Mark (✓) against the correct answer

Question:

Mark (✓) against the correct answer

What should be added to $\frac{-3}{5}$ to get $\frac{-1}{3} ?$

(a) $\frac{4}{5}$

(b) $\frac{8}{15}$

(c) $\frac{4}{15}$

(d) $\frac{2}{5}$

Solution:

(C) $\frac{4}{15}$

Let the number be x">x

Now,

$\frac{-3}{5}+x=\frac{-1}{3}$

$\Rightarrow x=\frac{-1}{3}+\left(\right.$ Additive inverse of $\left.\frac{-3}{5}\right)$

$\Rightarrow x=\frac{-1}{3}+\frac{3}{5}$

$\Rightarrow x=\left(\frac{-1 \times 5}{3 \times 5}\right)+\left(\frac{3 \times 3}{5 \times 3}\right)$

$\Rightarrow x=\frac{-5}{15}+\frac{9}{15}$

$\Rightarrow x=\frac{-5+9}{15}$

$\Rightarrow x=\frac{4}{15}$

 

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now