Dividing Fractions — Practice
Dividing asks how many of these fit into that, and the answer can be bigger than you started with.
What these questions cover
These questions use 2 ideas from the course. Follow any of them for a definition, where it is taught, and what it leads to.
- Reciprocal — The flip of a fraction. The reciprocal of 35 is 53.
- Divisor — The polynomial you are dividing by.
Problem 1
Work out 12 ÷ 14.
Worked answer
2
12 × 41 = 42 = 2
Problem 2
Work out 3 ÷ 14.
Worked answer
12
3 × 4 = 12
Problem 3
Give the reciprocal of 35.
Worked answer
5/3
53
Problem 4
Give the reciprocal of 4.
Worked answer
1/4
W
r
i
t
e
4
a
s
\
d
f
r
a
c
4
1
f
i
r
s
t
.
Problem 5
Work out 23 ÷ 2.
Worked answer
1/3
23 × 12 = 26 = 13
Problem 6
Work out 34 ÷ 12.
Worked answer
3/2
F
l
i
p
t
h
e
s
e
c
o
n
d
a
n
d
m
u
l
t
i
p
l
y
.
Problem 7
Work out 56 ÷ 23.
Worked answer
5/4
O
n
l
y
t
h
e
d
i
v
i
s
o
r
f
l
i
p
s
.
Problem 8
Work out 212 ÷ 34.
Worked answer
10/3
C
o
n
v
e
r
t
t
h
e
m
i
x
e
d
n
u
m
b
e
r
f
i
r
s
t
.
Problem 9
How many 34-metre ribbons can be cut from 6 metres?
Worked answer
8
6 × 43 = 8
Problem 10
How many 13-cup scoops fill 4 cups?
Worked answer
12
4 × 3 = 12
Problem 11
Dividing by a fraction smaller than 1 gives an answer that is
- bigger than you started with
- smaller
- the same
- always a whole number
Worked answer
bigger than you started with
3 ÷ 14 = 12
Problem 12
Work out 313 ÷ 112.
Worked answer
20/9
C
o
n
v
e
r
t
b
o
t
h
t
o
i
m
p
r
o
p
e
r
f
r
a
c
t
i
o
n
s
.
Problem 13
A 78-litre bottle is shared into 18-litre glasses. How many glasses?
Worked answer
7
78 × 8 = 7
Problem 14
A board 92 feet long is cut into 34-foot pieces. How many pieces?
Worked answer
6
92 × 43 = 366 = 6
Problem 15
Work out 47 ÷ 27.
Worked answer
2
47 × 72 = 2814 = 2
Problem 16
A recipe needs 23 cup of sugar. How many full batches from 4 cups?
Worked answer
6
4 ÷ 23 = 4 × 32 = 6