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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.

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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,

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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. continue

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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. continue

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exercise provides practice problems to become fluent in the concepts.

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summary of this topic

Types of fractions

Types of fractions

Voice  

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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`

Proper, Improper, and Mixed fractions

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

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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.


Keep tapping on the content to continue learning.
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? proper fraction 1

  • 5
  • `1/4`

The answer is '`1/4`'.

What is the fraction represented by the colored part in the given figure?proper fraction 2

  • 6
  • `2/4`

The answer is '`2/4`'.

What is the fraction represented by the colored part in the given figure?improper fraction 6/4

  • 6
  • `6/4`

The answer is '`6/4`'.

The picture represents the fraction `6/4`. improper 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`. improper 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` improper fraction 6/4 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'.

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