Unit 7:
Fractions
Class : G7
Semester :2
AL Madar private
school Teacher: Najiba Aouini
Content
We have 8 sections to work through and there are check up audits and
fitness tests for each section from where students will be able to work
with :
1. Equivalent fractions decimals and percentages
2. Converting fractions to decimals .
3. Ordering fractions
4. Adding and subtracting fractions
5. Fractions of a quantity .
6. Multiplying and dividing fractions .
7. End of unit review .
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school
Unit7/G8 1.Equivalent fractions decimals and percentages
Section1 𝟏
Ashley ate of the pizza.
𝟐
How could we describe this as…
a Fraction a Decimal a Percentage
(parts of the whole) (how many tenths) (parts out of 100)
5
5
5 5
𝟏
𝟎. 𝟓 𝟓𝟎%
𝟐
Fractions, Decimals and Percentages are different ways of
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expressing the quantity of a whole.
school
Why do we want different types of the same number?
Unit7/G8 1.Equivalent fractions decimals and percentages
Section1
Percentage
15%
% means
‘parts out of 100’
Write as decimal
Fraction hundredths Decimal
Simplify
3 15 0.15
20 100
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school
Unit7/G8 2. Converting fractions to decimals
Section1
New vocabulary :
1. Terminating decimals : when it comes to an end , example 6/25= 0.24.
2. Recurring decimals: when the decimal is repeating forever. Example
10/3=3.333333333,
Example 1 : course book page 73 Q7.2
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school
Unit7/G8 3.Ordering decimals
Section3
To remember :
One way to order fractions is to write the equivalent fractions with the same
denominator ,or as decimal number.
Example 1 : course book page 74 Q7.3
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school
Unit7/G8 4. Adding and subtracting fractions
Section4
To remember :
One way to add or subtract fractions is when the denominators are the same .
Proper fraction : when the numerator is smaller than the denominator.
Improper fraction : is when the numerator is bigger than the denominator , and it
can be written as mixed number which contains a whole number part and a
fractional number part .
4.1 adding/ subtracting proper fractions
Example 1 : course book page 76 Q7.4
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school
Unit7/G8 4. Adding and subtracting fractions
Section4
4.2 adding/ subtracting mixed numbers
When you add mixed numbers, follow these steps.
1. Add the whole-number parts.
2. Add the fractional parts and cancel the answer to its simplest form. If this
answer is an improper fraction, write it as a mixed number.
3. Add the 2 parts together to get the answer.
When you subtract mixed numbers, follow these steps.
1. Change both mixed numbers into improper fractions.
2. Subtract the improper fractions and cancel this answer to its simplest form.
3. If the answer is an improper fraction, change it back to a mixed number.
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school
Unit7/G8 4. Adding and subtracting fractions
Section4
Example 1 : course book page 76 Q 5
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school
Unit7/G8 5. Fractions of quantity
Section5
To work out a fraction of a quantity, divide the quantity by the denominator of
the fraction, then multiply your answer by the numerator.
Example 1 : course book page 77Q 7.5,1
Work these out mentally.
3
a. of $12
4
2
b. of 10 m
5
4
c. of 21 kg
7
5
d. of 40 cm
8
6
e. of 33 ml
11
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school
Unit7/G8 6. Multiplying and dividing fractions
Section6
To be known :
1. When you multiply fractions, multiply the numerators together and multiply
the denominators together.
2. When you divide fractions, start by turning the second fraction upside
down, then multiply the fractions as usual.
Example 1; Q7.8 course book page 80
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school
Course book END OF UNIT REVIEW
page 82
AL Madar private
school
Course book END OF UNIT REVIEW
page 82
AL Madar private
school
AL Madar private
school
