Question

b. write 1 multiplication and 1 division sentence to show what fraction represented on th line is equivalent to \\(\frac{2}{3}\\).
\\(\frac{2}{3}=\frac{2\times 2}{3\times 2}=\frac{4}{6}\\) \\(\frac{4}{6}=\frac{4\div 2}{6\div 2}=\frac{2}{3}\\)

Explanation:

Step1: Multiplication Sentence

To find an equivalent fraction, multiply numerator and denominator of $\frac{2}{3}$ by the same non - zero number (here 2).
$\frac{2}{3}=\frac{2\times2}{3\times2}=\frac{4}{6}$

Step2: Division Sentence

To get back to $\frac{2}{3}$ from an equivalent fraction (here $\frac{4}{6}$), divide numerator and denominator by the same non - zero number (here 2).
$\frac{4}{6}=\frac{4\div2}{6\div2}=\frac{2}{3}$

Answer:

Multiplication sentence: $\frac{2}{3}=\frac{2\times2}{3\times2}=\frac{4}{6}$; Division sentence: $\frac{4}{6}=\frac{4\div2}{6\div2}=\frac{2}{3}$