Question

Write the next three rational numbers to complete the pattern:
$$\dfrac{4}{-5},\dfrac{8}{-10},\dfrac{12}{-15},\dfrac{16}{-20},$$ , ____ , ____ , ____.

Answer 1

Next three equivalent rational numbers are
$$\Rightarrow \dfrac{4}{-5}$$
$$\Rightarrow \dfrac{4}{-5}=\dfrac{4\times5}{-5\times5}=\dfrac{20}{-25}$$
$$\Rightarrow \dfrac{4}{-5}=\dfrac{4\times6}{-5\times6}=\dfrac{28}{-35}$$
$$\Rightarrow \dfrac{4}{-5}=\dfrac{4\times7}{-5\times7}=\dfrac{28}{-35}$$
Therefore, next equivalent rational numbers of given number are $$\dfrac{20}{-25},\dfrac{24}{-30}$$ and $$\dfrac{28}{-35}.$$