What Is 24/36 in Simplest Form?
24/36 simplified is 2/3. Divide the top and the bottom by the same number, their greatest common factor, and the value of the fraction stays the same.
Step 1: Find the GCF of 24 and 36
List the factors of each number and pick the biggest one they share.
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
- Common factors: 1, 2, 3, 4, 6, 12
The biggest common factor is 12, so GCF(24, 36) = 12.
Step 2: Divide the Top and Bottom by the GCF
24 ÷ 12 = 2 and 36 ÷ 12 = 3, so:
24/36 = 2/3
Another Way: Cancel the Shared Primes
- 24 = 2³ × 3
- 36 = 2² × 3²
Cancel the shared primes, 2 × 2 × 3, from the top and bottom. What is left is 2 on top and 3 on the bottom: 2/3.
Check the Answer
2 and 3 have no common factor except 1, so 2/3 is fully simplified. Both fractions equal about 0.6667 as a decimal.
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