# 3.1 Recognise and classify ordinary fractions

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## 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 $\frac{3}{5}$ ____ $\frac{7}{\text{10}}$

1.2 $\frac{1}{3}$ ____ $\frac{1}{4}$

1.3 $\frac{5}{8}$ ____ $\frac{1}{2}$

1.4 $\frac{1}{7}$ ____ $\frac{1}{5}$

1.5 $\frac{3}{4}$ ____ $\frac{6}{8}$

1.6 $\frac{3}{8}$ ____ $\frac{1}{2}$

1.7 $\frac{3}{4}$ ____ $\frac{9}{\text{12}}$

1.8 $\frac{3}{5}$ ____ $\frac{7}{\text{10}}$

1.9 $\frac{2}{\text{11}}$ ____ $\frac{1}{\text{12}}$

1.10 $\frac{\text{12}}{\text{12}}$ ____ $\frac{9}{9}$

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

2.1 $\frac{1}{2}$ ; $\frac{3}{4}$

2.2 $\frac{2}{3}$ ; $\frac{3}{6}$

2.3 $\frac{3}{5}$ ; $\frac{9}{\text{10}}$

2.4 $\frac{1}{2}$ ; $\frac{2}{6}$

2.5 $\frac{3}{8}$ ; $\frac{1}{2}$

2.6 $\frac{4}{5}$ ; $\frac{4}{\text{10}}$

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 $\frac{3}{5}$ ____ $\frac{7}{\text{15}}$

3.2 $\frac{7}{\text{11}}$ ____ $\frac{\text{13}}{\text{22}}$

3.3 $\frac{5}{9}$ ____ $\frac{\text{15}}{\text{27}}$

3.4 $\frac{5}{6}$ ____ $\frac{\text{20}}{\text{24}}$

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

4.1 $\frac{4}{5}$ ____ $\frac{5}{6}$

4.2 $\frac{2}{3}$ ____ $\frac{4}{5}$

4.3 $\frac{5}{6}$ ____ $\frac{7}{9}$

4.4 $\frac{7}{8}$ ____ $\frac{6}{7}$

## 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:

$\frac{2}{3}$ ; $\frac{1}{2}$ ; $\frac{5}{6}$ ; $\frac{7}{9}$

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. $\frac{\text{18}}{\text{24}}$ 
 6  6
= $\frac{3}{4}$ and $\frac{\text{10}}{\text{15}}$
 5 5
= $\frac{2}{3}$

## 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. $\frac{\text{18}}{\text{27}}$ $\frac{9}{9}$ $\frac{2}{3}$ 1.1 $\frac{\text{40}}{\text{45}}$ .................. .................. 1.2 $\frac{\text{15}}{\text{25}}$ .................. .................. 1.3 $\frac{\text{12}}{\text{16}}$ .................. .................. 1.4 $\frac{\text{24}}{\text{30}}$ .................. .................. 1.5 $\frac{\text{48}}{\text{54}}$ .................. ..................

## 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.

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androi
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Daniella
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Shilan
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Shilan
working
Daniella
how did psychology begin?
of psychologys commencement, the traces can be seen in the work of Aristotle, where he talk about soul and body, likewise work in durrant, de anima, all these were somewhere supporting dualism, in which soul could exist separately from body
amaan
but if you talk about the moder psychology, Gustav fechner, is credited with performing scientific experiments, basis of his experiments in psychology with his studies perception.
amaan
does psychology deal with love?
Maybe, i think
edem
I definitely would say yes
Clara
how so
Isaiah
*triarchic
Meredith
there are so many different reasons why you can fall in love with someone, many of them develope subconsciously -> psychology
Clara
love messes with the brain, a lot, ergo I believe that Psychology does indeed deal with love
what is synapse
In the central nervous system, a synapse is a small gap at the end of a neuron that allows a signal to pass from one neuron to the next. synapse are found where nerve cells connect with other nerve cells
Najeem
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WHT u mean?
usef
yes
MD
heyy, may i join the conversation please?
who is the father of psychology
aristatil
and please, how would you guys, describe the study of psychology at college ?
edem
psychologist student?
Aspen
i mean not yet but am about to start college so wanna know how is it(college in general and psychology course) please
edem
Psychology is the study of mind and behaviour. So if you will take psychology as a subject so you will get to know how your everything (physical, mental, social, spiritual aspects) effects your behaviour
sakina
With this brief knowledge you can help people to cope up with their problems and only you can guide them correctly
sakina
And if you go for further specialisations you can study hypnosis, face reading, body language etc
sakina
Thanks a lot🙏🏾 And ik some of the stuffs u said but i am also going to write thesis, right ?
edem
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edem
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Khan
hae everyone, hope you are well this evning my question is what is the difference between drive and motivation
Michael
good question
Rainee
drive is more like an impulse or urge and i think they both go together (drive and motivation) even if there is a slight difference
edem
@ Michael Drive is delivered to be innate without the use of an external stimuli, motivation normally evolves an outside stimuli which may include praise, appreciate, or reward.
Reginald
*believed...sorry for typo
Reginald
@Reginald, can't the motivation come from the inner self?
edem
Good question, please give an example.
Reginald
can we say desire of success for example
edem
Wilhelm Wundt is the father of psychology
ipau
Wilhem Wundt thank you for the road that you opened.
Qwanta
You mean who is the father of having a great educated argumentative guess? nothing is more wrong than this question. The question is you should ask yourselfs is, how sure are you abour their scientific studying? one's percieved assimilated approach to judging another person and saying they are
Roger
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Roger
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Roger
cognitive development is the growing and development of the brain.
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ipau
what's the big difference between prejudice and discrimination?
A prejudiced person may not act on their attitude.  Therefore, someone can be prejudiced towards a certain group but not discriminate against them.  Also, prejudice includes all three components of an attitude (affective, behavioral and cognitive), whereas discrimination just involves behavior
Nancy Lee
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basher
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Rahul
what is all about cognitive development?
Kamohelo
cognitive development is the growing and development of the brain
Jessy
how do you control a variable when using spss whilst running a pearsons correlation analysis?
it dependa on your study. according to what you want to say and explain your result
Pouran
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stages of cognitive development
sensory preoperatinal concrete formal
Rajendra
what is psychology
the study of insecurities and the effect on the host .
Sera
Psychology is the scientific study of behavior & mental processes
Angela
psychology is science about learning human behaviour
Zhamshid
behaviorosm
Khan
In thinking about the case of Candace described earlier, do you think that Candace benefitted or suffered as a result of consistently being passed on to the next grade?
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