What is an equal fraction of 9/12?
Understand the Problem
The question is asking for a fraction that is equivalent to 9/12. This involves simplifying the fraction or finding another fraction that represents the same value.
Answer
The equivalent fraction is $ \frac{3}{4} $.
Answer for screen readers
The fraction equivalent to $ \frac{9}{12} $ is $ \frac{3}{4} $.
Steps to Solve
- Identify the greatest common divisor (GCD)
To simplify the fraction $\frac{9}{12}$, we need to find the GCD of the numerator (9) and the denominator (12). The GCD is the largest number that divides both 9 and 12 without leaving a remainder.
The GCD of 9 and 12 is 3.
- Divide the numerator and denominator by the GCD
Next, we divide both the numerator and the denominator by the GCD we found in the previous step.
$$ \frac{9 \div 3}{12 \div 3} = \frac{3}{4} $$
- State the equivalent fraction
Thus, the equivalent fraction to $\frac{9}{12}$ is $\frac{3}{4}$.
The fraction equivalent to $ \frac{9}{12} $ is $ \frac{3}{4} $.
More Information
The process of simplifying fractions ensures that the fraction represents the same value but in its simplest form. It is important in mathematics to use simplest fractions in calculations and comparisons.
Tips
- Forgetting to divide both the numerator and denominator by the GCD, which can lead to incorrect simplification.
- Misidentifying the GCD, which can result in an incorrect equivalent fraction.
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