Is 1/2 equivalent to 2/4?
Understand the Problem
The question is asking whether the fraction one-half (1/2) is equal to the fraction two-fourths (2/4). To determine this, we would compare the two fractions by simplifying or cross-multiplying to see if they represent the same value.
Answer
Yes, the fraction $ \frac{1}{2} $ is equal to the fraction $ \frac{2}{4} $.
Answer for screen readers
Yes, the fraction $ \frac{1}{2} $ is equal to the fraction $ \frac{2}{4} $.
Steps to Solve
- Understanding fractions
First, it's important to understand that a fraction consists of a numerator (top number) and a denominator (bottom number). We are comparing the fractions $ \frac{1}{2} $ and $ \frac{2}{4} $.
- Cross-multiplication
We can use cross-multiplication to compare the two fractions. Multiply the numerator of the first fraction by the denominator of the second fraction, and vice versa: $$ 1 \times 4 = 4 $$ $$ 2 \times 2 = 4 $$
- Compare the results
Now, we compare the results of our cross-multiplication: Since $ 4 = 4 $, the two fractions are equal.
- Conclusion
Therefore, we conclude that the fractions $ \frac{1}{2} $ and $ \frac{2}{4} $ are indeed equal.
Yes, the fraction $ \frac{1}{2} $ is equal to the fraction $ \frac{2}{4} $.
More Information
Both fractions represent the same value, which is half. You can also see that $ \frac{2}{4} $ can be simplified by dividing both the numerator and denominator by 2, resulting in $ \frac{1}{2} $.
Tips
- A common mistake is assuming that two fractions with different numerators and denominators are always unequal. Always verify by simplifying or cross-multiplication.
