Which of the following is equivalent to $\dfrac{4}{5}$ ? A. $\dfrac{12}{15}$A. $\dfrac{12}{15}$ B. $\dfrac{5}{6}$ C. $\dfrac{5}{4}$ D. $\dfrac{1}{20}$ E. $\dfrac{8}{9}$
1. When the numerator and the denominator of $\dfrac{4}{5}$ are multiplied by $3$, it becomes $\dfrac{4 \times 3}{5 \times 3}=\dfrac{12}{15}$. So, these two fractions are equivalent.2. The fraction $\dfrac{4}{5}$ can be expressed as the following graph.Also, using the same whole, the fraction $\dfrac{12}{15}$ can be expressed as the following graph.Because the shaded amount for both figures are the same, both fractions, $\dfrac{4}{5}$ and $\dfrac{12}{15}$ are equivalent. No More Steps