23/3 simplified
Understand the Problem
The question is asking to simplify the fraction 23/3. This involves identifying the greatest common divisor and reducing the fraction to its simplest form.
Answer
The simplified fraction is $\frac{23}{3}$, and as a mixed number, it is $7 \frac{2}{3}$.
Answer for screen readers
The simplified fraction is $\frac{23}{3}$, and as a mixed number, it is $7 \frac{2}{3}$.
Steps to Solve
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Identify the numerator and denominator The fraction given is $\frac{23}{3}$. Here, 23 is the numerator and 3 is the denominator.
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Check for common divisors To simplify the fraction, check if there is a common divisor for 23 and 3. The greatest common divisor (GCD) of 23 and 3 is 1, as both numbers are prime and do not share any other factors.
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Simplifying the fraction Since the GCD is 1, the fraction cannot be simplified further. Thus, $\frac{23}{3}$ remains the same.
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Convert to mixed number (if needed) If you would like to express $\frac{23}{3}$ as a mixed number, divide 23 by 3. This gives: $$ 23 \div 3 = 7 \quad \text{(whole number)} $$ with a remainder of 2.
So, we can express this as: $$ \frac{23}{3} = 7 \frac{2}{3} $$
The simplified fraction is $\frac{23}{3}$, and as a mixed number, it is $7 \frac{2}{3}$.
More Information
The fraction $\frac{23}{3}$ cannot be simplified further since 23 and 3 are relatively prime numbers. The mixed number representation makes it easier to interpret in some contexts, indicating that there are 7 whole units and a remainder.
Tips
One common mistake is attempting to simplify fractions by overlooking the fact that the numbers may not have any common divisors other than 1. Always check for the GCD first.
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