Which of the following is equivalent to $\dfrac{2}{5}$ ? A. $\dfrac{6}{15}$A. $\dfrac{6}{15}$ B. $\dfrac{3}{6}$ C. $\dfrac{5}{2}$ D. $\dfrac{1}{10}$ E. $\dfrac{4}{7}$
1. When the numerator and the denominator of $\dfrac{2}{5}$ are multiplied by $3$, it becomes $\dfrac{2 \times 3}{5 \times 3}=\dfrac{6}{15}$. So, these two fractions are equivalent.2. The fraction $\dfrac{2}{5}$ can be expressed as the following graph.Also, using the same whole, the fraction $\dfrac{6}{15}$ can be expressed as the following graph.Because the shaded amount for both figures are the same, both fractions, $\dfrac{2}{5}$ and $\dfrac{6}{15}$ are equivalent. No More Steps
