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Thought-Process to Discover Knowledge

Welcome to **nub****trek**.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

Welcome to **nub****trek**.

The content is presented in small-focused learning units to enable you to

think,

figure-out, &

learn.

**Just keep tapping** (or clicking) on the content to continue in the trail and learn. continue

The content is presented in small-focused learning units to enable you to

think,

figure-out, &

learn.

To make best use of nubtrek, understand what is available.

nubtrek is designed to explain mathematics and science for young readers. Every topic consists of four sections.

nub,

trek,

jogger,

exercise.

This captures the small-core of concept in simple-plain English. The objective is to make the learner to think about. continue

Trekking is bit hard, requiring one to sweat and exert. The benefits of taking the steps are awesome. In the trek, concepts are explained with exploratory questions and your thinking process is honed step by step. continue

This captures the essence of learning and helps one to review at a later point. The reference is available in pdf document too. This is designed to be viewed in a smart-phone screen. continue

This part does not have much content as of now. Over time, when resources are available, this section will have curated and exam-prep focused questions to test your knowledge. continue

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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`

» **Procedural Simplification**: Division is multiplication by inverse

→ `3/4 -: 2/3`

→ `= 3/4 xx 3/2`

→ `= 9/8`

*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.

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

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. 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. 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. 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. 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. 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`'

*your progress details*

Progress

*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"