Page 78 - MAT KS3 Y8 Cambridge CheckPoint

7.4 Adding and subtracting fractions

✦ Exercise 7.4

1 Work out these additions and subtractions.
Write each answer in its simplest form.
2
1
3
a 1 + b 3 + 1 c 2 + 5 d 1 + e 3 + f 2 + 4
2 8 5 10 9 18 3 5 4 6 9 11
1
2
1
1
g 7 − h 4 − 7 i 11 − j 8 − k 4 − l 7 − 2
8 4 5 15 12 3 9 2 5 3 8 3
2 Work out these additions and subtractions.
Write each answer in its simplest form.
Write it as a mixed number when appropriate.
5
7
5
a 2 + b 3 + 7 c 5 + 5 d 4 + e 2 + f 8 + 5
3 9 4 12 6 18 5 9 3 7 9 12
1
1
5
2
g 3 − h 7 − 1 i 10 − j 8 − k 5 − l 9 − 8
2 4 5 10 3 6 3 5 4 6 2 3
3 Copy and complete these additions.
+=
1
5
a 4 + 2 c 4 + 2 = 6 d 1 5 + = , = 1 e 61+ = 7
3 7 3 7 21 21 21 21 21 21 21
b 8 4 + 5 9 c 8 + 5 = 13 d 4 + 9 = + = , = = 1 e 13 1+ = 14
15 10 15 10 30 30 30 30 6 6 6 6
4 Copy and complete these subtractions.
3
1
−=
a 4 − 1 c 17 8 d 17 8 − = e = 2
−
4 5 4 5 4 5 20 20 20 20 20
1
b 9 − 3 5 c − 41 d − 41 = − 41 = e == 5
6 12 6 12 6 12 12 12 12 12 4 4
5 Work out these additions and subtractions. Show all the steps in your working.
5
5
5
1
3
5
6
4
a 3 + b 7 + 1 1 c 6 + 3 25 d 2 + e 12 + 4 9 f 6 + 3 4
4 8 5 15 9 36 4 7 8 10 6 5
3
1
2
1 11
5
2
g 2 − 7 h 3 − i 4 1 − 1 j 4 − 1 11 k 5 − 3 l 7 5 − 6 11
5 10 6 18 14 7 3 12 3 4 12 18
6 Zalika has two pieces of fabric.
3
3
One of the pieces is 1 m long. The other is 2 m long.
4 8
a What is the difference in the lengths of the two pieces of fabric? 1 3 4 3
b Zalika lays out the pieces end to end.
What is the total length of fabric?
1
7 Xavier has a length of wood that is 5 m long. 1
4 5 m
3
First of all Xavier cuts a piece of wood 1 m long from the
5
length of wood.
9
Then he cuts a piece of wood 2 10 m long from the piece
3
of wood he has left. 1 m m m
5 1
How long is the piece of wood that Xavier has left over?
76 7 Fractions