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What does equivalent mean?
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Transcript of What does equivalent mean?
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Copy this square exactly and shade in a quarter in as many different ways as you
can. You have 5 minutes
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LO: To change between equivalent fractions including improper and mixed numbers (5)To order fractions by using equivalence (6)
What does equivalent
mean?
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Look at this diagram:
34
= 68
×2
×2
= 1824
×3
×3
Equivalent fractions
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Look at this diagram:
23
= 69
×3
×3
= 2436
×4
×4
Equivalent fractions
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Look at this diagram:
1830
= 610
÷3
÷3
= 35
÷2
÷2
Equivalent fractions
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Equivalent Fractions
* Extension *Write as many fractions as you can that are equivalent to
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LO: To change between equivalent fractions including improper and mixed numbers (5)To order fractions by using equivalence (6)
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Which is bigger or ?38
512
Another way to compare two fractions is to convert them to equivalent fractions.
Step 1: Find the lowest common multiple of 8 and 12.
The lowest common multiple of 8 and 12 is 24.
Now, write and as equivalent fractions over 24. 38
512
38
=24
×3
×3
9 and 512
=24
×2
×2
10 so, 38
512
<
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Ordering FractionsFor each question, put the fractions in order:
1) Clue: make them all into eighths
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LO: To change between equivalent fractions including improper and mixed numbers (5)To order fractions by using equivalence (6)
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A fraction that is bigger than 1
But does NOT have a denominator of 22
Show me
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A fraction that is bigger than 1
But does NOT have a denominator of 33
Show me
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A fraction that is bigger than 2
But does NOT have a denominator of 33
Show me
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A fraction that is equivalent to 2 3
Show me
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A fraction that is equivalent to 5 8
Show me
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LO: To change between improper and mixed numbers (5)
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STARTER - put the fractions in order:
1) Clue: make them all into ninths
2) Clue: make them all into twenty-fourths
LO: To change between improper and mixed numbers (5)
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Improper fraction – When the numerator of a fraction is larger than the
denominator
For example,154
is an improper fraction.
We can write improper fractions as mixed numbers.
154
can be shown as
154
= 3 34
LO: To change between improper and mixed numbers (5)
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Convert to a mixed number.378
378
=88
+ + +88
88
88
+58
581 + 1 + 1 += 1 +
= 4 584
37 ÷ 8 = 4 remainder 5 378
= 4 584
This is the number of times 8 divides into 37.
4
This number is the remainder.
5
LO: To change between improper and mixed numbers (5)
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1a) 5/3 1b) 21/5
1c) 33/5
2a) 11/4
2b) 19/3
2c) 50/6
3a) 10/3
3b) 27/8
3c) 39/4
4a) 9/8
4b) 15/2
4c) 40/12
Convert these improper fractions into mixed numbers:LO: To change between improper and mixed numbers (5)
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Now check your answers…
1a) 12/3 1b) 41/5 1c) 63/5
2a) 23/4
2b) 61/3 2c) 82/3
3a) 31/3 3b) 33/8 3c) 93/4
4a) 11/8
4b) 71/2 4c) 34/12
LO: To change between improper and mixed numbers (5)
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227733
Convert to an improper fraction273
273 =
271 + 1 + 1 +
=77
+ + +77
77
27
=237
To do this in one step,
=
Multiply these numbers together …
… and add this number …
… to get the numerator.237
LO: To change between improper and mixed numbers (5)
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1a) 11/2 1b) 32/3 1c) 52/3
2a) 21/4
2b) 51/4 2c) 23/5
3a) 31/5 3b) 42/5 3c) 63/8
4a) 41/2
4b) 61/3 4c) 42/8
Convert these mixed numbers into improper fractionsLO: To change between improper and mixed numbers (5)
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1a) 3/2 1b) 11/3
2a) 9/4
2b) 21/4
3a) 16/5
3b) 22/5
4a) 9/2
4b) 19/3
1c) 17/3
2c) 13/5
3c) 51/8
4c) 34/8
Now check your answers…
LO: To change between improper and mixed numbers (5)
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Find the missing number
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* WAGOLL *
* WAGOLL *
Convert mixed to improper:
Convert improper to mixed: