Sure, let's discuss equivalent fractions first, and then we'll specifically address the equivalent fraction for [tex]\(\frac{1}{2}\)[/tex].
### Equivalent Fractions
Equivalent fractions are different fractions that represent the same part of a whole. They have different numerators and denominators, but their values are equal when simplified. To find an equivalent fraction, you can multiply or divide both the numerator and the denominator by the same non-zero number.
For example, the fraction [tex]\(\frac{1}{2}\)[/tex] means one part out of two equal parts.
### Finding an Equivalent Fraction for [tex]\(\frac{1}{2}\)[/tex]
Let's find an equivalent fraction for [tex]\(\frac{1}{2}\)[/tex]:
1. Multiply the Numerator and Denominator:
- Choose any non-zero number to multiply both the numerator (1) and the denominator (2).
- Let's use 2 for this example.
2. Calculations:
- Numerator: [tex]\(1 \times 2 = 2\)[/tex]
- Denominator: [tex]\(2 \times 2 = 4\)[/tex]
3. Equivalent Fraction:
- The fraction you get is [tex]\(\frac{2}{4}\)[/tex].
### Conclusion:
So, an equivalent fraction for [tex]\(\frac{1}{2}\)[/tex] is:
[tex]\[
\frac{1}{2} = \frac{2}{4}
\][/tex]
Both of these fractions represent the same value.
