Question
Add the following rational numbers: $\frac{-2}{5}\text{ and }\frac{3}{4}$
✓
Answer
$\frac{-2}{5}\text{ and }\frac{3}{4}$
$\frac{-2}{5}=\frac{-2\times4}{5\times4}=\frac{-8}{20}$
$\frac{3}{4}=\frac{3\times5}{4\times5}=\frac{15}{20}$
$\therefore \ \frac{-2}{5}+\frac{3}{4}=\frac{-8}{20}+\frac{15}{20}$
$=\frac{-8+15}{20}=\frac{7}{20}$
$\frac{-2}{5}=\frac{-2\times4}{5\times4}=\frac{-8}{20}$
$\frac{3}{4}=\frac{3\times5}{4\times5}=\frac{15}{20}$
$\therefore \ \frac{-2}{5}+\frac{3}{4}=\frac{-8}{20}+\frac{15}{20}$
$=\frac{-8+15}{20}=\frac{7}{20}$
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
Solve the following equation by trial-and-error method:
$\frac{x}{4}=12$
→$\frac{x}{4}=12$
Romesh borrowed ₹ 2000 at $2 \%$ per annum and $₹ 1000$ at $5 \%$ per annum. He cleared his debt after 2 years by giving $₹ 2800$ and a watch. What is the cost of the watch?
→The heights (in cm) of $40$ boys were measured and recorded as under:
Find the mean height.
→| Height (in cm) | $165$ | $170$ | $175$ | $180$ |
| Number of boys | $9$ | $8$ | $11$ | $12$ |
Find the sum: $2\frac{3}{5}+4\frac{7}{10}+2\frac{4}{15}$
→Find the reciprocal fraction and classify them as proper, improper, or whole number.
$\frac{3}{7}$
→$\frac{3}{7}$
In a right-angled triangle if an angle measures $35^\circ ,$ then find the measure of the third angle.
→In Fig., $\triangle A B C$ is right angled at $A . Q$ and $R$ are points on line $B C$ and $P$ is a point such that $Q P \| A C$ and $R P \| A B$. Find $\angle P$.
→Simplify: $\frac{16\times2^{\text{n}+1}-8\times2^{\text{n}}}{16\times2^{\text{n}+2}-4\times2^{\text{n}+1}}$
→The product of two rational numbers is $10$. If one of the numbers is $-8$, find the other.
→By selling an article for ₹ 240 , a man makes a profit of $20 \%$. What is his C.P. ? What would his profit percent be if he sold the article for ₹ 275 ?
→