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Mathematics

Grade 5

Ordinary and decimal fractions

Module 46

Recognise and classify ordinary fractions

Activity 1:

To recognise and classify ordinary fractions in order to compare them [lo 1.3.2]

RELATIONSHIP SIGNS (<;>; =)

1. Compare the following fractions and then fill in<,>or =.

1.1 3 5 size 12{ { { size 8{3} } over { size 8{5} } } } {} ____ 7 10 size 12{ { { size 8{7} } over { size 8{"10"} } } } {}

1.2 1 3 size 12{ { { size 8{1} } over { size 8{3} } } } {} ____ 1 4 size 12{ { { size 8{1} } over { size 8{4} } } } {}

1.3 5 8 size 12{ { { size 8{5} } over { size 8{8} } } } {} ____ 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {}

1.4 1 7 size 12{ { { size 8{1} } over { size 8{7} } } } {} ____ 1 5 size 12{ { { size 8{1} } over { size 8{5} } } } {}

1.5 3 4 size 12{ { { size 8{3} } over { size 8{4} } } } {} ____ 6 8 size 12{ { { size 8{6} } over { size 8{8} } } } {}

1.6 3 8 size 12{ { { size 8{3} } over { size 8{8} } } } {} ____ 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {}

1.7 3 4 size 12{ { { size 8{3} } over { size 8{4} } } } {} ____ 9 12 size 12{ { { size 8{9} } over { size 8{"12"} } } } {}

1.8 3 5 size 12{ { { size 8{3} } over { size 8{5} } } } {} ____ 7 10 size 12{ { { size 8{7} } over { size 8{"10"} } } } {}

1.9 2 11 size 12{ { { size 8{2} } over { size 8{"11"} } } } {} ____ 1 12 size 12{ { { size 8{1} } over { size 8{"12"} } } } {}

1.10 12 12 size 12{ { { size 8{"12"} } over { size 8{"12"} } } } {} ____ 9 9 size 12{ { { size 8{9} } over { size 8{9} } } } {}

2. Compare the following fractions and draw a circle around the one that is the greatest in each of the following:

2.1 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {} ; 3 4 size 12{ { { size 8{3} } over { size 8{4} } } } {}

2.2 2 3 size 12{ { { size 8{2} } over { size 8{3} } } } {} ; 3 6 size 12{ { { size 8{3} } over { size 8{6} } } } {}

2.3 3 5 size 12{ { { size 8{3} } over { size 8{5} } } } {} ; 9 10 size 12{ { { size 8{9} } over { size 8{"10"} } } } {}

2.4 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {} ; 2 6 size 12{ { { size 8{2} } over { size 8{6} } } } {}

2.5 3 8 size 12{ { { size 8{3} } over { size 8{8} } } } {} ; 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {}

2.6 4 5 size 12{ { { size 8{4} } over { size 8{5} } } } {} ; 4 10 size 12{ { { size 8{4} } over { size 8{"10"} } } } {}

Class discussion

HOW can we determine the answers for no. 1 and if we don’t have a diagram to help us?

3. In the following activity you will see how important your knowledge of equivalent fractions is. Once you have mastered it, you will find that it is child’s play to compare the fractions with each other.

Use the rule as determined during your class discussion and fill in<,>or =.

3.1 3 5 size 12{ { { size 8{3} } over { size 8{5} } } } {} ____ 7 15 size 12{ { { size 8{7} } over { size 8{"15"} } } } {}

3.2 7 11 size 12{ { { size 8{7} } over { size 8{"11"} } } } {} ____ 13 22 size 12{ { { size 8{"13"} } over { size 8{"22"} } } } {}

3.3 5 9 size 12{ { { size 8{5} } over { size 8{9} } } } {} ____ 15 27 size 12{ { { size 8{"15"} } over { size 8{"27"} } } } {}

3.4 5 6 size 12{ { { size 8{5} } over { size 8{6} } } } {} ____ 20 24 size 12{ { { size 8{"20"} } over { size 8{"24"} } } } {}

