36/39 simplified
Understand the Problem
The question is asking to simplify the fraction 36/39 to its lowest terms. This involves finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by that number.
Answer
The simplified fraction is \( \frac{12}{13} \).
Answer for screen readers
The simplified fraction is ( \frac{12}{13} ).
Steps to Solve
- Find the GCD of 36 and 39
To simplify the fraction, we first need to find the greatest common divisor (GCD) of the numerator (36) and the denominator (39).
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.
The factors of 39 are: 1, 3, 13, 39.
The greatest factor common to both lists is 3. Thus, the GCD is 3.
- Divide the numerator and the denominator by the GCD
Next, we simplify the fraction by dividing both the numerator and the denominator by the GCD (3).
For the numerator: $$ \frac{36}{3} = 12 $$
For the denominator: $$ \frac{39}{3} = 13 $$
This simplifies the fraction to: $$ \frac{12}{13} $$
- Final simplified fraction
The simplified form of the fraction $ \frac{36}{39} $ is now $ \frac{12}{13} $.
The simplified fraction is ( \frac{12}{13} ).
More Information
Simplifying fractions is an essential skill in math, helping to make calculations easier and more understandable. Knowing how to find the GCD is crucial in this process.
Tips
- Failing to find the GCD accurately can result in an incorrect simplification. Always double-check the factors of both numbers.
- Dividing either the numerator or denominator by the wrong number or not dividing both parts equally will give an incorrect result.
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