
biology along with practical videos so
please subscribe to our channel for
daily updates thank you
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About this Video
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Nov 24, 2024 Last updated |
Examples: Division of Fractions for Class 72024 is part of Class 7 preparation. The notes and questions for Examples: Division of Fractions
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