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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

The quantity of a good demanded rises from 1000 to 1500 units when the price fallsfrom$1. 50 to$1. 00 per unit. Find the price elasticity of demand?
Rishiraj Reply
what is meant by Regional policy
Itz Reply
what is demand
Tangwe Reply
nice question..
Suman
what is aggregate demand and the equation for Y(GDP)
Davido Reply
what is cost concept
Fatai Reply
is a type of mechanism which makes consumers and individuals understand the price of goods and services
Davido
who is the father of Economics
John Reply
i dont know
Suman
Adam Smith
deep
hi
Zafraan
Adam
Zafraan
smith
Zafraan
Adam Smith
Bevingtone
What is opportunity cost
Bevingtone
is the value of the next best thing you give up when making a decision.
Bongiwe
opportunity cost is a made in order to enjoy something else
Laila
what is cost concept
Fatai
Adam Smith
Md
Adam Smith
Akligo
Adam Smith
Samura
What is demand and supply
Ehwehwe
demand refers to goods and services which consumers are willing and able to buy at a particular period of time and supply refers to the goods and services which consumers are willing and able to offer for sale at a particular period of time
Davido
demand is the quantity of goods and services which a particular customer is willing and able to purchase at that point in time.while supply is a quantity of goods and services which the company is willing and able to render to the customer who purchased it at that point
Israel
Adam Smith
Israel
cost concept. it is used for analyzing the cost of a project in short and long run
Israel
opportunity cost can be seen as a forgone alternative. it can be seen as the loss of other alternatives when one alternative is chosen
Israel
cost is value of imput and output at particular period of time. but we can classify in short run and long run.
Nago
Cost is the aggregated sum accrue in procuring something worthwhile.
KATUNKUS
Adam Smith
Som
Adam Smith
Tandan
Adam smith
Hafiz
what is the formula for elasticity
Umar Reply
perc of qty chg/perc of price chg
Suman
ok
Umar
I need some help regarding economic numericals.
Hassan
Send your problems
Tandan
utility
Oppong
demand or supply equation dy hn OK iska schedule bnana above equation ko dekhty hue kasy bnaye gy
Saba
what is cobweb?
Solomon Reply
A spider's web, especially when old and dusty (The wooden carvings were almost obliterated by cobwebs)
huzaif
what is Economic
Mbarohey Reply
Economic is a social science that study human behavior in relationship with end and scarce means which have alternative uses
Agyenkwa
Economics is an inquiry into nature that causes wealth of nations.
Eric
what are the importance of economic
Mbarohey
it helps us use our limited resources to satisfy our unlimited wants
Daniel
economic is the science of wealth
Joseph
it's helps us to be current on what's going on in the world
Joseph
economics can be defined as the science of wealth
Joseph
what are the advantages of sole proprietorship
Mbarohey
is the study of mankind in the ordinary business
Awini
Economic is science which study human behavior in relation to relatively scarce resources and how they are managed
Akligo
What is the formula for calculating elasticity?
Haruna Reply
(%change in quantity) / (%change in price)
Rahul
thx
lil
.
Tandan
.
Tandan
government spending increase will cause economic grew
Jia Reply
no
Helicia
no because government expenditure is very high the growth of the economy will decrease
Davido
what is trade by batter
Iko Reply
trade involves the transfer of good or services from one person to another, often in exchange for money.
musadique
Now trade by batter :it may define as form of trading in which good are exchange directly for other goods without the use of money as medium of exchange
musadique
is it good to trade with something with a value but given something which has no value
sandra
trade in batter means the exchange of goods and services without using money
Maa
It may be defined as an exchange of goods to satisfy the needs of two parties
Haruna
is the exchange of goods and services for the consumption of human wants
Davido
mention six factors that explain efficiency and productivity of labour
fanelchainz Reply
mention six factors that explain efficiency and productivity of labour
bohvy
factors that explain efficiency of labor are 1.population, 2.technology, 3.education, 4.working environment, 5.incentives (tax holidays) and 6.religious or cultural beliefs.
Solomon
What is demand
SoFIA Reply
is the abulity and willingness of a consumer to purchase goods and services at a particular peeiod of time in a given price
Fadhil
Is goods or service that a consumer is willing and able to purchase at a particular time over a giving period of time
Konja
is the ability and the willingness to buy a goods at a particular period of time in a given price
Prince
please go ahead it's been long time you all are explaining basic topics so now there are many topics left you have to discuss them .
Zahid
what is a central bank
Fadhil Reply
transactionsss with all banks of any country
Economics
A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
Kimberly Reply
Jeannette has $5 and $10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
August Reply
What is the expressiin for seven less than four times the number of nickels
Leonardo Reply
How do i figure this problem out.
how do you translate this in Algebraic Expressions
linda Reply
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
While the American heart association suggests that meditation might be used in conjunction with more traditional treatments as a way to manage hypertension
Beverly Reply
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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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