Add the following rational numbers: 3 4 and -3 5 - Vidyadip

Question

Add the following rational numbers:
$\frac{3}{4}\text{ and }\frac{-3}{5}$

✓

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.
$\frac{\text{p}}{\text{q}}+\frac{\text{r}}{\text{s}}=\frac{\text{p}\times\text{s}+\text{r}\times\text{q}}{\text{q}\times\text{s}}$
$\frac{3}{4}+\frac{-3}{5}=\frac{3\times(5)+(-3)\times4}{4\times5}$
$=\frac{15-12}{20}=\frac{3}{20}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Operations On Rational Numbers→Operations On Rational Numbers — all question types→MATHS STD 7 question papers→Gujarat Board STD 7 question papers→Gujarat Board question paper generator→

Similar questions

Solve the following equation. Also, verify the result.
$\frac{3}{4}(x-1)=x-3$

Find the quotient by converting the denominator into 1, 10, 100, or 1000 and verify the solution by the long division method (division by place value):
$\frac{4827}{8}$

The extension of an elastic string varies directly as the weight hung on it. If a weight of $150\ g$ produces an extension of $2.8\ cm,$ what weight would produce an extension of. $19.6\ cm?$

Find the sum: $\frac{5}{6}+\frac{7}{8}$

Subtract: $\frac{-13}{9}\text{ from }0$

A wire is looped in the form of a circle of radius 28 cm. It is re-bent into a square form. Determine the length of the side of the square.

Simplifiy: $\frac{-5}{16}+\frac{7}{24}$

Evaluate
(i) $(-1)^{19} \times(-1)^{26}$
(ii) $(-1)^{21}-(-1)^{22}$

The area of four walls of a room is $120m^2$. If the length of the room is twice its breadth and the height is $4m$, find the area of the floor.

Arun bought a car for ₹ 350000. The next year, the price went upto ₹ 370000. What was the percentage of price increase?