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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.

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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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jogger provides the complete mathematical definition of the concepts.

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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. continue

summary of this topic

Types of fractions

Types of fractions

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Classification by place value


 »  Like Fractions
    →  having same denominator or fractions given in the same place value
    →  eg: `1/8` and `3/8`


 »  Unlike Fractions
    →  having different denominators or fractions given in different place values
    →  eg: `1/8` and `1/12`

Like and Unlike fractions

plain and simple summary

nub

plain and simple summary

nub

dummy

Like fractions are fractions in the same place value and so denominators are equal.

Unlike fractions are fractions in different place values and so denominators are not equal.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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Based on the place values (denominators), the fractions are classified as like fractions and unlike fractions.


Keep tapping on the content to continue learning.
Starting on learning "Like and Unlike fractions". ;; Based on the place values (denominators), the fractions are classified as like fractions and unlike fractions.

Which of the following observations are true for the given figure?like unlike fraction

  • The two fractions are equal.
  • The two fractions are not equal

The answer is 'The two fractions are equal.'. The fractions represented in the figure are of the same amount.

Which of the following observations are true for the given figure?like unlike fraction

  • The two fractions are equal.
  • The two fractions are not equal

The answer is 'The two fractions are not equal'. The fractions represented in the figure are of different amounts.

The two fractions are shown with one piece each. Even though the fractions are only one piece each, the amounts are different. Why?like unlike fraction

  • The whole is cut into different sizes
  • The fractions are equal

The answer is 'The whole is cut into different sizes'. The place value of these fractions are different.

The figure shows the two fractions as part of their whole. In the first fraction, the whole is divided into `8` pieces and the fraction represents `1/8` place value. In the second fraction, the whole is divided into `12` pieces and the fraction represents `1/12` place value.like fractions The sizes of single pieces are not equal. That is reflected in the denominator, as the denominator represents the number of parts the whole is divided into or the place value.

The figure shows the two fractions with different place values. like fractions First fraction has the place value of `1/8` and the second has the place value of `1/12`. That is reflected in the denominators of the fractions, as the denominator represents the place value.

Which of the following is a meaning for the word 'like'?

  • a large water body
  • having same characteristics or qualities

The answer is 'having same characteristics or qualities'.

What is the term used to refer two fractions having same denominator?

  • Practice Saying the Answer

The answer is 'like fractions'.

What does the word 'unlike' mean?

  • having different characteristics or qualities
  • to remove water from a lake

The answer is 'having different characteristics or qualities'.

What is the term used to refer two fractions of different denominators?

  • Practice Saying the Answer

The answer is 'unlike fractions'.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Like Fractions: The fractions are given in the same place value and so the denominators are equal.
eg: `2/4` and `3/4`.

Unlike Fractions: The whole is divided into parts of different sizes. The fractions given in different place values and so the denominators are not equal.
eg: `2/3` and `3/5`.



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

What are the fractions `2/4` and `2/5`?

  • like fractions
  • unlike fractions

The answer is 'unlike fractions'.

your progress details

Progress

About you

Progress

Which of the following observations are true for the given figure?
are equal
The two fractions are equal.
not
The two fractions are not equal
The answer is 'The two fractions are equal.'. The fractions represented in the figure are of the same amount.
Which of the following observations are true for the given figure?
are equal
The two fractions are equal.
not
The two fractions are not equal
The answer is 'The two fractions are not equal'. The fractions represented in the figure are of different amounts.
The two fractions are shown with one piece each. Even though the fractions are only one piece each, the amounts are different. Why?
whole;cut;different sizes
The whole is cut into different sizes
fractions;equal
The fractions are equal
The answer is 'The whole is cut into different sizes'. The place value of these fractions are different.
The figure shows the two fractions as part of their whole. In the first fraction, the whole is divided into 8 pieces and the fraction represents 1 by 8 place value. In the second fraction, the whole is divided into 12 pieces and the fraction represents 1 by 12 place value. ;; The sizes of single pieces are not equal. That is reflected in the denominator, as the denominator represents the number of parts the whole is divided into or the place value.
The figure shows the two fractions with different place values. First fraction has the place value of 1 by 8 and the second has the place value of 1 by 12. That is reflected in the denominators of the fraction, as the denominator represents the place value.
Which of the following is a meaning for the word 'like'?
large;water;body
a large water body
having;same;characteristics;qualities
having same characteristics or qualities
The answer is 'having same characteristics or qualities'.
What is the term used to refer two fractions having same denominator?
like
The answer is 'like fractions'.
What does the word 'unlike' mean?
different;characteristics;qualities
having different characteristics or qualities
remove;water;from
to remove water from a lake
The answer is 'having different characteristics or qualities'.
What is the term used to refer two fractions of different denominators?
unlike
The answer is 'unlike fractions'.
Like fractions are fractions in the same place value and so, denominators are equal.;; Unlike fractions are fractions in different place values and so, denominators are not equal.
Like Fractions: The fractions are given in the same place value and so the denominators are equal. For example 2 by 4 and 3 by 4 are like fractions.
Unlike Fractions: The whole is divided into parts of different sizes. The fractions are given in different place values and so the denominators are not equal. for example 2 by 3 and 3 by 5 are unlike fractions.
What are the fractions 2 by 4 and 2 by 5?
like
like fractions
unlike
unlike fractions
The answer is 'unlike fractions'.

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