Question

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Explanation:

Step1: Recall equivalent fractions

Equivalent fractions are obtained by multiplying or dividing the numerator and denominator by the same non - zero number.

Step2: Check each option

• For \(\frac{4}{6}\): We can simplify \(\frac{4}{6}\) by dividing both the numerator and the denominator by 2. \(\frac{4\div2}{6\div2}=\frac{2}{3}\).
• For \(\frac{1}{2}\): Cross - multiply with \(\frac{2}{3}\), \(1\times3 = 3\) and \(2\times2=4\), \(3

eq4\), so \(\frac{1}{2}\) is not equivalent to \(\frac{2}{3}\).

• For \(\frac{5}{6}\): Cross - multiply with \(\frac{2}{3}\), \(5\times3 = 15\) and \(6\times2 = 12\), \(15

eq12\), so \(\frac{5}{6}\) is not equivalent to \(\frac{2}{3}\).

• For \(\frac{3}{4}\): Cross - multiply with \(\frac{2}{3}\), \(3\times3=9\) and \(4\times2 = 8\), \(9

eq8\), so \(\frac{3}{4}\) is not equivalent to \(\frac{2}{3}\).

Answer:

\(\frac{4}{6}\) (the first option)