Question
Add the following rational numbers: $\frac{27}{-4}\text{ and }\frac{-15}{8}$
✓
Answer
$\frac{27}{-4}\text{ and }\frac{-15}{8}$
$\frac{27}{-4}=\frac{27\times(-1)}{-4\times(-1)}=\frac{-27}{4}$
$\Rightarrow\frac{-27}{4}\times\frac{2}{2}=\frac{-54}{8}$
$\therefore \frac{-27}{4}+\frac{-15}{8}=\frac{-54}{8}+\frac{-15}{8}$
$=\frac{-54+(-15)}{8}$
$=\frac{-54-15}{8}=\frac{-69}{8}$
$\frac{27}{-4}=\frac{27\times(-1)}{-4\times(-1)}=\frac{-27}{4}$
$\Rightarrow\frac{-27}{4}\times\frac{2}{2}=\frac{-54}{8}$
$\therefore \frac{-27}{4}+\frac{-15}{8}=\frac{-54}{8}+\frac{-15}{8}$
$=\frac{-54+(-15)}{8}$
$=\frac{-54-15}{8}=\frac{-69}{8}$
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
In the given figure, decide whether $l$ is parallel to $m.$
→If $2^{\text{n}-7}\times5^{\text{n}-4}=1250,$ fimd the value of $n$.
→A shopkeeper makes a profit of $15 \%$ by selling a book for $₹ 230$. What is the C.P. and the actual profit?
→In the following figure,
(i) Which edge is the intersection of faces EFGH and EFBA?
(ii) Which faces intersected at edge FB?
(iii) Which three faces form the vertex $A$?
(iv) Which vertex is formed by the faces $A B C D, A D H E$ and CDHG?
(v) Give all the edges that are parallel to edge AB.
(vi) Give the edges that are neither parallel nor perpendicular to edge $B C$.
(vii) Give all the edges that are perpendicular to edge $A B$.
→(i) Which edge is the intersection of faces EFGH and EFBA?
(ii) Which faces intersected at edge FB?
(iii) Which three faces form the vertex $A$?
(iv) Which vertex is formed by the faces $A B C D, A D H E$ and CDHG?
(v) Give all the edges that are parallel to edge AB.
(vi) Give the edges that are neither parallel nor perpendicular to edge $B C$.
(vii) Give all the edges that are perpendicular to edge $A B$.
Find the number from the following expanded form:
$5 \times 10^5+4 \times 10^4+2 \times 10^3+3 \times 10^0$
→$5 \times 10^5+4 \times 10^4+2 \times 10^3+3 \times 10^0$
Solve the following equation and check your answer:
$\frac{x-3}{5}-2=-1$
→$\frac{x-3}{5}-2=-1$
Find the median of the following data: $12, 17, 3, 14, 5, 8, 7, 15$
→The legs of a stool make an angle of $35^\circ $ with the floor as shown in Fig. Find the angles $x$ and $y.$ 
→In Fig, the sides $BC, CA$ and $BA$ of a $\triangle \text{ABC}$ have been produced to $D, E$ and $F$ respectively. If $\angle \text{ACD}=105^\circ$ and $\angle \text{EAF}=45^\circ,$ find all the angles of the $\triangle \text{ABC}$
→Compute the value of $x$ in the following figure.
→