Addition and Subtraction of Rational Numbers

Q. is the additive identity of rational numbers.

1. 1
2. \N
3. -1
4. $\frac{1}{2}$

Q.

What is the multiplicative inverse of $-\frac{13}{19}$?

Q.

The product of two rational numbers is $\frac{-36}{49}$ . If one the numbers is $\frac{-4}{7}$, find the other number.

1. $\frac{9}{7}$

2. $\frac{-5}{49}$

3. $\frac{-3}{7}$

4. $\frac{7}{4}$

Q.

What should be added to $\frac{-2}{3}$ to get $\frac{5}{6}$?

1. $\frac{2}{6}$
2. $\frac{3}{9}$
3. $\frac{9}{6}$
4. $\frac{12}{9}$

Q.

Find the sum of $\frac{2}{3}$ and $\frac{-3}{5}$.

1. $\frac{1}{5}$

2. $\frac{-1}{15}$

3. $\frac{1}{15}$

4. $\frac{19}{15}$

Q.

Nandini’s house is $\frac{9}{10}km$ from her school. She walked some distance and then took a bus for $\frac{1}{2}km$ to reach the school. How far did she walk?

Q.

The multiplicative inverse of $\frac{4}{3}$ is?

Q.

The sum of the rational numbers $\frac{-8}{19}$ and $\frac{-4}{57}$ is _____.

1. $\frac{-28}{57}$

2. $\frac{-12}{57}$

3. $\frac{-42}{47}$

4. $\frac{-32}{47}$

Q.

Find the sum of $\frac{1}{2}$ and $\frac{1}{3}$ .

1. $\frac{5}{6}$

2. $\frac{2}{5}$

3. $\frac{3}{5}$

4. $\frac{1}{6}$

Q.

There were 7 friends in a birthday party. If 3 friends ate $\frac{5}{8}$ of the cake, 2 others ate $\frac{1}{8}$ of the cake, then what fraction of the cake was left over for the remaining 2 friends?

1. $\frac{2}{8}$

2. $\frac{2}{4}$

3. $\frac{1}{4}$

4. $\frac{3}{8}$

Q.

The multiplicative inverse of $\frac{-3}{7}$ is?

Q.

Find the sum of the rational numbers
$\frac{-7}{19}and\frac{-2}{57}.$

1. $\frac{-21}{57}$

2. $\frac{-23}{57}$

3. $\frac{-22}{47}$

4. $\frac{-32}{47}$

Q. The sum of two rational number is −4. If one of them is $-\frac{13}{12}.$ Find the other.

Q.

If we subtract $\frac{1}{2}$ from a number and multiply the result by $\frac{1}{2}$, we get $\frac{3}{8}$. What is the number?

1. 1

2. 2

3. 1.25

4. 1.5

Q.

Is $0.3$ the multiplicative inverse of $3\frac{1}{3}$. Why or why not?

1. True
2. False

Q.

What should be subtracted from $\frac{-3}{5}$ to get 1?

1. $-\frac{8}{5}$

2. $-\frac{7}{5}$

3. $-\frac{6}{5}$

4. $-\frac{2}{5}$

Q.

$\text{The sum of}\frac{-3}{5}\text{and}\frac{1}{5}\text{is}$

1. $-\frac{4}{5}$

2. $\frac{-2}{5}$

3. $\frac{2}{5}$

4. $\frac{-1}{5}$

Q.

Find the difference between $\frac{1}{8}$ and $\frac{1}{6}$.

1. -$\frac{7}{24}$

2. $\frac{7}{24}$

3. -$\frac{1}{24}$

4. $\frac{1}{24}$

Q.

The multiplicative inverse of $-1\frac{1}{7}$

1. $\frac{8}{7}$

2. $\frac{-8}{7}$

3. $\frac{7}{8}$

4. $\frac{-7}{8}$

Q.

On subtracting $\frac{-3}{4}$ from $\frac{-5}{6}$ we get :

1. $\frac{1}{12}$

2. $\frac{-1}{12}$

3. $\frac{2}{3}$

4. $\frac{-2}{3}$

Q.

Compare the rational numbers and choose the correct option.

$\frac{2}{5}$___$\frac{3}{4}$

1. Cannot be determined

2. >

3. =

4. <

Q.

Fill in the missing fraction: $\boxed{}-\frac{3}{21}=\frac{5}{21}$

Q. Subtract $\frac{3}{4}$ from $\frac{11}{7}$.

1. $\frac{23}{7}$
2. $\frac{23}{28}$
3. $\frac{8}{28}$
4. $\frac{14}{28}$

Q. Evaluate:
$-\frac{11}{18}+\frac{-3}{9}+\frac{2}{-3}$

Q.

Evaluate

$\frac{-2}{7}+\frac{-4}{11}+\frac{-12}{7}+\frac{-7}{11}$

1. 2

2. -3

3. 3

4. -2

Q.

The reciprocal of a negative rational number is ___________.

1. a positive rational number

2. a negative rational number

3. can be either a positive or a negative rational number

4. None of the above

Q.

The sum of 2 rational numbers is $-5$. If one of them is $\frac{5}{2}$ find the other.

1. $\frac{-7}{2}$

2. $\frac{-15}{2}$

3. -7.5

4. - 3.5

Q.

Write additive inverse of $\frac{2}{8}$ and $\frac{6}{5}$.

Q.

The sum of $\frac{-35}{11}$ and $\frac{12}{55}$ is ____________

1. $\frac{-163}{55}$

2. $\frac{-165}{55}$

3. $\frac{-163}{11}$

4. $-\frac{136}{11}$

Q.

Which of the two rational numbers is greater?

$\frac{4}{3}or\frac{-8}{7}$