Book Online Demo

Check Your IQ

Try Test

Courses

What is the additive inverse of $\frac{a}{b}$ ?

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

\frac{- a}{b}

\frac{b}{a}

\frac{- b}{a}

\frac{a}{b}

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

The given expression is

\frac{a}{b}

.
The additive inverse of a number is what you add to a number to create the sum of zero.
So, in other words, the additive inverse of

x

is another number,

y

, as long as the sum of

x + y

equals zero.
The additive inverse of

x

is equal and opposite in sign to it (so,

y = - x

or vice versa).
Let the additive inverse of

\frac{a}{b}

z

. Then,

\Rightarrow \frac{a}{b} + z = 0

\Rightarrow z = - \frac{a}{b}

Therefore, the additive inverse of

\frac{a}{b}

- \frac{a}{b} .

Hence, option 1 is correct.

Watch 3-min video & get full concept clarity