Which of the following is equivalent to $\dfrac{5}{7}$ ? A. $\dfrac{15}{21}$A. $\dfrac{15}{21}$ B. $\dfrac{6}{8}$ C. $\dfrac{7}{5}$ D. $\dfrac{1}{35}$ E. $\dfrac{10}{12}$
1. When the numerator and the denominator of $\dfrac{5}{7}$ are multiplied by $3$, it becomes $\dfrac{5 \times 3}{7 \times 3}=\dfrac{15}{21}$. So, these two fractions are equivalent.2. The fraction $\dfrac{5}{7}$ can be expressed as the following graph.Also, using the same whole, the fraction $\dfrac{15}{21}$ can be expressed as the following graph.Because the shaded amount for both figures are the same, both fractions, $\dfrac{5}{7}$ and $\dfrac{15}{21}$ are equivalent. No More Steps
