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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

Voice

Voice

Home

Classification by number of parts

» Proper Fraction

→ fraction is smaller than the whole

→ eg: `2/4`

» Improper Fraction

→ fraction is larger than the whole

→ eg: `6/4`

» Mixed Fraction

→ a whole number and a fraction given together

→ eg: `1 2/4`

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

proper fraction: smaller than a whole and properly a fraction of a whole

improper fraction: larger than a whole in fraction form

mixed fraction: larger than a whole given as mix of a whole number and a fraction

*simple steps to build the foundation*

trek

*simple steps to build the foundation*

trek

You are learning the free content, however do shake hands with a coffee to show appreciation.

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Based on the value of the fraction in comparison with the whole, the fractions are classified as proper fractions, improper fractions and mixed fractions.

Starting on learning "Proper, Improper, and Mixed fractions". ;; Based on the value of the fraction in comparison with the whole, the fractions are classified as proper fractions, improper fractions and mixed fractions.

Note that the gray part is shown only as a representation of whole. What is the fraction represented by the colored part in the given figure?

- 5
- `1/4`

The answer is '`1/4`'.

What is the fraction represented by the colored part in the given figure?

- 6
- `2/4`

The answer is '`2/4`'.

What is the fraction represented by the colored part in the given figure?

- 6
- `6/4`

The answer is '`6/4`'.

The picture represents the fraction `6/4`. Number of parts in the given fraction: `6`

Number of parts making a whole: `4`

The number of parts in the given fraction is greater than the number of parts making a whole.

The picture represents the fraction `6/4`. The `4` parts of the given fraction is rearranged to make a whole and remaining `2` parts are shown nearby. So, `6/4` can be given as `1 2/4`.

The picture represents three fractions

• Fraction given by green part: `1/4`

• Fraction given by purple parts : `6/4`

• Fraction given by orange parts : `1 2/4` The word "fraction" means "part of a whole".

• In the three given fractions, only `1/4` is strictly part of whole. The value of the fraction is less than `1`, which is properly part of whole. Such fractions are called proper fractions.

• The fraction `6/4` is greater than `1`, and is represented as numerator by denominator. Such fractions are called improper fractions.

• The fraction `1 2/4` is greater than `1`, and is represented as a whole number along with a fraction. Such fractions are called mixed fractions.

What does the word 'proper' mean?

- of the required or correct type
- in the wrong position

The answer is 'of the required or correct type'.

What does the word 'improper' mean?

- not of the required or correct type
- in the wrong position

The answer is 'not of the required or correct type'.

What does the word 'mixed' mean?

- being only one of its kind
- consisting of different quantities or elements

The answer is 'consisting of different quantities or elements'.

What type of fraction is `3/7`?

- Practice Saying the Answer

The answer is 'proper fraction'.

What type of fraction is `17/7`?

- Practice Saying the Answer

The answer is 'improper fraction'.

What type of fraction is `2 3/7`?

- Practice Saying the Answer

The answer is 'mixed fraction'.

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

**Proper Fraction: **number of parts in the fraction (numerator) is less than the number of parts making a whole(denominator) given as numerator divided by denominator. Proper fractions are less than 1.

**Improper Fraction: **number of parts in the fraction (numerator) is greater than the number of parts making a whole(denominator) given as numerator by denominator. Improper fractions are greater than 1 given as numerator by denominator.

**Mixed Fraction: ** Specified as number of wholes with a fraction. Mixed fractions are greater than 1 and given as whole number followed by a numerator by denominator.

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

What type of fraction is `7 (30)/(35)`?

- proper fraction
- improper fraction
- mixed fraction

The answer is 'mixed fraction'.

*your progress details*

Progress

*About you*

Progress

Note that the gray part is shown only as a representation of whole. What is the fraction represented by the colored part in the given figure?

5

5

1;4

one by 4

The answer is " one by 4 ".

What is the fraction represented by the colored part in the given figure?

6

6

2;4

2 by 4

The answer is " 2 by 4 ".

What is the fraction represented by the colored part in the given figure?

6

6

6;4

6 by 4

The answer is " 6 by 4 ".

The picture represents the fraction 6 by 4. The number of parts in the given fraction is greater than the number of parts making a whole.

The picture represents the fraction 6 by 4. The 4 parts of the given fraction is rearranged to make a whole and remaining 2 parts are shown nearby. So, 6 by 4 can be given as 1, 2 by 4.

The picture represents three fractions ;; Fraction given by green parts : 1 by 4 ;; Fraction given by purple parts : 6 by 4 ;; Fraction given by orange parts : 1, 2 by 4 ;; The word "fraction" means "part of a whole". ;; In the three given fractions, only 1 by 4 is strictly part of whole. The value of the fraction is less than 1, which is proper part of whole. Such fractions are called proper fractions.;; The fraction 6 by 4 is greater than 1, and is represented as numerator by denominator. Such fractions are called improper fractions. ;; The fraction 1, 2 by 4 is greater than 1, and is represented as a whole number along with a fraction. Such fractions are called mixed fractions.

What does the word 'proper' mean?

required;correct;type

of the required or correct type

wrong;position

in the wrong position

The answer is 'of the required or correct type'.

What does the word 'improper' mean?

not required;correct;type

not of the required or correct type

wrong;position

in the wrong position

The answer is 'not of the required or correct type'.

What does the word 'mixed' mean?

only;1;its;kind

being only one of its kind

different;quantities;elements

consisting of different quantities or elements

The answer is 'consisting of different quantities or elements'.

What type of fraction is 3 by 7?

proper

The answer is 'proper fraction'.

What type of fraction is 17 by 7?

improper

The answer is 'improper fraction'.

What type of fraction is 2, 3 by 7?

mixed

The answer is 'mixed fraction'.

proper fraction: smaller than a whole and properly a fraction of a whole;; improper fraction: larger than a whole in fraction form;; mixed fraction: larger than a whole given as mix of a whole number and a fraction

Proper Fraction: number of parts in the fraction is less than the number of parts making a whole given as numerator divided by denominator. Proper fractions are less than 1.

Improper Fraction: number of parts in the fraction (numerator) is greater than the number of parts making a whole(denominator) given as numerator by denominator. Improper fractions are greater than 1 given as numerator by denominator.

Mixed Fraction: Specified as number of wholes with a fraction. Mixed fractions are greater than 1 and given as whole number followed by a numerator by denominator.

What type of fraction is 7, 30 by 35?

proper

proper fraction

improper

improper fraction

mixed

mixed fraction

The answer is 'mixed fraction'.