what is the simplest form of 12/64
The Correct Answer and Explanation is:
To simplify the fraction 12/64, we need to divide both the numerator (12) and the denominator (64) by their greatest common divisor (GCD).
Step 1: Find the GCD of 12 and 64.
- First, list the factors of 12:
12 = 1, 2, 3, 4, 6, 12. - Then, list the factors of 64:
64 = 1, 2, 4, 8, 16, 32, 64.
The largest number that appears in both lists is 4. Therefore, the GCD of 12 and 64 is 4.
Step 2: Divide both the numerator and denominator by their GCD (4).
- Divide the numerator:
12 ÷ 4 = 3. - Divide the denominator:
64 ÷ 4 = 16.
Step 3: Write the simplified fraction.
Now that both numbers have been divided by their GCD, the simplified fraction is 3/16.
Conclusion:
The simplest form of 12/64 is 3/16.
Simplifying fractions like this is important because it makes calculations easier, especially when the numbers are smaller. Fractions in their simplest form also give a clearer representation of the relationship between the numerator and denominator. In this case, simplifying 12/64 to 3/16 reduces the fraction to its most basic form, helping to express the same ratio in a simpler way.
