Question
What should be added to $-\frac{3}{6}$ to get $-\frac{11}{24} ?$
✓
Answer
Let the required rational number be $x$
Other number $=-\frac{3}{16}$
Sum of two number $=\frac{11}{24}$
According to question,
$ \begin{aligned} & -\frac{3}{16}+\mathrm{x}=\frac{11}{24} \\ & \Rightarrow \mathrm{x}=\frac{11}{24}+\frac{3}{16} \\ & \mathrm{x}=\frac{11 \times 2}{24 \times 2}+\frac{3 \times 3}{16 \times 3} \end{aligned} $
$(\because$ L.C.M. of 16 and $24=48)$
$ \begin{aligned} & x=\frac{22}{48}+\frac{9}{48} \\ & x=\frac{22+9}{48}=\frac{31}{48} \end{aligned} $
Other number $=-\frac{3}{16}$
Sum of two number $=\frac{11}{24}$
According to question,
$ \begin{aligned} & -\frac{3}{16}+\mathrm{x}=\frac{11}{24} \\ & \Rightarrow \mathrm{x}=\frac{11}{24}+\frac{3}{16} \\ & \mathrm{x}=\frac{11 \times 2}{24 \times 2}+\frac{3 \times 3}{16 \times 3} \end{aligned} $
$(\because$ L.C.M. of 16 and $24=48)$
$ \begin{aligned} & x=\frac{22}{48}+\frac{9}{48} \\ & x=\frac{22+9}{48}=\frac{31}{48} \end{aligned} $
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Simplify and express the Solution in the positive exponent form:
$-\frac{128}{2187}$
→$-\frac{128}{2187}$
Solve: $\frac{2 \mathrm{p}}{3}-\frac{\mathrm{p}}{5}=35$
→Express the ratio in simplest form : $1 \frac{2}{3}: 2 \frac{1}{2}: 1 \frac{3}{4}$
→The sides of a rectangular park are in the ratio $4 : 3$. If its area is $1728\ m^2,$ find
$(i)$ its perimeter
$(ii)$ cost of fencing it at the rate of $₹\ 40$ per meter.
→$(i)$ its perimeter
$(ii)$ cost of fencing it at the rate of $₹\ 40$ per meter.
Insert three fractions between
$\frac{4}{7} \text { and } \frac{3}{4}$
→$\frac{4}{7} \text { and } \frac{3}{4}$
Evaluate: $(a + 5)(3a - 2)(5a + 1)$
→Read the given bar graph and answer the questions that follow :
(i) What information is represented by the bar graph?
(ii) How many marks were obtained in English?
(iii) In which subject least marks were obtained?
(iv) What was the total marks obtained in all the subjects together?
(i) What information is represented by the bar graph?
(ii) How many marks were obtained in English?
(iii) In which subject least marks were obtained?
(iv) What was the total marks obtained in all the subjects together?
In $\triangle A B C, B A$ and $B C$ are produced. Find the angles $a$ and $h$. if $A B=$ BC.
→Out of 25 identical bulbs, 17 are red, 3 are black and the remaining are yellow. Find the difference between the numbers of red and yellow bulbs and express this difference as percent.
In the given figure, express $a$ in terms of $b$
→