25/30 in simplest form
Understand the Problem
The question is asking how to simplify the fraction 25/30 to its simplest form. To solve this, we need to find the greatest common divisor of the numerator and denominator and divide both by this number.
Answer
The simplest form of the fraction $\frac{25}{30}$ is $\frac{5}{6}$.
Answer for screen readers
The simplest form of the fraction $\frac{25}{30}$ is $\frac{5}{6}$.
Steps to Solve
- Find the Greatest Common Divisor (GCD)
To simplify the fraction $\frac{25}{30}$, we first need to find the GCD of 25 and 30. The GCD is the largest number that divides both 25 and 30.
- List the factors of each number
- The factors of 25 are: 1, 5, 25
- The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
- Identify the GCD
From the factors listed, the common factors are: 1, 5. The greatest of these is 5. Hence, the GCD is 5.
- Divide both numerator and denominator by the GCD
Now we simplify the fraction by dividing both the numerator and the denominator by the GCD:
$$ \frac{25 \div 5}{30 \div 5} = \frac{5}{6} $$
- Final Result
The fraction $\frac{25}{30}$ simplified to its lowest terms is $\frac{5}{6}$.
The simplest form of the fraction $\frac{25}{30}$ is $\frac{5}{6}$.
More Information
Simplifying fractions helps in making them easier to understand and work with, and it is a fundamental skill in mathematics. The process of finding the GCD is particularly useful in many areas of math, including algebra and number theory.
Tips
- A common mistake is forgetting to find the GCD correctly and simplifying incorrectly. Always ensure you check all factors.
- Another mistake is not dividing both the numerator and denominator by the GCD, which could lead to an incorrect fraction.
