Addition of Rational Numbers

Q.

Find the sum of $\frac{8}{13}$ and $\frac{3}{11}$ .

Q.

Compute the following expression using suitable property:
$(7+999)+(250-243)$

Q.

Question 2 (i)

Find:
$\frac{7}{24}-\frac{17}{36}$

Q. What should be added to $\frac{-7}{8}$ to get $\frac{4}{9}$?

1. $\frac{72}{95}$
2. $\frac{95}{72}$
3. $\frac{-72}{95}$
4. $\frac{-95}{72}$

Q.

Question 1(h) :

Solve:

$\frac{5}{6}-\frac{1}{3}$

Q.

Question 1 (iv)

Find the sum:
$\frac{-3}{-11}+\frac{5}{9}$

Q.

What should be added to $\frac{-3}{4}$ to get $\frac{5}{16}$?

1. $\frac{12}{16}$

2. $\frac{13}{16}$

3. $\frac{17}{16}$

4. $\frac{11}{16}$

Q.

Which of the following expression is the same as $6-3+5-9+2$ according to the commutative property?

1. $2+5+(-9)+(-3)+6$

2. All of the above

3. $6+(-3)+(-9)+5+2$
4. $6+5+2+(-3)+(-9)$

Q.

The sum of two rational numbers is $\frac{13}{24}$ . If one of the number is $\frac{3}{4}$, then find the other number ?

1. $\frac{5}{24}$

2. $\frac{31}{24}$

3. $\frac{-5}{24}$

4. $\frac{20}{24}$

Q.

Question 2 (v)

Find:
$-2\frac{1}{9}-6$

Q.

Question 78 (ii)

Find the sum of $\frac{7}{3}$ and $\frac{-4}{3}$

Q.

The product of two rational numbers is $12.$If one of them is $-8,$find the other.

Q.

Find the rational numbers equal to $\frac{5}{7}$.

Q.

Solve:

$-\frac{2}{3}\times \frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times \frac{1}{6}$

Q.

Question 87

Complete the following table by finding the sums.

Q.

Which of the following pairs of rational numbers are smaller than -5?

1. () & ()

2. () & ()

3. () & ()

4. () & ()

Q.

Question 2(b) :

Solve:

$\frac{8}{15}+\frac{3}{15}$

Q.

What should be added to
$\frac{-3}{8}\text{to get}\frac{5}{16}?$

1. $\frac{14}{16}$

2. $\frac{11}{16}$

3. $\frac{13}{16}$

4. $\frac{12}{16}$

Q.

$\text{The sum of three rational numbers is}\frac{-1}{5}.\text{If two numbers are}\frac{-2}{5}\text{and}\frac{3}{10},\text{then find}\text{the third number.}$

1. $\frac{8}{10}$

2. $\frac{1}{10}$

3. $\frac{-1}{10}$

4. $\frac{-2}{10}$

Q.

Question 95

What should be added to $\frac{-1}{2}$ to obtain the nearest natural number?

Q.

Add the following rational numbers.
$\frac{4}{9},\frac{-1}{2}$ and $\frac{3}{-5}$

1. $\frac{59}{90}$

2. $\frac{49}{90}$

3. $\frac{-49}{90}$

4. $\frac{-59}{90}$

Q.

Question 94 (a)

Taking $x=\frac{-4}{9},y=\frac{5}{12}$ and $z=\frac{7}{18},$ find
The rational number which when added to x gives y.

Q.

How do you add $\frac{1}{3}+\frac{1}{4}$?

Q.

Question 3(iv)

Identify the operations used (addition, subtraction, division, multiplication) in forming the following expressions and tell how the expressions have been formed:

7m, - 7m +3, - 7m - 3

Q.

What is the value of this expression
$\frac{-2}{3}+\frac{3}{4}$

1. $\frac{1}{5}$
2. $\frac{1}{14}$

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

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

Q.

Write a rational number equal to $\frac{4}{7}$ with 63 as the denominator. The numerator of the rational number is ___ .

Q.

Find the result obained by the addition of
$\frac{2}{3}\text{to the reciprocal of}\frac{-2}{3}.$

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

2. $\frac{6}{7}$

3. $\frac{-6}{7}$

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

Q.

Lipika reads a book for $1\left(\frac{3}{4}\right)$ hours every day. She reads the entire book in $6$ days. How many hours in all were required by her to read the book$?$

Q.

The sum of the series $\frac{3}{4·8}-\frac{3·5}{4·8·12}+\frac{3·5·7}{4·8·12·16}-..........$ is

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

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

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

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

Q.

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

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

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

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

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