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© T Madas
© T Madas
3 2?
4 4+ =
54
+ =
5 2?
7 7- =
37
© T Madas
9 5 4?
16 16 16+ + =
1816
=98
+ +
© T Madas
9 3 7?
20 20 20+ - =
520
=14
© T Madas
© T Madas
3 34 8
- =68
38
Now the denominators are different
1 26 3
+ =16
56
x2
x2
x2
x2
38
- =
46
+ =
© T Madas
Now the denominators are different
3 54 12
- =9
1213
1 320 5
+ =120
1320
x3
x3
x4
x4
512
- =
1220
+ =
412
=
© T Madas
© T Madas
3 5?
4 6+ =
4:
6:
4, 8, 12, 16, 20, 24, …
6, 12, 18, 24, 30, …
12 12+ =
9 10
1912
Now the denominators are different
Find the LCM of the denominators
x3
x3
x2
x2
© T Madas
5 7?
8 12+ =
8:
12:
8, 16, 24, 32, 40, …
12, 24, 36, …
24 24+ =
15
14
2924
Now the denominators are different
Find the LCM of the denominators
x3
x3
x2
x2
© T Madas
4 3?
5 8+ =
5:
8:
5, 10, 15, 20, 25, 30, 35, 40, …8, 16, 24, 32, 40, …
40 40+ =
32
15
4740
Now the denominators are different
Find the LCM of the denominators
x8
x8
x5
x5
© T Madas
5 7?
12 18- =
12:
18:
12, 24, 36, 48, 60, …
18, 36, 54, 72, 90, …
36 36- =
15
14
136
Now the denominators are different
Find the LCM of the denominators
x3
x3
x2
x2
© T Madas
© T Madas
12 12= + =
How do we add/subtract mixed numbers?
2 31 2
3 4+ = 3
12 12+ + =
98
54
12
Method 1
1 2+23
+34
+ =x4
x4
x3
x3
173
12= + =
Method 2
2 31 2
3 4+ =
53
114
+x4
x4
x3
x333
20
54
12
5312
=
© T Madas
12 12= - =
How do we add/subtract mixed numbers?
5 32 1
6 4- = 1
12 12+ - =
910
11
12
Method 1
2 1-56
+34
- =x2
x2
x3
x3
Method 2
5 32 1
6 4- =
176
74
-x2
x2
x3
x321
34
11
12
1312
=
© T Madas
7 7= - =
How do we add/subtract mixed numbers?
43 1
7- =
31
117
-x7
x711
21
31
7
107
=113
7- =
24 24= + =
5 13 2
6 8+ =
236
178
+x4
x4
x3
x351
92
235
24
14324
=
© T Madas
PracticeAdding & SubtractingFractions
© T Madas
1 3
8 8+ =
4
81
2=
9 4
13 13- =
5
131 10 3
7 7 7+ + =
14
72=
17 11 1
24 24 24- + =
7
24
1 3
10 10+ =
4
102
5=
9 8
10 10- =
1
102 9 4
5 5 5+ + =
15
53=
17 12 1
25 25 25- + =
6
25
© T Madas
+ =1 1
2 4
2
4=
3
4+
1
4
+ =1 1
8 4
1
8=
3
8+
2
8
- =2 3
5 10
4
10=
1
10-
3
10
+ =5 1
6 1210
12=
11
12+
1
12
- =2 1
3 6
4
6=
3
6-
1
6
- =5 9
7 14
10
14=
1
14-
9
14
+ =2 1
5 15
6
15=
7
15+
1
15
- =5 7
6 1815
18=
8
18-
7
18
=1
2
=4
9
© T Madas
+ =1 3
2 8
4
8=
7
8+
3
8
- =5 1
9 3
5
9=
2
9-
3
9
- =7 3
10 20
14
20=
11
20-
3
20
+ =1 7
3 124
12=
11
12+
7
12
- =1 1
2 6
3
6=
2
6-
1
6
- =1 3
2 16
8
16=
5
16-
3
16
+ =3 1
5 20
12
20=
13
20+
1
20
- =5 7
6 3025
30=
18
30-
7
30
=1
3
=3
5
© T Madas
Quick TestonAdding & SubtractingFractions
© T Madas
1 3
8 8+ =
4
81
2=
9 4
13 13- =
5
131 10 3
7 7 7+ + =
14
72=
17 11 1
24 24 24- + =
7
24
1 3
10 10+ =
4
