Which of the following is equivalent to $\dfrac{2}{5}$ ? A. $\dfrac{4}{10}$A. $\dfrac{4}{10}$ 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 $2$, it becomes $\dfrac{2 \times 2}{5 \times 2}=\dfrac{4}{10}$. 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 $\dfrac{4}{10}$ can be expressed as the following graph.Because the shaded amount for both figures are the same, both fractions, $\dfrac{2}{5}$ and $\dfrac{4}{10}$ are equivalent. No More Steps