The simplified form of 10/12 is ______.
Understand the Problem
The question is asking for the simplified form of the fraction 10/12. To solve it, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by that number.
Answer
The simplified form of the fraction $ \frac{10}{12} $ is $ \frac{5}{6} $.
Answer for screen readers
The simplified form of the fraction $\frac{10}{12}$ is $\frac{5}{6}$.
Steps to Solve
- Find the GCD of the numerator and denominator
To simplify the fraction, we first need to find the greatest common divisor (GCD) of 10 and 12. The factors of 10 are 1, 2, 5, and 10, while the factors of 12 are 1, 2, 3, 4, 6, and 12. The GCD is the largest number that appears in both lists of factors.
The GCD of 10 and 12 is 2.
- Divide both the numerator and denominator by the GCD
Now we will divide both the numerator (10) and the denominator (12) by their GCD (2).
This gives us:
$$ \frac{10 \div 2}{12 \div 2} = \frac{5}{6} $$
- Final Simplified Fraction
The fraction $ \frac{10}{12} $ simplifies to $ \frac{5}{6} $.
The simplified form of the fraction $\frac{10}{12}$ is $\frac{5}{6}$.
More Information
The fraction $ \frac{5}{6} $ represents a ratio where for every 6 parts, 5 parts are considered. This simplification process is crucial in mathematics and is applicable in various real-world scenarios, such as cooking or dividing resources.
Tips
- Not finding the GCD correctly: Ensure that you list out all factors or use the Euclidean algorithm to find the GCD accurately.
- Not simplifying both terms: Always remember to divide both the numerator and the denominator by the GCD.
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