copy this square exactly and shade in a quarter in as many different ways as you can. you have 5...
TRANSCRIPT
Copy this square exactly and shade in a quarter in as many different ways as you
can. You have 5 minutes
LO: To change between equivalent fractions including improper and mixed numbers (5)To order fractions by using equivalence (6)
What does equivalent
mean?
What does equivalent
mean?
Look at this diagram:
3
4=
6
8
×2
×2
=18
24
×3
×3
Equivalent fractions
Look at this diagram:
2
3=
6
9
×3
×3
=24
36
×4
×4
Equivalent fractions
Look at this diagram:
18
30=
6
10
÷3
÷3
=3
5
÷2
÷2
Equivalent fractions
Equivalent Fractions
* Extension *Write as many fractions as you can that are equivalent to
LO: To change between equivalent fractions including improper and mixed numbers (5)To order fractions by using equivalence (6)
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
9and
512
=24
×2
×2
10so,
38
512
<
Ordering Fractions
For each question, put the fractions in order:
1) Clue: make them all into eighths
LO: To change between equivalent fractions including improper and mixed numbers (5)To order fractions by using equivalence (6)
A fraction that is bigger than 1
But does NOT have a denominator of 22
Show me
A fraction that is bigger than 1
But does NOT have a denominator of 33
Show me
A fraction that is bigger than 2
But does NOT have a denominator of 33
Show me
A fraction that is equivalent to 2 3
Show me
A fraction that is equivalent to 5 8
Show me
LO: To change between improper and mixed numbers (5)
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)
Improper fraction – When the numerator of a fraction is larger than the
denominator
Improper fraction – When the numerator of a fraction is larger than the
denominator
For example,15
4is an improper fraction.
We can write improper fractions as mixed numbers.
15
4can be shown as
15
4= 3
3
4
LO: To change between improper and mixed numbers (5)
Convert to a mixed number.378
378
=88
+ + +88
88
88
+58
581 + 1 + 1 += 1 +
= 4 5
8437 ÷ 8 = 4 remainder 5 37
8= 4 5
84This 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)
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)
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)
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)
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 fractions
LO: To change between improper and mixed numbers (5)
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)
Find the missing number
* WAGOLL *
* WAGOLL *
Convert mixed to improper:
Convert improper to mixed: