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Thought-Process to Discover Knowledge

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nubtrek is designed to explain mathematics and science for young readers. Every topic consists of four sections.

  nub,

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nub is the simple explanation of the concept.

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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

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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`

Equivalent Fractions and Simplest form of a fraction

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.


Keep tapping on the content to continue learning.
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?equivalent fraction 2/4

  • `2/4`
  • `4/2`

The answer is '`2/4`'

What is the fraction represented by the colored portion in the picture?equivalent fraction 1/2

  • `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`equivalent fraction 2 by 4 and 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.simplest form of fractions 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`'.

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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 '.

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