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Step 2: carry on dividing until a pattern becomes visible - the pattern will be indicated by the recurring numbers.

Now try the following:

5.1 7 9 size 12{ { { size 8{7} } over { size 8{9} } } } {}

5.2 5 5 6 size 12{ - 5 { { size 8{5} } over { size 8{6} } } } {}

5.3 3 13 99 size 12{3 { { size 8{"13"} } over { size 8{"99"} } } } {}

6. What is noticeable about fractions that are recurring decimal numbers (with regard to the denominator)?

7. Now, before we provide the steps for reducing a recurring decimal number to a common fraction, see if you are able to write the following as fractions by making use of the information from no. 6.

8. The following provides complete steps for reducing a recurring decimal number to a common fraction:

Suggestion : Multiply by 10 (if you have one recurring figure). Multiply by 100 (if there are 2 recurring figures), etc.

9. Now try to do no. 7.2 in the way that is discussed in no. 8.

Activity 3

Reducing percentages to fractions and vice versa

[lo 1.2.2, 1.2.6, 1.6.1, 1.9.1]

1. What is the meaning of % (percentage)? .....................................................................

2. If you have to reduce any fraction to a percentage, you have to reduce the denominator to 100.

  • If this is not possible, you have to x
    (This principle can be applied in any situation, e.g. when you want to reduce a test that is marked out of 15 to a mark out of 50, you need to multiply by 50 1 size 12{ { { size 8{"50"} } over { size 8{1} } } } {} )

Reduce the following mathematics test marks from a grade 8 class to percentages (to one decimal figure, where necessary):

2.1 17 20 size 12{ { { size 8{"17"} } over { size 8{"20"} } } } {} .......................................

2.2 19 40 size 12{ { { size 8{"19"} } over { size 8{"40"} } } } {} .......................................

2.3 38 50 size 12{ { { size 8{"38"} } over { size 8{"50"} } } } {} .......................................

2.4 45 60 size 12{ { { size 8{"45"} } over { size 8{"60"} } } } {} .......................................

3. Reduce each of the following percentages to a common fraction (or a mixed number):

3.1 55 % .......................................

3.2 15,5% .......................................

3.3 16 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {} % .......................................

3.4 6 2 3 size 12{6 { { size 8{2} } over { size 8{3} } } } {} % .......................................

4. Each South African citizen should have access to some means of transport.

Bolokanang has a community of 25 500 people. Study the accompanying table indicating the number of people that use the given means of transport and answer the questions that follow.

Vehicle Number of users
Bicycle 4 1 8 size 12{4 { { size 8{1} } over { size 8{8} } } } {} %
Car 3 5 size 12{ { { size 8{3} } over { size 8{5} } } } {}
Motorbike 0,085

4.1 Indicate how many inhabitants make use of:

a) a bicycle

b) a car

c) a motorbike

4.2 Express the number of inhabitants that use a car as a fraction of those who travel by bicycle.

4.3 Which percentage of the inhabitants has no vehicle?

4.4 Which other means of transport do farm labourers use to get to the nearest town?

4.5 If the number of job opportunities in rural areas should increase, the fraction of citizens who use cars for transport will double. What fraction of the community will be using cars for transport under such conditions?

Activity 4

Adding and subtracting rational numbers (fractions)

[lo 1.2.2, 1.2.5, 1.2.6, 1.6.2, 1.7.1, 1.7.2, 1.9.1]

1. Reduce each of the following compound numbers to improper fractions.This is very important in addition, subtraction, multiplication and division of fractions.

1.1 5 4 7 size 12{ { { size 8{4} } over { size 8{7} } } } {} ................................ 1.2 7 7 9 size 12{ { { size 8{7} } over { size 8{9} } } } {} ................................

Questions & Answers

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
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
Introduction about quantum dots in nanotechnology
Praveena Reply
hi
Loga
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Mathematics grade 8. OpenStax CNX. Sep 11, 2009 Download for free at http://cnx.org/content/col11034/1.1
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