Question

Question 94 (c)

Taking $x=\frac{-4}{9},y=\frac{5}{12}$ and $z=\frac{7}{18},$ find
The rational number which when added to z gives us x.

Answer 1

Given, $x=\frac{-4}{9},y=\frac{5}{12}andz=\frac{7}{18}$
Let A be added to z to give x.
$\therefore A+z=x\Rightarrow A+\frac{7}{18}=\frac{-4}{9}$
$\Rightarrow A=\frac{-4}{9}-\frac{7}{18}=\frac{-4\times 2-7\times 1}{18}$ [$\because$ LCM of 18 and 9 = 18]
$=\frac{-8-7}{18}=\frac{-15}{18}=\frac{-5}{6}$