102
5=
9 8
10 10- =
1
102 9 4
5 5 5+ + =
15
53=
17 12 1
25 25 25- + =
6
25
© T Madas
+ =1 1
2 4
2
4=
3
4+
1
4
+ =1 1
8 4
1
8=
3
8+
2
8
- =2 3
5 10
4
10=
1
10-
3
10
+ =5 1
6 1210
12=
11
12+
1
12
- =2 1
3 6
4
6=
3
6-
1
6
- =5 9
7 14
10
14=
1
14-
9
14
+ =2 1
5 15
6
15=
7
15+
1
15
- =5 7
6 1815
18=
8
18-
7
18
=1
2
=4
9
© T Madas
+ =1 3
2 8
4
8=
7
8+
3
8
- =5 1
9 3
5
9=
2
9-
3
9
- =7 3
10 20
14
20=
11
20-
3
20
+ =1 7
3 124
12=
11
12+
7
12
- =1 1
2 6
3
6=
2
6-
1
6
- =1 3
2 16
8
16=
5
16-
3
16
+ =3 1
5 20
12
20=
13
20+
1
20
- =5 7
6 3025
30=
18
30-
7
30
=1
3
=3
5
© T Madas
© T Madas
Three adverts appear on a page of a newspaper.
The 1st advert covers 1/4 of the page.
The 2nd advert covers 1/8 of the page.
The 3rd advert covers 3/16 of the page.
What fraction of the page is not covered by adverts?14
18+ +
316 =
x 2
x 2
x 4
x 4
416
216+ +
316= 9
16
If is covered by adverts
then is not covered by adverts.
916
716
© T Madas
© T Madas
A rectangle is 6⅝ cm long by 3½ cm wide.Calculate its perimeter.
6⅝ cm
3½
cm to find the
perimeter:586 1
23+ 586 1
23++ =
Method 1
5819+ 5
8+ =
10819+ =5419+ =
÷ 2
÷ 2
1419+ =1
1420 cm
© T Madas
A rectangle is 6⅝ cm long by 3½ cm wide.Calculate its perimeter.
6⅝ cm
3½
cm to find the
perimeter:586 1
23+ 586 1
23++ =
Method 2
538
72+ 53
872++ =
1068
142+
x 4
x 4=
1068
568+ =
1628 =
2820
1420 cm
=
© T Madas
© T Madas
Edmonton is 3⅝ miles away from Southgate.Barnet is 2¾ miles away from Southgate.How much further from Southgate is Edmonton than Barnet?
583 3
42– = 298
114– = 29
8228– = 7
8
x 2
x 2
Edmonton is ⅞ of a mile further from Southgate than Barnet is.
© T Madas
© T Madas
Roulla used half of her exercise book in the autumn term.So far this term she has used a further one sixth of it.
1. What fraction of her exercise book has she used so far?2. How many pages does her exercise book have if she has 30 pages left?
12
16+
x 3
x 3= 3
616+ = 4
6 = 23
÷ 2
÷ 2
If she has used of her exercise book
she must have of it left.
If of her exercise book is 30 pages
then the entire exercise book must have 90 pages
23
13
13
© T Madas
© T Madas
Johnny spent his monthly allowance as follows:
of it on lunch and food snacks
of it on two music CDs
of it on a new book
1. What fraction of his monthly allowance has he got left?2. If he is left with £6 what is his monthly allowance?
251316
25
13+ +
16 =
x 10
x 10
x 6
x 6
x 5
x 5
1230
1030+ +
530= 27
30 = 910
÷ 3
÷ 3
Johnny has spent of his monthly allowance
so he must have of his monthly allowance left.
If of his monthly allowance is £6
then his monthly allowance must be £60
910
110
110
© T Madas
