Question

Question 94 (a)

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

Answer 1

Given, $x=\frac{-4}{9},y=\frac{5}{12}andz=\frac{7}{18}$
Let we add A to x to get y.
$\therefore A+x=y\Rightarrow A+\left(\frac{-4}{9}\right)=\frac{5}{12}$
$\Rightarrow A=\frac{5}{12}-(-\frac{4}{9})=\frac{5}{12}+\frac{4}{9}=\frac{5\times 3+4\times 4}{36}$ [$\because$ LCM of 12 and 9 = 36]
$=\frac{15+16}{36}=\frac{31}{36}$