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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 the amount specified

» Equivalent Fractions

→ fractions that specify the same amount with different place values

» Simplest Form

→ fraction that specify the amount in lowest denominator possible

→ eg: Simplest form of `2/4` is `1/2`

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

Fractions that specify the same amount with different place values are equivalent fractions.

The fraction that specifies the same amount with lowest denominator possible is the simplest form of equivalent fractions.

*simple steps to build the foundation*

trek

*simple steps to build the foundation*

trek

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Fractions that specify the same amount with different place values are equivalent fractions. In the set of equivalent fractions, the fractions without a common factor between numerator and denominator is the simplest form.

Starting on learning "Equivalent Fractions and Simplest form of a fraction". ;; In this page, you will learn that Fractions that specify the same amount with different place values are equivalent fractions. In the set of equivalent fractions, the fractions without a common factor between numerator and denominator is the simplest form.

What is the fraction represented by the colored portion in the picture?

- `2/4`
- `4/2`

The answer is '`2/4`'

What is the fraction represented by the colored portion in the picture?

- `1/2`
- `2/1`

The answer is '`1/2`'

The picture shows three parts in three different colors.

• The gray part shows the whole

• The orange part shows the fraction `2/4`

• The purple part shows the fraction `1/2` The fraction `2/4` and `1/2` represent the same amount and the same number.

The numerator and denominator of one fraction is a multiple of numerator and denominator of another fraction respectively. Such fractions are called equivalent fractions.

What does the word 'equivalent' mean?

- enlarge and expand
- equal in value or amount

The answer is 'equal in value or amount'.

What are the fractions `3/4` and `(12)/(16)` called?

- Practice Saying the Answer

The answer is 'equivalent fractions'.

The picture shows four fractions , `1/2`, `2/4`, `3/6`, and `4/8`. These are equivalent fractions.

The fractions `2/4`, `3/6`, and `4/8` have numerator and denominator with common factors `2`, `3` and `4` respectively.

Only the fraction `1/2` has no common factor between numerator and denominator. A fraction without a common factor between the numerator and the denominator is the simplest form of the equivalent fractions.

What does the word 'simplest' mean?

- without complexity; plain and elementary
- not often and remarkable

The answer is 'without complexity; plain and elementary'.

What is the form of fraction that has no common factor between numerator and denominator?

- Practice Saying the Answer

The answer is 'simplest form of a fraction'.

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

**Equivalent Fraction:** Two fractions `p/q` and `l/m` are equivalent if the numerators `l`, `p` and the denominators `m`, `q` have a common factor `a`. That is `l = a xx p` and `m = a xx q`. `a` is an integer. Note that, `l/m` and `p/q` specify the same amount with different place values.

**Simplest Form of a fraction: ** A fraction `p/q` without a common factor between the numerator and the denominator is the simplest form of the equivalent fractions. That is, `p != a xx q` for any integer `a`.

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

Given fractions `1/2`and `2/4`. Which one is the simplest form of the given equivalent fractions?

- The given fractions are not equivalent
- `1/4`
- `1/2`
- `2/4`

The answer is '`1/2`'.

*your progress details*

Progress

*About you*

Progress

What is the fraction represented by the colored portion in the picture?

2 by; by 4

2 by 4

4 by; by 2

4 by 2

The answer is "2 by 4"

What is the fraction represented by the colored portion in the picture?

1 by; by 2

1 by 2

2 by; by 1

2 by 1

The answer is "1 by 2"

The picture shows three parts in three different colors. ;; The gray part shows the whole ;; The orange part shows the fraction 2 by 4 ;; The purple part shows the fraction 1 by 2 ;; The fraction 2 by 4 and 1 by 2 represent the same amount and the same number. ;; The numerator and denominator of one fraction is a multiple of numerator and denominator of another fraction respectively. Such fractions are called equivalent fractions.

What does the word 'equivalent' mean?

enlarge;expand

enlarge and expand

equal;value;amount

equal in value or amount

The answer is 'equal in value or amount'.

what are the fractions 3 by 4 and 12 by 16 called?

equivalent

The answer is 'equivalent fractions'.

The picture shows four fractions , 1 by 2, 2 by 4, 3 by 6, and 4 by 8. These are equivalent fractions. ;; The fractions 2 by 4, 3 by 6, and 4 by 8 have numerator and denominator with common factors 2, 3 and 4 respectively. ;; Only the fraction 1 by 2 has no common factor between numerator and denominator. ;; A fraction without a common factor between the numerator and the denominator is the simplest form, of the equivalent fractions.

What does the word 'simplest' mean?

without;complexity;plain;elementary

without complexity; plain and elementary

not;often;remarkable

not often and remarkable

The answer is 'without complexity; plain and elementary'.

What is the form of fraction that has no common factor between numerator and denominator?

simplest form

The answer is 'simplest form of a fraction'.

Fractions that specify the same amount with different place values are equivalent fractions. The fraction that specifies the same amount with lowest denominator possible is the simplest form, of equivalent fractions.;;

>Equivalent Fraction: Two fractions p by q and l by m are equivalent if the numerators l and p; and the denominators m and q ; have a common factor a. That is l = a times p and m = a times q. a is an integer. ;; Note that l by m , and p by q specify the same amount with different place values.

Simplest form of a fraction: A fraction p by q without a common factor between the numerator and the denominator is the simplest form of, the equivalent fractions. That is p is not equal to a times q for any integer A.

Given fractions 1 by 2 and 2 by 4, which one is the simplest form of the given equivalent fractions?

1

2

3

4

The answer is ' 1/2 '.