Question

Taking x = `(-4)/9`, y = `5/12` and z = `7/18`, find the rational number which subtracted from y gives z.

Answer 1

Given, x = `(-4)/9`, y = `5/12` and z = `7/18`

Let we subtract A from y to get z

∴ y – A = z

⇒ `5/12 - A = 7/18`

⇒ –A = `7/18 - 5/12` = `(7 xx 2 - 5 xx 3)/36`  ......[∵ LCM of 18 and 12 = 36]

= `(14 - 15)/36`

= `(-1)/36`

⇒ A = `1/36`