56/60 simplified
Understand the Problem
The question is asking to simplify the fraction 56/60 to its lowest terms. This involves finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by this number.
Answer
$ \frac{14}{15} $
Answer for screen readers
The simplified fraction is $ \frac{14}{15} $.
Steps to Solve
- Find the GCD of 56 and 60
To simplify the fraction, we need to find the greatest common divisor (GCD) of the two numbers. We can list the factors of each number or use the Euclidean algorithm.
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The common factors are 1, 2, 4. Thus, the GCD is 4.
- Divide both the numerator and denominator by the GCD
Next, we will divide both the numerator (56) and the denominator (60) by the GCD (4).
$$ \frac{56 \div 4}{60 \div 4} = \frac{14}{15} $$
- Write the simplified fraction
Now, we can write the fraction in its simplest form:
The simplified fraction is $ \frac{14}{15} $.
The simplified fraction is $ \frac{14}{15} $.
More Information
Reducing fractions to their simplest form is a key skill in mathematics. It helps in making calculations easier and clearer. The concept of GCD is essential not only for simplifying fractions but also in number theory and solving problems involving ratios.
Tips
- Failing to find all factors: Ensure you find all factors of both numbers carefully to correctly determine the GCD.
- Dividing incorrectly: Be careful when performing the division; double-check your calculations.