4. Now use your knowledge and fill in<,>or =.

4.1 4 5 size 12{ { { size 8{4} } over { size 8{5} } } } {} ____ 5 6 size 12{ { { size 8{5} } over { size 8{6} } } } {}

4.2 2 3 size 12{ { { size 8{2} } over { size 8{3} } } } {} ____ 4 5 size 12{ { { size 8{4} } over { size 8{5} } } } {}

4.3 5 6 size 12{ { { size 8{5} } over { size 8{6} } } } {} ____ 7 9 size 12{ { { size 8{7} } over { size 8{9} } } } {}

4.4 7 8 size 12{ { { size 8{7} } over { size 8{8} } } } {} ____ 6 7 size 12{ { { size 8{6} } over { size 8{7} } } } {}

To calculate by selecting and using operations [lo 1.8.3]

1. Split up into groups of three. See if you know how to solve the problems.

1.1 Gizelle and her twin brother, Donovan, receive pocket money every month. Gizelle saves two sixths of her pocket money. Donovan saves four ninths of his. Who saves most if they get the same amount of pocket money?

1.2 Mom likes making pancakes. She gives Jake and his friends three quarters to eat. Then Mom makes the same number of pancakes. She sends four fifths of the pancakes to school for Dimitri and his friends to enjoy. Who got the most pancakes from Mom?

1.3 Vusi and Sipho wrote the same test. Vusi answered four sevenths of the questions correctly. Sipho had five eighths right. Who did better in the test?

1.4 Two identical taxis transport passengers between Johannesburg and Pretoria. The one taxi is two thirds full, while the other one is three quarters full. Which taxi transports the most passengers?

Another BRAIN-TEASER!

Arrange the following fractions from biggest to smallest:

2 3 size 12{ { { size 8{2} } over { size 8{3} } } } {} ; 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {} ; 5 6 size 12{ { { size 8{5} } over { size 8{6} } } } {} ; 7 9 size 12{ { { size 8{7} } over { size 8{9} } } } {}

SIMPLIFYING

Did you know?

In order to write a fraction in its simplest form we divide the numerator and denominator by the same number. The value of the fraction does not change because we are actually dividing the fraction by 1.

E.g. 18 24 size 12{ { {"18"} over {"24"} } } {}
6
 6
= 3 4 size 12{ { {3} over {4} } } {} and 10 15 size 12{ { {"10"} over {"15"} } } {}
5
5
= 2 3 size 12{ { {2} over {3} } } {}

Activity 3:

To simplify common fractions [lo 1.3.2]

1. Now that you know how to simplify a fraction, see whether you can complete the following table:

Fraction ÷ by Simplified
E.g. 18 27 size 12{ { { size 8{"18"} } over { size 8{"27"} } } } {} 9 9 size 12{ { { size 8{9} } over { size 8{9} } } } {} 2 3 size 12{ { { size 8{2} } over { size 8{3} } } } {}
1.1 40 45 size 12{ { { size 8{"40"} } over { size 8{"45"} } } } {} .................. ..................
1.2 15 25 size 12{ { { size 8{"15"} } over { size 8{"25"} } } } {} .................. ..................
1.3 12 16 size 12{ { { size 8{"12"} } over { size 8{"16"} } } } {} .................. ..................
1.4 24 30 size 12{ { { size 8{"24"} } over { size 8{"30"} } } } {} .................. ..................
1.5 48 54 size 12{ { { size 8{"48"} } over { size 8{"54"} } } } {} .................. ..................

Activity 4:

To use a series of techniques to do calculations [lo 1.10.3]

1. In the previous modules you often rounded off whole numbers. Now we are going to round off mixed numbers to the nearest whole number. Connect the number in column A to the correct answer in column B.

Questions & Answers

where we get a research paper on Nano chemistry....?
Maira Reply
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
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Source:  OpenStax, Mathematics grade 5. OpenStax CNX. Sep 23, 2009 Download for free at http://cnx.org/content/col10994/1.3
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