16/36 in simplest form Write the fraction 16 over 36 in simplest form.
The Correct Answer and Explanation is:
To simplify the fraction 1636\frac{16}{36}3616, we need to find the greatest common divisor (GCD) of the numerator (16) and the denominator (36), and then divide both the numerator and the denominator by that GCD.
Step 1: Find the factors of 16 and 36
- Factors of 16: 1, 2, 4, 8, 16
- Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Step 2: Find the GCD of 16 and 36
The greatest common divisor (GCD) is the largest number that is a factor of both 16 and 36. From the list of factors, we can see that the common factors of 16 and 36 are 1, 2, and 4. The greatest of these is 4.
Step 3: Divide both the numerator and the denominator by the GCD (4)
Now, divide both the numerator (16) and the denominator (36) by their GCD (4):1636=16÷436÷4=49\frac{16}{36} = \frac{16 \div 4}{36 \div 4} = \frac{4}{9}3616=36÷416÷4=94
Conclusion:
Thus, the fraction 1636\frac{16}{36}3616 simplifies to 49\frac{4}{9}94.
Explanation:
Simplifying fractions involves reducing them to their smallest possible terms, which is achieved by dividing both the numerator and the denominator by their greatest common divisor (GCD). This makes the fraction easier to understand and work with, as smaller numbers are generally more manageable.
In this case, 1636\frac{16}{36}3616 simplifies to 49\frac{4}{9}94, which is the simplest form of the fraction.
