16/24 in simplest form
Understand the Problem
The question is asking us to simplify the fraction 16/24 to its lowest terms. This can be done by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by that number.
Answer
\(\frac{2}{3}\)
Answer for screen readers
The fraction in its simplest form is (\frac{2}{3}).
Steps to Solve
- Find the Greatest Common Divisor (GCD) of 16 and 24
To simplify the fraction, we need to find the GCD of 16 and 24. We can use the Euclidean algorithm or list the factors of each number.
Factors of 16: 1, 2, 4, 8, 16 Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
The common factors are: 1, 2, 4, 8. The GCD is 8.
- Divide both the numerator and the denominator by the GCD
We now divide both the numerator (16) and the denominator (24) by their GCD (8).
[ \frac{16}{24} = \frac{16 \div 8}{24 \div 8} ]
- Simplify the fraction
Perform the division to simplify the fraction:
[ \frac{16 \div 8}{24 \div 8} = \frac{2}{3} ]
The fraction in its simplest form is ( \frac{2}{3} ).
The fraction in its simplest form is (\frac{2}{3}).
More Information
Simplifying fractions helps in making mathematical calculations easier and more manageable. The fraction ( \frac{2}{3} ) is the simplest form of ( \frac{16}{24} ).
Tips
A common mistake is not finding the correct GCD or not simplifying the fraction completely. Always check the GCD by listing all factors or using the Euclidean algorithm.
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