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Thought-Process to Discover Knowledge

Welcome to nubtrek.

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.

User Guide

Welcome to nubtrek.

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.

User Guide

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.

User Guide

nub is the simple explanation of the concept.

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

User Guide

trek is the step by step exploration of the concept.

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.

User Guide

jogger provides the complete mathematical definition of the concepts.

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.

User Guide

exercise provides practice problems to become fluent in the concepts.

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.

summary of this topic

### Arithmetics with Fractions

Voice

Voice

Home

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
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'

Progress

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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