1 8 12 12 = 24: 1 solution
12 ÷ (12 ÷ 8 − 1) = 24
- 12 ÷ 8 = 3/2
- 3/2 − 1 = 1/2
- 12 ÷ 1/2 = 24
Solving hints
Build a factor pair: split the four numbers into two groups and try to make a factor pair of 24 — 3 × 8, 4 × 6, or 12 × 2 — then multiply the two groups.
No factor pair divides cleanly? Switch to sums: make two numbers add up to 24, or try shapes like (a ± b) × (c ± d) and (a + b + c) × d.
This hand needs fraction intermediates: the classic shape is a ÷ (b − c ÷ d) — build a fraction first, then multiply it back to 24.
Related hands
FAQ
Can 1 8 12 12 make 24?
Yes. Every one of them is listed above with step-by-step working.
How many solutions does 1 8 12 12 have?
1 — the list above is exhaustive, so every mathematically distinct way to combine the numbers is shown.
How difficult is 1 8 12 12?
It is rated “Expert” on our four-tier scale, based on whether whole-number intermediate steps suffice, how many distinct solutions exist, and whether the hand includes a two-digit card (10–13).