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Thought-Process to Discover Knowledge

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nub is the simple explanation of the concept.

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summary of this topic

Arithmetics with Fractions

Arithmetics with Fractions

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Division of Fractions


 »  `a/b -: c/d` = `a/b xx d/c`


 »  `6 -: 3`
    →  `6` is `3` parts and find the group representing `1` part
    →  `= 2`


 »  `2 -: 1/3`
    →  `2` is `1/3` part and find the group representing `1` part
    →  `= 6`

 »  `3/4 -: 2/3`
    →  `3/4` is `2/3` part and find the group representing `1` part
    →  `= 9/8`

Making sense of the first principles of division by fraction is one of the exhilarating experiences of learning.


 »  Procedural Simplification: Division is multiplication by inverse
    →  `3/4 -: 2/3`
    →  `= 3/4 xx 3/2`
    →  `= 9/8`

Division of Fractions

plain and simple summary

nub

plain and simple summary

nub

dummy

Division is inverse of multiplication.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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Fractions are part of whole. Division is dividing a number into equal parts. In this page, Division of two fractions is explained.


Keep tapping on the content to continue learning.
Starting on learning "Division of Fractions". ;; Fractions are part of whole. Division is dividing a number into equal parts. In this page, Division of two fractions is explained.

Division is the inverse of multiplication. And division of fractions can be easily explained with that.

`3/4 -: 2/3 `
`quad = 3/4 xx 3/2` (multiply by inverse)
`quad = 9/8`.

A learner may stop at this, but I would suggest to read the rest to understand how division works for fractions.

Division `6 -: 3 = 2` is illustrated in the figure.
 • `6` is the dividend
 • `3` is the divisor
 • `2` is the quotient
fraction division 6/3 What is the quotient as illustrated in the figure?

  • `1`
  • `2`

The answer is '`2`' Dividend `6` is split into divisor `3` parts and one part of that `2` is the quotient.

One way to understand the integer division:

 •  Dividend `6` is considered as `3` parts

 •  in that `3` is the divisor

 •  In the `3` parts one part is taken. fraction division 6/3 The key in this explanation is " dividend is considered as divisor parts and one part is taken". The same can be extended for fractions.

Division `2 -: 1/3 ` is illustrated in the figure.fraction division 2 by 1/3 Dividend `2` is split as divisor `1/3` parts. That is `2` is the fraction `1/3` and the full part for the fraction is found. The `1/3` part is repeated to get the full part. This is shown in the figure.
What is the quotient as illustrated in the figure?

  • `2`
  • `6`

The answer is '`6`'. In this, one part `6` is the quotient. `2-:1/3 = 6`

Division `4 -: 2/3 ` is illustrated in the figure.fraction division 4 by 2/3 Dividend `4` is split as divisor `2/3` parts. What is the quotient as illustrated in the figure?

  • `6`
  • `12`

The answer is '`12`'.

In this, one part `6` is the quotient.
`4-:2/3 = 6`

Division `3/4 -: 2/3 ` is considered.fraction division 3/4 The figure shows the dividend `3/4`. The division is illustrated in the next page.

Division `3/4 -: 2/3 ` is illustrated in the figure.fraction division 3/4 by 2/3 Dividend `3/4` is split as divisor `2/3` parts. This is shown in the figure. What is the quotient as illustrated in the figure?

  • `3/8`
  • `9/8`

The answer is '`9/8`'. In this, the place value is `1/8` and the count is 9.
The same can be simplified as follows.

`3/4-:2/3 =3/4 xx 3/2 = 9/8`

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Division of Fractions: Given two fractions `p/q` and `l/m`, the division is
`p/q -: l/m`
`quad = p/q xx m/l`
`quad = (p xx m)/(q xx l)`



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Divide `14/18 -: 4/3`.

  • `7/12`
  • `13/18`

The answer is '`7/12`'

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About you

Progress

Division is the inverse of multiplication. And division of fractions can be easily explained with that. 3 by 4 divided by 2 by 3, equals 3 by 4 multiplied 3 by 2, equals 9 by 8. A learner may stop at this, but I would suggest to read the rest to understand how division works for fractions.
Division 6 divided by 3 equals 2 is illustrated in the figure. 6 is the dividend. 3 is divisor. 2 is the quotient. What is the quotient as illustrated in the figure?
1
1
2
2
The answer is "2". Dividend 6 is split into divisor 3 parts and one part of that 2 is the quotient.
One way to understand the integer division: ;; Dividend 6 is considered as 3 parts ;; in that 3 is the divisor ;; In the 3 parts one part is taken. ;; This explanation can be extended for fractions. ;; The key in this explanation is, dividend is considered as divisor parts and one part is taken. The same can be extended for fractions.
Division 2 divided by, 1 by 3, is illustrated in the figure. Dividend 2 is split as divisor 1 by 3 parts. That is 2 is the fraction 1 by 3 and the full part for the fraction is found. The 1 by 3 part is repeated to get the full part. This is shown in the figure.
2
2
6
6
The answer is "6". In this, one part 6 is the quotient. 2 divided by 1 by 3 equals 6.
Division 4 divided by 2 by 3 is illustrated in the figure. Dividend 4 is split as divisor 2 by 3 parts. What is the quotient as illustrated in the figure?
6
6
12
12
The answer is "12" In this, one part 6 is the quotient. 4 divided by 2 by 3 equals 6.
Division 3 by 4 divided by 2 by 3 is considered. The figure shows the dividend 3 by 4. The division is illustrated in the next page.
Division 3 by 4 divided 2 by 3 is illustrated in the figure. Dividend 3 by 4 is split as divisor 2 by 3 parts. This is shown in the figure. What is the quotient as illustrated in the figure?
3
3 by 8
9
9 by 8
The answer is "9 by 8". In this, the place value is 1 by 8 and the count is 9. The same can be simplified as follows.
Division is inverse of multiplication.
Division of fractions: Given two fractions, p by q and, l by m, the division is ;; p by q divided by l by m ;; equals p by q multiplied m by l;; equals p times m, divided by, q times l.
Divide 14 by 18, divided by, 4 by 3.
7;12
7 by 12
13;18
13 by 18
The answer is "7 by 12"

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