To find a fraction equivalent to [tex]\(\frac{2}{3}\)[/tex], you can multiply both the numerator and the denominator by the same nonzero number.
Step-by-step solution:
1. Start with the fraction [tex]\(\frac{2}{3}\)[/tex].
2. Choose a nonzero number to multiply both the numerator and the denominator. For this example, let's use 2.
3. Multiply the numerator by 2:
[tex]\[
2 \times 2 = 4
\][/tex]
4. Multiply the denominator by 2:
[tex]\[
3 \times 2 = 6
\][/tex]
5. The new fraction, after multiplying both the numerator and the denominator by the same number (2), is [tex]\(\frac{4}{6}\)[/tex].
Therefore, an equivalent fraction to [tex]\(\frac{2}{3}\)[/tex] is [tex]\(\frac{4}{6}\)[/tex].
