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Fractions |
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CONTENTS |
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| Mastering fractions |
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Workout |
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54 slides |
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| Mastering fractions |
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Library |
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26 questions |
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Once you have registered, you can work through the slides one by one.
The workout comprises a series of sides that guide you systematically through the topic concept by concept, skill by skill. The slides may be used with or without the support of a tutor. The methodology is based on problem-solving that advances in logical succession by concept and difficulty. The student is presented with a problem or series of questions, and the next slide presents the fully-worked solution. To use the material you must sign-in or create an account.
blacksacademy.net comprises a complete course in mathematics with resources that are comprehensive.
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SAMPLE FROM THE WORKOUT |
| Showing American English version |
SLIDE 1 - QUESTION 1 |
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SLIDE 2 - SOLUTION |
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SAMPLE FROM THE LIBRARY |
| Showing American English version |
QUESTION [difficulty 0.1] |
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SOLUTION |
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DEPENDENCIES |
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CONCEPTS |
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LEV. |
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Addition of fractions with common denominator
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440.3 |
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Equivalent fractions (common denominator)
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440.5 |
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Multiples of fractions with halves
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440.7 |
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Fifths, tenths, twentieths
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441.5 |
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Cancelling down
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442.1 |
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Equivalent fractions
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442.3 |
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Top heavy and mixed fractions
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442.7 |
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Thirds, sixths
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443.1 |
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Twelfths
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443.3 |
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Halves, quarters, eighths, sixteenths
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443.9 |
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Multiplication of fractions and cancelling down
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444.7 |
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Multiplication of mixed fractions
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444.9 |
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Fraction of number to product
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445.1 |
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RAW CONTENT OF THE WORKOUT |
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| What is provided here is the raw text of the workout. Most of the information is contained in the image files, which are not included with this text. The text may appear deceptively short. (The content overall of blacksacademy.net is vast.) Any in-line questions appear as a question mark [?]. This text is provided only as an indication of the overall quantity of material contained in the chapter. To use the material you must sign-in or create an account. |
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SLIDE 1
? I spent one quarter of £320. How much do I have left?
? I drank one fifth of a litre bottle of soda water. What volume of soda water, in millilitres, is left?
? I bought six tubs of chocolate ice cream. I divided each tub into twelve portions. I served 33 portions to my guests. How many portions and what fraction of the original amount of chocolate ice cream remains?
? I spent of my time on holiday sun-bathing. If I was on holiday for two weeks, how many hours of sun-bathing did I manage?
SLIDE 2
? I spent one quarter of £320. How much do I have left?
of £320 left
? I drank one fifth of a litre bottle of soda water. What volume of soda water, in millilitres, is left?
of 1000 mL
mL left
? I bought six tubs of chocolate ice cream. I divided each tub into twelve portions. I served 33 portions to my guests. How many portions and what fraction of the original amount of chocolate ice cream remains?
portions left, = left
? I spent of my time on holiday sun-bathing. If I was on holiday for two weeks, how many hours of sun-bathing did I manage?
hours of holiday time.
hours of sun-bathing.
SLIDE 1B
? I spent one quarter of $320. How much do I have left?
? I drank one fifth of a litre bottle of soda water. What volume of soda water, in millilitres, is left?
? I bought six tubs of chocolate ice cream. I divided each tub into twelve portions. I served 33 portions to my guests. How many portions and what fraction of the original amount of chocolate ice cream remains?
? I spent of my time on holiday sun-bathing. If I was on holiday for two weeks, how many hours of sun-bathing did I manage?
SLIDE 2B
? I spent one quarter of $320. How much do I have left?
? I drank one fifth of a litre bottle of soda water. What volume of soda water, in millilitres, is left?
of 1000 mL
mL left
? I bought six tubs of chocolate ice cream. I divided each tub into twelve portions. I served 33 portions to my guests. How many portions and what fraction of the original amount of chocolate ice cream remains?
portions left, = left
? I spent of my time on holiday sun-bathing. If I was on holiday for two weeks, how many hours of sun-bathing did I manage?
hours of holiday time.
hours of sun-bathing.
