Which of the following is equivalent to $\dfrac{2}{7}$ ? A. $\dfrac{6}{21}$A. $\dfrac{6}{21}$ B. $\dfrac{3}{8}$ C. $\dfrac{7}{2}$ D. $\dfrac{1}{14}$ E. $\dfrac{4}{9}$
1. When the numerator and the denominator of $\dfrac{2}{7}$ are multiplied by $3$, it becomes $\dfrac{2 \times 3}{7 \times 3}=\dfrac{6}{21}$. So, these two fractions are equivalent.2. The fraction $\dfrac{2}{7}$ can be expressed as the following graph.Also, using the same whole, the fraction $\dfrac{6}{21}$ can be expressed as the following graph.Because the shaded amount for both figures are the same, both fractions, $\dfrac{2}{7}$ and $\dfrac{6}{21}$ are equivalent. No More Steps
