Is 9/12 equivalent to 3/4?
Understand the Problem
The question is asking if the fraction 9/12 is equivalent to the fraction 3/4. To determine this, we can simplify 9/12 and see if it equals 3/4.
Answer
Yes, \( \frac{9}{12} = \frac{3}{4} \).
Answer for screen readers
Yes, the fraction ( \frac{9}{12} ) is equivalent to the fraction ( \frac{3}{4} ).
Steps to Solve
- Simplify the fraction 9/12
To simplify the fraction, find the greatest common divisor (GCD) of the numerator (9) and the denominator (12). The GCD of 9 and 12 is 3.
Now divide both the numerator and the denominator by their GCD:
$$ \frac{9 \div 3}{12 \div 3} = \frac{3}{4} $$
- Compare the simplified fraction with 3/4
Now, we need to compare the simplified fraction $\frac{3}{4}$ with the fraction $\frac{3}{4}$. Since both fractions are the same, we can conclude that they are equivalent.
Yes, the fraction ( \frac{9}{12} ) is equivalent to the fraction ( \frac{3}{4} ).
More Information
When simplifying fractions, always look for the greatest common divisor. This helps reduce fractions to their simplest forms. In this case, both fractions represent the same value.
Tips
A common mistake is forgetting to divide both the numerator and denominator by their GCD, which can lead to incorrect simplifications. Always check if the fraction can be simplified further.
