Question
Add the following rational numbers:
$\frac{3}{4}\text{ and }\frac{-3}{5}$
$\frac{3}{4}\text{ and }\frac{-3}{5}$
✓
Answer
$\frac{3}{4}\text{ and }\frac{-3}{5}$
If $\frac{\text{p}}{\text{q}}$ and $\frac{\text{r}}{\text{s}}$ are two rational numbers such that q and s do not have a common factor.
$\frac{\text{p}}{\text{q}}+\frac{\text{r}}{\text{s}}=\frac{\text{p}\times\text{s}+\text{r}\times\text{q}}{\text{q}\times\text{s}}$
$\frac{3}{4}+\frac{-3}{5}=\frac{3\times(5)+(-3)\times4}{4\times5}$
$=\frac{15-12}{20}=\frac{3}{20}$
If $\frac{\text{p}}{\text{q}}$ and $\frac{\text{r}}{\text{s}}$ are two rational numbers such that q and s do not have a common factor.
$\frac{\text{p}}{\text{q}}+\frac{\text{r}}{\text{s}}=\frac{\text{p}\times\text{s}+\text{r}\times\text{q}}{\text{q}\times\text{s}}$
$\frac{3}{4}+\frac{-3}{5}=\frac{3\times(5)+(-3)\times4}{4\times5}$
$=\frac{15-12}{20}=\frac{3}{20}$
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, AB || DC and AD || BC, and AC is a diagonal. If $\angle\text{BAC}=35^\circ,\ \angle\text{CAD}=40^\circ,\ \angle\text{ACB}=\text{x}^\circ$ and $\angle\text{ACD}=\text{y}^\circ,$ find the values of x and y.
→The area of a rhombus is equal to the area of a triangle whose base and the corresponding height are 24.8 cm and 16.5 cm respectively. If one of the diagonals of the rhombus is 22 cm , find the lenght of the other diagonal.
At a charity show the price of each ticket was $\text{Rs. }33\frac{1}{2}.$ The total amount collected by a boy was $\text{Rs. }877\frac{1}{2}.$ How many tickets were sold by him?
→If the angles of a triangle are in the ratio 1 : 2 : 3, determine three angles.
The product of two decimals is 1.824. If one of them is 0.64, find the other.
ABC is a triangle in which $\angle \text{B} = \angle \text{C}$ and ray AX bisects the exterior angle DAC. If $\angle \text{DAX}=70^\circ.$ Find $\angle \text{ACB}$
→Solve the following equations. Check your result in case.
3x - 5 = 0
3x - 5 = 0
The total cost of 3 tables and 2 chairs is Rs. 1850. If a table costs Rs. 75 more than a chair, find the price of each.
Sumitra has Rs. 34 in 50 paise and 25 paise coins. If the numbers of 25 paise coins is twice the number of 50 paise coins, how many coins of each kind does she have?
If 69 buckets of equal capacity can be filled with 586.5 litres of water, what is the capacity of eacch bucket?