Which fraction is equivalent to 2/4?
Understand the Problem
The question is asking us to identify a fraction that represents the same value as 2/4. To find equivalent fractions, we typically multiply or divide the numerator and denominator by the same number.
Answer
The equivalent fractions for $\frac{2}{4}$ include $\frac{1}{2}$, $\frac{4}{8}$, and $\frac{6}{12}$.
Answer for screen readers
The equivalent fractions for $\frac{2}{4}$ include $\frac{1}{2}$, $\frac{4}{8}$, and $\frac{6}{12}$.
Steps to Solve
- Multiply the fraction by a whole number
To find equivalent fractions, we can multiply both the numerator and the denominator of the fraction $\frac{2}{4}$ by the same whole number. For example, let's multiply by 2:
$$ \frac{2 \times 2}{4 \times 2} = \frac{4}{8} $$
- Divide the fraction by a whole number
Alternatively, we can also divide the numerator and the denominator by the same whole number, provided it evenly divides both. If we divide by 2:
$$ \frac{2 \div 2}{4 \div 2} = \frac{1}{2} $$
- More examples of equivalent fractions
By continuing this method, we can find more equivalent fractions. For example, if we multiply the original fraction by 3:
$$ \frac{2 \times 3}{4 \times 3} = \frac{6}{12} $$
So, the fractions $\frac{4}{8}$, $\frac{1}{2}$, and $\frac{6}{12}$ are all equivalent to $\frac{2}{4}$.
The equivalent fractions for $\frac{2}{4}$ include $\frac{1}{2}$, $\frac{4}{8}$, and $\frac{6}{12}$.
More Information
Finding equivalent fractions is useful in simplifying fractions and understanding ratios. Notably, fractions represent the same value even if their numerators and denominators differ, as long as they are scaled by the same factor.
Tips
- Forgetting to multiply or divide both parts: When looking for equivalent fractions, always remember to apply the same operation (multiply or divide) to both the numerator and denominator to maintain the value.
- Using non-whole numbers: Ensure that you multiply or divide by whole numbers only to keep the fraction equivalently scaled.