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Thought-Process to Discover Knowledge

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Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

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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,

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User Guide    

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

Arithmetics with Fractions

Arithmetics with Fractions

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Addition of Fractions


 »  Convert the fractions to like fractions and add numerators
    →  subtraction is inverse of addition
 `color(coral)(3/4) + color(darkgreen)(2/3)`
 `= color(coral)(9/12) + color(darkgreen)(8/12)`
 `= 17/12`

Addition of Fractions

plain and simple summary

nub

plain and simple summary

nub

dummy

Convert the fractions to "like fractions" (having same place value) to add or subtract numerators.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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Addition of two fractions having different place values or denominator is explained.


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Starting on learning "Addition of Fractions". ;; Addition of two fractions having different place values or denominator is explained.

Given two fractions in two colors in the figure. What is the sum of these?addition

  • sum is not `3+2` as the parts are in different sizes
  • the sum is `5` pieces

The answer is 'sum is not `3+2` as the parts are in different sizes'. This means that the place values are different.

Given two fractions `3/8` and `2/8` in the figure, what is the sum?addition like fractions

  • sum is not `3+2` as the parts are in different sizes
  • the sum is `5/8`

The answer is 'the sum is `5/8`'. The fractions have identical place values and so the numerators are added.

Given two fractions `1/4` and `3/8` in the figure, what is the sum?addition unlike like fractions

  • addition is not possible as the parts are different
  • convert them to like fractions to add

The answer is 'converting them to like fractions to add'.

Given two fractions `1/4` and `3/8` in the figure, the fraction `1/4` is converted to equivalent fraction `2/8`. What is the sum of `1/4` and `3/8`?addition unlike like fractions

  • addition is not possible
  • the sum is `5/8`

The answer is 'sum is `5/8`'.

The sum is calculates as `2/8 + 3/8 = 5/8`

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Addition or Subtraction of Fractions: Given `p/q` and `l/m`, to add or subtract, convert the fractions to like fractions with modified place value `(p xx i)/(q xx i)` and `(l xx j)/(m xx j)`. The numerators of the like fractions can be added and result is in the modified place value. `((p xx i) + (l xx j))/(text(LCM)(q,m))`



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

your progress details

Progress

About you

Progress

Given two fractions in two colors in the figure. What is the sum of these?
not;possible;parts
sum is not 3+2 as the parts are in different sizes
5;pieces
the sum is 5 pieces
The answer is 'sum is not 3+2 as the parts are in different sizes'. This means that the place values are different.
Given two fractions 3 by 8 and 2 by 8 in the figure, what is the sum?
not;possible;parts
sum is not 3+2 as the parts are in different sizes
sum;5
the sum is 5/8
The answer is 'the sum is 5/8 '. The fractions have identical place values and so the numerators are added.
Given two fractions 1 by 4 and 3 by 8 in the figure, what is the sum?
addition;not;possible;parts
addition is not possible as the parts are different
5;convert;like
convert them to like fractions to add
The answer is 'converting them to like fractions to add'.
Given two fractions 1 by 4 and 3 by 8 in the figure, the fraction 1 by 4 is converted to equivalent fraction 2 by 8. What is the sum of 1 by 4 and 3 by 8?
addition;not;possible
addition is not possible
sum;5;8
The sum is 5 by 8
The answer is sum is 5 by 8. The sum is calculated as 2 by 8 plus 3 by 8 equals 5 by 8.
Convert the fractions to like fractions (having same place value) to add or subtract numerators.
Addition or Subtraction of Fractions: Given p by q and l by m, to add or subtract, convert the fractions to like fractions with modified place value p times i by q times i, and, l times j by m by j. ;; The numerators of the like fractions can be added and result is in the modified place value. p times i plus l times j by L C M of q and m.

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