16/28 in simplest form
Understand the Problem
The question is asking for the fraction 16/28 to be simplified to its lowest terms. To do this, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by that number.
Answer
The simplified fraction is $\frac{4}{7}$.
Answer for screen readers
The simplified fraction is $\frac{4}{7}$.
Steps to Solve
- Find the GCD of 16 and 28
To simplify the fraction, we first need to determine the greatest common divisor (GCD) of 16 and 28. We can find the GCD by listing the factors or using the Euclidean algorithm.
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 28 are: 1, 2, 4, 7, 14, 28
The greatest factor they have in common is 4. Thus, $GCD(16, 28) = 4$.
- Divide the numerator and the denominator by the GCD
Now, we will simplify the fraction by dividing both the numerator and the denominator by the GCD we found.
The numerator is 16, and when we divide by the GCD:
$$ \frac{16}{4} = 4 $$
The denominator is 28, and when we divide by the GCD:
$$ \frac{28}{4} = 7 $$
Thus, the simplified fraction is $\frac{4}{7}$.
- Write the final answer
After simplifying, we can now represent the final answer as:
$$ \text{The simplified fraction is } \frac{4}{7}. $$
The simplified fraction is $\frac{4}{7}$.
More Information
When reducing fractions, finding the GCD is a crucial step. It's interesting to note that simplification can help in various applications like cooking, budgeting, and more to present quantities in the simplest form.
Tips
- A common mistake is to assume that the numerator and denominator can be divided by any common number, rather than the greatest common divisor. To avoid this, always find the GCD.
