simplify: 16/28
Understand the Problem
The question is asking us to simplify the fraction 16/28, which involves finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by that number.
Answer
$\frac{4}{7}$
Answer for screen readers
The final answer is $\frac{4}{7}$
Steps to Solve
- Find the GCD of 16 and 28
To simplify a fraction, we first need to find the greatest common divisor (GCD) of the numerator and the denominator. The factors of 16 are 1, 2, 4, 8, and 16. The factors of 28 are 1, 2, 4, 7, 14, and 28. The GCD of 16 and 28 is 4.
- Divide the numerator and denominator by the GCD
Divide both 16 and 28 by their GCD, which is 4:
$$\frac{16 \div 4}{28 \div 4} = \frac{4}{7}$$
- Simplified fraction
After performing the division, the fraction is simplified to $\frac{4}{7}$.
The final answer is $\frac{4}{7}$
More Information
Simplifying fractions helps in reducing their size and making them easier to work with.
Tips
A common mistake is not correctly identifying the GCD, which can lead to an incorrect simplified fraction.
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