12/32 simplest form
Understand the Problem
The question is asking to reduce the fraction 12/32 to its simplest form, which involves finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by that number.
Answer
The simplified form of the fraction is \( \frac{3}{8} \).
Answer for screen readers
The simplified form of the fraction ( \frac{12}{32} ) is ( \frac{3}{8} ).
Steps to Solve
- Find the GCD of 12 and 32
To simplify the fraction, we need to determine the greatest common divisor (GCD) of the numbers 12 and 32. The GCD is the largest number that divides both 12 and 32 without leaving a remainder.
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 32 are: 1, 2, 4, 8, 16, 32
The common factors are: 1, 2, 4
Thus, the GCD is 4.
- Divide the numerator and denominator by the GCD
Now that we have the GCD, we can divide both the numerator (12) and the denominator (32) by 4:
$$ \frac{12}{32} = \frac{12 \div 4}{32 \div 4} $$
Calculating this gives:
$$ \frac{12 \div 4}{32 \div 4} = \frac{3}{8} $$
Thus, the simplified form of the fraction is ( \frac{3}{8} ).
The simplified form of the fraction ( \frac{12}{32} ) is ( \frac{3}{8} ).
More Information
The simplified fraction represents the same value as the original fraction but is expressed in the simplest form, which is often easier to understand and work with. Simplifying fractions is a fundamental skill in math that is useful in many applications.
Tips
- Forgetting to find the GCD and simply reducing the fraction by common factors without checking for the largest common divisor.
- Not simplifying fully, i.e., reducing to a fraction that can still be simplified further.