The numbers 3, 3, 7, 7 can make 24 in 1 distinct way. The simplest is ((3÷7)+3)×7 = 24. Every solution passes through a fraction, so you have to divide before you multiply. Difficulty: very hard.
Enter exactly 4 numbers to make 24
((3÷7)+3)×7 = 24. 1 distinct solutions, 0 without fractions, difficulty very hard.All Possible Ways to Make 24
1((3÷7)+3)×7 = 24
How to Make 24 with 3 3 7 7
Simplest solution: ((3÷7)+3)×7 = 24
1
3 ÷ 7 = 3/7
2
3/7 + 3 = 24/7
3
24/7 × 7 = 24
About this set
| Numbers | 3, 3, 7, 7 |
|---|---|
| Sum | 20 |
| Product | 441 |
| Distinct solutions | 1 |
| Solutions using only whole numbers | 0 |
| Difficulty | Very hard |
Tips to Quickly Make 24 with 3 3 7 7
- The set repeats 3, so try combining the two 3s first: 3 + 3 = 6, 3 × 3 = 9 or 3 ÷ 3 = 1.
- No whole-number route exists here. Look for a division that leaves a fraction and is cancelled by a later step, as in the simplest solution above.
- Try different groupings with parentheses; the order you combine the numbers in is what unlocks a solution.
Similar Ways to Make 24
Frequently Asked Questions
Can you make 24 with 3 3 7 7?
Yes. There is 1 distinct solution, and the simplest is ((3÷7)+3)×7 = 24.
Are there multiple ways to make 24 with 3 3 7 7?
No. 3 3 7 7 has exactly one solution: ((3÷7)+3)×7 = 24. Rearranging the numbers does not give a different answer.
Do you need fractions to make 24 with 3 3 7 7?
Yes. Every solution passes through a fraction, so you cannot get to 24 using whole numbers only.
How hard is it to make 24 with 3 3 7 7?
It is rated very hard on this site, based on how many distinct solutions the set has (1).