What is equivalent to 10/12?
Understand the Problem
The question is asking for the equivalent fraction of 10/12. This means we need to simplify the fraction by finding a common factor.
Answer
The equivalent fraction of $ \frac{10}{12} $ is $ \frac{5}{6} $.
Answer for screen readers
The equivalent fraction of $ \frac{10}{12} $ is $ \frac{5}{6} $.
Steps to Solve
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Identify the numerator and denominator
The fraction given is $\frac{10}{12}$. Here, 10 is the numerator and 12 is the denominator. -
Find the greatest common divisor (GCD)
To simplify the fraction, we need to find the GCD of 10 and 12. The factors of 10 are 1, 2, 5, 10, and the factors of 12 are 1, 2, 3, 4, 6, 12. The highest common factor is 2. -
Divide both the numerator and denominator by the GCD
Now, we will divide both the numerator and denominator by their GCD, which is 2.
Thus, we have: $$ \frac{10 \div 2}{12 \div 2} = \frac{5}{6} $$ -
Final equivalent fraction
The fraction $\frac{10}{12}$ simplifies to $\frac{5}{6}$, which is the equivalent fraction.
The equivalent fraction of $ \frac{10}{12} $ is $ \frac{5}{6} $.
More Information
The fraction $ \frac{5}{6} $ means that for every 6 parts, 5 parts are considered. Simplifying fractions helps in understanding their values better and making calculations easier.
Tips
- Forgetting to divide both the numerator and denominator by the GCD can lead to incorrect simplification.
- Misidentifying the factors of the numbers, which can cause errors in finding the GCD.
