Question

The sum of two rational numbers is $\frac{13}{24}$ . If one of the number is $\frac{3}{4}$, then find the other number ?

• A. $\frac{5}{24}$
• B. $\frac{31}{24}$
• C. $\frac{-5}{24}$
• D. $\frac{20}{24}$

Answer 1

The correct option is C

$\frac{-5}{24}$

Let the other number be $x$

So $x+\frac{3}{4}$ = $\frac{13}{24}$

$\therefore$ $x$ = $\frac{13}{24}-$$\frac{3}{4}$

LCM of 4 and 24 is 24

= $\frac{13}{24}-$$\frac{3\times 6}{4\times 6}$

= $\frac{13}{24}-$$\frac{18}{24}$

= $\frac{13-18}{24}$

= $\frac{-5}{24}$