SLIDE 3
?
? two apples + three apples = …
? one seventh + four sevenths = …
? + = …
SLIDE 4
?
? two apples + three apples = five apples
? one seventh + four sevenths = five sevenths
? + =
SLIDE 5
=
?
?
?
? =
SLIDE 6
? =
? =
? =
? =
SLIDE 7
……..
……..
……..
SLIDE 8
SLIDE 9
Revision
workout/00001750037.GIF
SLIDE 10
workout/00001750038.GIF
SLIDE 11
? A club voted for a new president. voted for Mr. Black. voted for Ms. Pink. The rest did not vote. There were 1200 votes in all. How many did not vote?
? 1000 people were asked to rate a new film, Monster Machine Comes Back from the Future to Destroy Mankind on a scale of 1 to 5, where 5 = Excellent and 1 = terrible.
Rating Number of people
1 20
2 50
3 120
4 250
5
All 1000 people voted. Complete the table. What fraction of the total did each rating get?
SLIDE 12
? A club voted for a new president. voted for Mr. Black. voted for Ms. Pink. The rest did not vote. There were 1200 votes in all. How many did not vote?
voted, did not vote. of 1200 = 240.
240 did not vote.
? 1000 people were asked to rate a new film, Monster Machine Comes Back from the Future to Destroy Mankind on a scale of 1 to 5, where 5 = Excellent and 1 = terrible.
Rating Number of people
1 20
2 50
3 120
4 250
5 560
SLIDE 13
00001930009
SLIDE 14
00001930010
SLIDE 15
Use the diagram to find
? + ? + +
? - ?
SLIDE 16
? + = ? + + =
? - = ? =
SLIDE 17
workout/00001750043.GIF
SLIDE 18
workout/00001750044.GIF
SLIDE 19
workout/00001750046.GIF
SLIDE 20
workout/00001750047.GIF
SLIDE 21
Cancelling down
Cancel down to the lowest terms
? ? ?
? ? ?
? ? ?
SLIDE 22
? ? ?
? ? ?
? ? ?
SLIDE 23
Equivalent fractions
? ?
? ?
? ?
SLIDE 24
? ?
? ?
? ?
SLIDE 25
? ?
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SLIDE 26
? ?
? ?
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SLIDE 27
Top-heavy fractions to mixed numbers
Convert the following top-heavy fractions to mixed numbers
? ?
? ?
? ?
SLIDE 28
? ?
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? ?
SLIDE 29
Change the mixed numbers to top-heavy fractions
? ?
? ?
? ?
SLIDE 30
? ?
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SLIDE 31
? ?
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? ?
? Use either to complete
? is bigger than by …………….
SLIDE 32
? ?
? ?
? ?
? Use either to complete
? is smaller than by ……….
SLIDE 33
? ?
? ?
? ?
? ? is smaller than by
SLIDE 34
? ?
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? ? is smaller than by
SLIDE 35
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SLIDE 36
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SLIDE 37
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SLIDE 38
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SLIDE 39
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SLIDE 40
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SLIDE 41
Example
Exercise
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SLIDE 42
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SLIDE 43
Example
Exercise
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SLIDE 44
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SLIDE 45
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SLIDE 46
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SLIDE 47
Example
Exercise
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SLIDE 48
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SLIDE 49
Example
Exercise
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SLIDE 50
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SLIDE 51
Example
Exercise
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SLIDE 52
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SLIDE 53
? Find of £4000
? At a camp it takes on average minutes to put up a tent. How many tents can be got ready in 35 minutes?
? of the passengers were travelling executive class; were travelling business class. The rest were travelling economy class. There were 400 passengers in all. What fraction and what number of passengers were travelling economy class?
SLIDE 54
?
? At a camp it takes on average minutes to put up a tent. How many tents can be got ready in 35 minutes?
? of the passengers were travelling executive class; were travelling business class. The rest were travelling economy class. There were 400 passengers in all. What fraction and what number of passengers were travelling economy class?
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