Which of the following is equivalent to $\dfrac{2}{3}$ ? A. $\dfrac{8}{12}$A. $\dfrac{8}{12}$ B. $\dfrac{3}{4}$ C. $\dfrac{3}{2}$ D. $\dfrac{1}{6}$ E. $\dfrac{4}{5}$
1. When the numerator and the denominator of $\dfrac{2}{3}$ are multiplied by $4$, it becomes $\dfrac{2 \times 4}{3 \times 4}=\dfrac{8}{12}$. So, these two fractions are equivalent.2. The fraction $\dfrac{2}{3}$ can be expressed as the following graph.Also, using the same whole, the fraction $\dfrac{8}{12}$ can be expressed as the following graph.Because the shaded amount for both figures are the same, both fractions, $\dfrac{2}{3}$ and $\dfrac{8}{12}$ are equivalent. No More Steps
