36/8 simplified
Understand the Problem
The question is asking to simplify the fraction 36/8. To solve it, we will divide both the numerator and the denominator by their greatest common divisor (GCD).
Answer
The simplified fraction is \( \frac{9}{2} \).
Answer for screen readers
The simplified fraction is ( \frac{9}{2} ).
Steps to Solve
- Find the Greatest Common Divisor (GCD)
We need to identify the GCD of the numerator (36) and the denominator (8). The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The factors of 8 are 1, 2, 4, and 8. The greatest common factor between them is 4.
- Divide Both the Numerator and Denominator by the GCD
Now we divide the numerator and the denominator by their GCD, which is 4:
$$ \frac{36 \div 4}{8 \div 4} = \frac{9}{2} $$
- Final Simplified Fraction
The fraction is now simplified to its lowest terms, which is
$$ \frac{9}{2} $$
The simplified fraction is ( \frac{9}{2} ).
More Information
The fraction ( \frac{9}{2} ) can also be expressed as a mixed number, which would be 4.5 or ( 4 \frac{1}{2} ).
Tips
- Not finding the GCD correctly: Make sure to list out the factors carefully to identify the GCD.
- Failing to simplify both the numerator and the denominator: Remember to divide both parts of the fraction by the GCD.
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