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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

Comparing Fractions

»  convert the fractions to like fractions and compare the numerators.
→ color(coral)(3/4) ? color(darkgreen)(2/3)
→ color(coral)(3/4 = 9/12) and color(darkgreen)(2/3 = 8/12)
→ color(coral)(9) > color(darkgreen)(8)  rArr  color(coral)(9/12) > color(darkgreen)(8/12)
→ color(coral)(3/4) > color(darkgreen)(2/3)

### Comparing Fractions

plain and simple summary

nub

plain and simple summary

nub

dummy

Two fractions can be compared by numerators after converting them into like fractions.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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Comparing two fractions of different place values or denominators is explained.

Keep tapping on the content to continue learning.
Starting on learning "Comparing Fractions". ;; Comparing two fractions of different place values or denominators is explained.

Given numbers 7 and 3, which number is larger?

• 7
• 3

The answer is '7'

Given numbers 4 and 6, which number is smaller?

• 6
• 4

The answer is '4'

Given numbers 5 and 5, which number is smaller?

• One of them has to be smaller
• The numbers are equal

The answer is 'The numbers are equal'

Given two integers or whole numbers, they can be compared as

•  greater or larger

•  smaller or lesser

•  equal.

Can such comparison be done on two fractions?

Given two fractions 1/8 and 1/12. The figure shows the fractions. 1/8 is shown in brown, and 1/12 is shown in purple color. Which fraction is larger?

• 1/8
• 1/12

The answer is '1/8'. From the picture it is clear that 1/8 is larger.

Given two fractions 3/4 and 5/8. Which fraction is larger?

• comparing numerators 3 and 5, it is clear that 5/8 is larger
• considering the place values are different, the fractions cannot be compared without converting them to like fractions

The answer is 'considering the place values are different, the fractions cannot be compared without converting them to like fractions'.

Given two fractions 3/4 and 5/8. The figure shows the fractions. 3/4 is shown in brown, and 5/8 is shown in purple color. Which of the following helps to compare these two fractions?

• Convert the fractions to like fractions having same place value
• Convert the fractions to the simplest form

The answer is 'Convert the fractions to like fractions having same place value '.

Given two fractions 3/4 and 5/8. The fraction 3/4 is converted to 6/8 to make them like fractions. Both 6/8 and 5/8 have the same place value 1/8 (ie: same denominator 8).

In this form, the numerators can be compared and 6/8 is larger, which means its equivalent fraction 3/4 is larger than 5/8.

Given several fractions, how to find the largest fraction among them?

• Compare the numerators
• compare the denominators
• Convert the fractions to like fractions and compare

The answer is 'Convert the fractions to like fractions and compare'.

What does the word 'ascend' mean?

• to go up or climb
• to write a reason for

The answer is 'to go up or climb'.

What is the order called when fractions are ordered from the smallest to the largest?

What does the word 'descending' mean?

• to move down
• to write a reason for

The answer is 'to move down'.

What is the order called when fractions are ordered from the largest to the smallest?

Given several fractions, how to arrange them in ascending order?

• order them by numerators
• order them by denominators
• Convert the fractions to like fractions and order

The answer is 'Convert the fractions to like fractions and order'.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Comparing fractions: Given two fractions p/q and l/m, convert them to the same place value as (p xx i)/(q xx i) and (l xx j)/(m xx j), where denominators are equal. Then p xx i and l xx j can be compared to one of the following.

•  greater than or larger than

•  smaller than or lesser than

•  equal

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Given 3/4 and 2/3, Which fraction is smaller?

• 3/4
• 2/3

The answer is '2/3'. First, convert them to like fractions

text(LCM)(4,3) = 12

3/4 = 9/12

2/3 = 8/12

Comparing the numerators 9 and 8, it is concluded that 2/3 is smaller.

Progress

Progress

Given numbers 7 and 3 , which number is larger?
7
7
3
3
The answer is ' 7 '
Given numbers 4 and 6 , which number is smaller?
6
6
4
4
The answer is ' 4 '
Given numbers 5 and 5 , which number is smaller?
1;has;smaller;to
One of them has to be smaller
numbers;are;equal
The numbers are equal
The answer is 'The numbers are equal'
Given two integers or whole numbers, they can be compared as ;; greater or larger ;; smaller or lesser ;; equal. ;; Can such comparison be done on two fractions?
Given two fractions 1 by 8 and 1 by 12.;; The figure shows the fractions. 1 by 8 is shown in brown, and 1 by 12 is shown in purple color. Which fraction is larger?
eigth;eight;8
1 by 8
12;twelve
1 by 12
The answer is "1 by 8". From the picture it is clear that 1/8 is larger.
Given two fractions 3/4 and 5/8 . Which fraction is larger?
comparing;larger;clear
comparing numerators 3 and 5 , it is clear that 5/8 is larger
taking;place;value;denominator
considering the place values are different, the fractions cannot be compared without converting them to like fractions
The answer is 'considering the place values are different, the fractions cannot be compared without converting them to like fractions'.
Given two fractions 3 by 4 and 5 by 8. The figure shows the fractions. 3 by 4 is shown in brown and 5 by 8 is shown in purple color. Which of the following helps to compare these two fractions?
like;identical;place;value
Convert the fractions to like fractions having same place value
simplest;form
Convert the fractions to the simplest form
The answer is 'Convert the fractions to like fractions having same place value '.
Given two fractions 3 by 4 and 5 by 8. The fraction 3 by 4 is converted to 6 by 8 to make them like fractions. Both 6 by 8 and 5 by 8 have the same place value 1 by 8. That is same denominator 8. In this form, the numerators can be compared and 6 by 8 is larger. Which means that its equivalent fraction 3 by 4 is larger than 5 by 8.
Two fractions can be compared by numerators after converting them into like fractions.
Comparing fractions: Given two fractions p by q and l by m, convert them to the same place value as, p multiplied i by q multiplied i, and l multiplied j by m multiplied j, where denominators are equal. Then p multiplied i and l multiplied j can be compared to one of the following. ; Greater than or larger than. ; smaller than or lesser than. ; equal.
Given 3 by 4 and 2 by 3, Which fraction is smaller?
4
3 by 4
2
2 by 3
The answer is "2 by 3". First, convert them to like fractions. L C M of 4 and 3 is 12. ;; 3 by 4 = 9 by 12 ;; and 2 by 3 = 8 by 12 ;; Comparing the numerators 9 and 8, it is concluded that 2 by 3 is smaller.
Given several fractions, how to find the largest fraction among them?
numerators;numerator
Compare the numerators
denominators;denominator
compare the denominators
convert;fractions;like
Convert the fractions to like fractions and compare
The answer is 'Convert the fractions to like fractions and compare'.
What does the word 'ascend' mean?
go;up;climb
to go up or climb
write;reason
to write a reason for
The answer is 'to go up or climb'.
What is the order called when fractions are ordered from the smallest to the largest?
ascend;ascending
What does the word 'descending' mean?
move;down
to move down
write;reason
to write a reason for
The answer is 'to move down'.
What is the order called when fractions are ordered from the largest to the smallest?
descend;descending