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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.

Read in the blogs more about the unique learning experience at nubtrek.

User Guide

Welcome to nubtrek.

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.

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,

exercise.

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.

User Guide

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.

User Guide

jogger provides the complete mathematical definition of the concepts.

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.

User Guide

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.

summary of this topic

### Arithmetics with Fractions

Voice

Voice

Home

»  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

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.

Keep tapping on the content to continue learning.
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?

• 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?

• 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 is not possible as the parts are different
• convert 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?

• 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

Progress

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 is not possible as the parts are different
5;convert;like
convert them to like fractions to add