36/24 simplified
Understand the Problem
The question is asking for the simplification of the fraction 36/24. To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by that number.
Answer
The simplified fraction is \( \frac{3}{2} \).
Answer for screen readers
The simplified fraction is ( \frac{3}{2} ).
Steps to Solve
- Find the GCD of 36 and 24
To simplify the fraction, we first need to find the greatest common divisor (GCD) of 36 and 24. The GCD is the largest number that divides both 36 and 24 without leaving a remainder.
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The common factors are: 1, 2, 3, 4, 6, 12
Thus, the greatest common divisor (GCD) is 12.
- Divide both the numerator and denominator by the GCD
Next, we will simplify the fraction by dividing both the numerator (36) and the denominator (24) by the GCD (12).
Calculate the simplified numerator: $$ 36 \div 12 = 3 $$
Calculate the simplified denominator: $$ 24 \div 12 = 2 $$
- Write the simplified fraction
Now we can write the simplified fraction using the results from the previous step:
The simplified fraction is: $$ \frac{36}{24} = \frac{3}{2} $$
The simplified fraction is ( \frac{3}{2} ).
More Information
When a fraction is simplified, it can make computations easier, especially when performing further calculations. The simplification process is an important skill in both basic and advanced math.
Tips
- A common mistake is improperly finding the GCD. Always check all factors to ensure you’ve found the largest one.
- Another mistake is forgetting to simplify after finding the GCD. Always divide both the numerator and denominator.
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