Question

Write the next three rational numbers to complete the pattern:
$\frac{-8}{7},\frac{-16}{14},\frac{-24}{21},\frac{-32}{28},$ ___ ___ ___
[3 marks]

Answer 1

Given rational number is $\frac{-8}{7}$
So, the next three equivalent rational numbers are
$\frac{-8\times 5}{7\times 5}=\frac{-40}{35},\frac{-8\times 6}{7\times 6}=\frac{-48}{42}$ and $\frac{-8\times 7}{7\times 7}=\frac{-56}{49}$
Hence, three next equivalent numbers are $\frac{-40}{35},\frac{-48}{42},\frac{-56}{49}.$
(3 $\times$ 1 = 3 marks)