Grade 8 · Math
Read a conditional fraction in a two-way table
Choose the correct subgroup denominator when interpreting a two-way table.
6 authored questions + worked example

Worked example
A two-way table records travel and hats.
Walk: 18 with a hat, 12 without a hat.
Bus: 8 with a hat, 12 without a hat.
Among the students who walk, what fraction wear a hat?
Answer & why
Answer: 35
The condition selects walkers only: 30 students. Of them, 18 wear hats, so the fraction is 1830 = 3/5.
Add to plan ↗All questions
All 6 authored questions for this skill.
Question 1
A two-way table records travel and hats.
Walk: 9 with a hat, 6 without a hat.
Bus: 3 with a hat, 12 without a hat.
Among the students who walk, what fraction wear a hat?
- 34
- 35
- 25
- 310
A hint
Restrict the denominator to the group after “among”; do not use the whole table.
Answer & why
Answer: 35
The condition selects walkers only: 15 students. Of them, 9 wear hats, so the fraction is 915 = 3/5.
Add to plan ↗Question 2
A two-way table records travel and hats.
Walk: 14 with a hat, 6 without a hat.
Bus: 10 with a hat, 10 without a hat.
Among the students who walk, what fraction wear a hat?
- 712
- 720
- 710
- 310
A hint
Restrict the denominator to the group after “among”; do not use the whole table.
Answer & why
Answer: 710
The condition selects walkers only: 20 students. Of them, 14 wear hats, so the fraction is 1420 = 7/10.
Add to plan ↗Question 3
A two-way table records travel and hats.
Walk: 8 with a hat, 12 without a hat.
Bus: 4 with a hat, 16 without a hat.
Among the students who walk, what fraction wear a hat?
- 15
- 23
- 35
- 25
A hint
Restrict the denominator to the group after “among”; do not use the whole table.
Answer & why
Answer: 25
The condition selects walkers only: 20 students. Of them, 8 wear hats, so the fraction is 820 = 2/5.
Add to plan ↗Question 4
A two-way table records travel and hats.
Walk: 15 with a hat, 10 without a hat.
Bus: 5 with a hat, 20 without a hat.
Among the students who walk, what fraction wear a hat?
- 25
- 310
- 34
- 35
A hint
Restrict the denominator to the group after “among”; do not use the whole table.
Answer & why
Answer: 35
The condition selects walkers only: 25 students. Of them, 15 wear hats, so the fraction is 1525 = 3/5.
Add to plan ↗Question 5
A two-way table records travel and hats.
Walk: 18 with a hat, 12 without a hat.
Bus: 8 with a hat, 12 without a hat.
Among the students who walk, what fraction wear a hat?
- 925
- 35
- 913
- 25
A hint
Restrict the denominator to the group after “among”; do not use the whole table.
Answer & why
Answer: 35
The condition selects walkers only: 30 students. Of them, 18 wear hats, so the fraction is 1830 = 3/5.
Add to plan ↗Question 6
A two-way table records travel and hats.
Walk: 12 with a hat, 8 without a hat.
Bus: 6 with a hat, 14 without a hat.
Among the students who walk, what fraction wear a hat?
- 23
- 310
- 25
- 35
A hint
Restrict the denominator to the group after “among”; do not use the whole table.
Answer & why
Answer: 35
The condition selects walkers only: 20 students. Of them, 12 wear hats, so the fraction is 1220 = 3/5.
Add to plan ↗