Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 Which is larger: 1/2 or 1/3?
Show worked solution
Halves are bigger pieces than thirds, so 1/2 is larger.
2 Which is larger: 3/4 or 1/4?
Show worked solution
Three quarters beats one quarter, so 3/4.
3 Write a fraction equal to 1/2 with 8 as the denominator.
Show worked solution
Half of 8 is 4, so 4/8 is the same amount as 1/2.
Level 2 · Core
4 Which is larger: 2/3 or 3/4?
Show worked solution
2/3 is 8/12 and 3/4 is 9/12, so 3/4 is larger.
5 Which is larger: 5/8 or 1/2?
Show worked solution
1/2 is 4/8, and 5/8 beats 4/8, so 5/8 is larger.
6 Order smallest first: 1/2, 1/4, 3/8 (type like 1/4,3/8,1/2)
Show worked solution
1/4 = 2/8, 3/8 = 3/8, 1/2 = 4/8. Order: 1/4, 3/8, 1/2.
Level 3 · Challenge
7 Which is larger: 4/5 or 5/6?
Show worked solution
4/5 is 24/30 and 5/6 is 25/30, so 5/6 is larger — by just one thirtieth.
8 A fraction with denominator 12 is larger than 1/3 but smaller than 1/2. What is it?
Show worked solution
1/3 is 4/12 and 1/2 is 6/12, so the fraction between them is 5/12.
9 Tom ate 2/5 of a cake and Ana ate 3/8 of the same cake. Who ate more? (type tom or ana)
Show worked solution
2/5 is 16/40 and 3/8 is 15/40, so Tom ate more — by one fortieth.