5/6 as a fraction in simplest form
Understand the Problem
The question is asking to express the fraction 5/6 in its simplest form, which means reducing it to the lowest terms. However, since 5 and 6 have no common factors other than 1, 5/6 is already in its simplest form.
Answer
The simplest form of the fraction is $\frac{5}{6}$.
Answer for screen readers
The simplest form of the fraction is $\frac{5}{6}$.
Steps to Solve
- Identify the numerator and denominator
In the fraction $\frac{5}{6}$, the numerator is 5 and the denominator is 6.
- Find the greatest common divisor (GCD)
To simplify the fraction, we need to determine the greatest common divisor (GCD) of the numerator and the denominator.
For 5 and 6, the only common factor is 1, as 5 is a prime number.
- Divide both the numerator and the denominator by the GCD
Now, we divide both the numerator and denominator by their GCD:
$$ \text{Numerator: } 5 \div 1 = 5 $$
$$ \text{Denominator: } 6 \div 1 = 6 $$
This gives us the simplified fraction $\frac{5}{6}$.
- Conclusion
Since the GCD was 1, the fraction $\frac{5}{6}$ is already in its simplest form.
The simplest form of the fraction is $\frac{5}{6}$.
More Information
The fraction $\frac{5}{6}$ is a proper fraction because its numerator is less than its denominator. The process of simplifying fractions is essential in mathematics as it helps in performing operations more efficiently.
Tips
- A common mistake is attempting to simplify a fraction without first finding the GCD. Always check for common factors.
- Another mistake could be incorrectly identifying the GCD of the numbers. Make sure to list the factors or use the Euclidean algorithm if needed.