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Mathematics

Common fractions

Educator section

Memorandum

10. 2 3 size 12{ { { size 8{2} } over { size 8{3} } } } {} = 40 60 size 12{ { { size 8{"40"} } over { size 8{"60"} } } } {} ; 3 4 size 12{ { { size 8{3} } over { size 8{4} } } } {} = 45 60 size 12{ { { size 8{"45"} } over { size 8{"60"} } } } {} ; 4 5 size 12{ { { size 8{4} } over { size 8{5} } } } {} = 48 60 size 12{ { { size 8{"48"} } over { size 8{"60"} } } } {}

  • a) 0,5 b) 0,25

c) 0,125 d) 0,75

e) 0,55 f) 0,8

g) 0,625 h) 0,875

i) 0,66 j) 0,36

12.3 (1 ÷ 4) + 3 = 3,25

12.4 0,3333333

  • a) 0,6666666

b) 0,4545454

12.6 a) 0, 6 . size 12{ {6} cSup { size 8{ "." } } } {}

b) 0, 4 . 5 . size 12{ {4} cSup { size 8{ "." } } {5} cSup { size 8{ "." } } } {}

  • a) 0,667

b) 0,455

Leaner section

Content

Activity: fractions [lo 1.9.2, lo 1.10, lo 1.4]

10. BRAIN-TEASER!

In a competition, Abdul’s dolphin jumps 2 3 size 12{ { { size 8{2} } over { size 8{3} } } } {} of a metre out of the water. Fatima’s dolphin jumps 3 4 size 12{ { { size 8{3} } over { size 8{4} } } } {} of a metre out of the water, while Nazir’s dolphin jumps 4 5 size 12{ { { size 8{4} } over { size 8{5} } } } {} of a metre out of the water. Whose dolphin jumps the highest?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

11.1 Did you know?

To convert common fractions to decimal fractions we make

use of equivalent fractions.

e.g.
1 × 2
5 × 2
=
2
10
= 0,2

11. 2 Convert the following fractions to decimal fractions:

a) 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {} ___________________ b) 1 4 size 12{ { { size 8{1} } over { size 8{4} } } } {} ___________________
c) 1 8 size 12{ { { size 8{1} } over { size 8{8} } } } {} ___________________ d) 3 4 size 12{ { { size 8{3} } over { size 8{4} } } } {} ___________________
e) 11 20 size 12{ { { size 8{"11"} } over { size 8{"20"} } } } {} ___________________ f) 4 5 size 12{ { { size 8{4} } over { size 8{5} } } } {} ___________________
g) 5 8 size 12{ { { size 8{5} } over { size 8{8} } } } {} ___________________ h) 7 8 size 12{ { { size 8{7} } over { size 8{8} } } } {} ___________________
i) 33 50 size 12{ { { size 8{"33"} } over { size 8{"50"} } } } {} ___________________ j) 9 25 size 12{ { { size 8{9} } over { size 8{"25"} } } } {} ___________________

12. Do you still remember?

If we want to check the above with a calculator, e.g. , we key in: 7 ÷ 8 =

12.2 Check the exercise above (11.2) with your calculator.

12.3 How would you convert 3 and a quarter to a decimal fraction using your calculator?

_____________________________________________________________________

_____________________________________________________________________

12.4 What will 1 3 size 12{ { { size 8{1} } over { size 8{3} } } } {} look like on a calculator?

Key in 1 ÷ 3 = and write the answer down: __________________________________

Did you know?

We call a fraction like 0,333333333333 a recurring decimal fraction,

and we write it like this: 0, °

12.5

a) What will two thirds ( 2 3 size 12{ { { size 8{2} } over { size 8{3} } } } {} ) look like on the calculator? _____________________________________________________________________

b) What will five elevenths ( 5 11 size 12{ { { size 8{5} } over { size 8{"11"} } } } {} ) look like on the calculator? _____________________________________________________________________

12.6

Write the above now in the short way:

a) __________________________________________________________________

b) __________________________________________________________________

12.7

Round off your answers to 3 decimal places:

a) __________________________________________________________________

b) __________________________________________________________________

13. TIME FOR SELF-ASSESSMENT

  • Colour in the applicable block for each of the following:
I know what rational numbers are 1 2 3
I know an example for a:
proper fraction 1 2 3
improper fraction 1 2 3
mixed number 1 2 3
I know how to form equivalent fractions 1 2 3
I can convert fractions to decimal fractions 1 2 3
I know how to key in fractions on a calculator 1 2 3
I know how to show a recurring decimal 1 2 3

Assessment

Learning Outcome 1: The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.

Assessment Standard 1.9: We know this when the learner uses a range of techniques to perform calculations including:

1.9.2: using a calculator;

1.10: uses a range of strategies to check solutions and judges the reasonableness of solutions;

Assessment Standard 1.4: We know this when the learner recognises and uses equivalent forms of the rational numbers listed above.

Questions & Answers

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
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
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
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
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
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Source:  OpenStax, Mathematics grade 7. OpenStax CNX. Sep 16, 2009 Download for free at http://cnx.org/content/col11075/1.1
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