Dividing Fractions — Drills
Dividing Fractions has 5 drill skills. Each one generates fresh questions every time, with a hint and full worked steps, so you can keep practising a single skill until it settles.
What these drills 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.
Dividing
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Work out 16 ÷ 35.
Worked answer
5/18
16 × 53 = 518
which simplifies to 5/18
Problem 2
Work out 35 ÷ 14.
Worked answer
12/5
35 × 41 = 125
which simplifies to 12/5
Whole
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Work out 6 ÷ 16.
Worked answer
36
6 × 6 = 36
Bigger than you started with, as dividing by a small piece must be
Problem 2
Work out 8 ÷ 15.
Worked answer
40
8 × 5 = 40
Bigger than you started with, as dividing by a small piece must be
Reciprocal
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Give the reciprocal of 85.
Worked answer
5/8
58
Problem 2
Give the reciprocal of 24.
Worked answer
4/2
42
Word problems
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
How many 18-cup scoops fill 7 cups?
Worked answer
56
7 × 8 = 56
Problem 2
How many 12-cup scoops fill 6 cups?
Worked answer
12
6 × 2 = 12
Mixed
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Work out 334 ÷ 13.
Worked answer
45/4
334 = 154
154 × 31 = 45/4
Problem 2
Work out 423 ÷ 34.
Worked answer
56/9
423 = 143
143 × 43 = 56/9