Question

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

Answer 1

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

Let A be added to z to give x.

∴ A + z = x

⇒ `A + 7/18 = (-4)/9`

⇒ `A = (-4)/9 - 7/18`

= `(-4 xx 2 - 7 xx 1)/18`  ...[∵ LCM of 9 and 18 = 18]

= `(-8 - 7)/18`

= `(-15)/18`

=`(-5)/6`