Subtraction of Rational Numbers

Q.

Divide the sum of $\frac{65}{12}$ and $\frac{8}{3}$ by their difference.

Q.

The sum of two rational numbers is -2. If one of the numbers is $\frac{-14}{5}$, find the other.

Q.

The sum of two rational numbers is $\frac{-1}{2}$. If one of the numbers is $\frac{5}{6},$ find the other.

Q.

A drum full of rice weighs $40\frac{1}{6}kg$. If the empty drum weighs $13\frac{3}{4}$kg, find the weight of rice in the drum.

Q.

Subtract the first rational number from the second in each of the following:

(i) $\frac{3}{8},\frac{5}{8}$

(ii) $\frac{-7}{9},\frac{4}{9}$

(iii) $\frac{-2}{11},\frac{-9}{11}$

(iv)$\frac{11}{13},\frac{-4}{13}$

(v) $\frac{1}{4},\frac{-3}{8}$

(vi)$\frac{-2}{3},\frac{5}{6}$

(vii) $\frac{-6}{7},\frac{-13}{14}$

(viii)$\frac{-8}{33},\frac{-7}{22}$

Q.

What number should be added to -1 so as to get $\frac{5}{7}$ ?

Q.

Evaluate each of the following: $\left(i\right)\frac{2}{3}-\frac{3}{5}\left(ii\right)\frac{-4}{7}-\frac{2}{-3}\left(iii\right)\frac{4}{7}-\frac{-5}{-7}\left(iv\right)-2-\frac{5}{9}\left(v\right)\frac{-3}{-8}-\frac{-2}{7}\left(vi\right)\frac{-4}{13}-\frac{-5}{26}\left(vii\right)\frac{-5}{14}-\frac{-2}{7}\left(viii\right)\frac{13}{15}-\frac{12}{25}\left(ix\right)\frac{-6}{13}-\frac{-7}{13}\left(x\right)\frac{7}{24}-\frac{19}{36}\left(xi\right)\frac{5}{63}-\frac{-8}{21}$

Q.

The sum of two rational numbers is -3. If one of the them is $-\frac{10}{3}$ then the other one is

(a) $\frac{-13}{3}$

(b) $\frac{-19}{3}$

(c) $\frac{1}{3}$

(d) $\frac{13}{3}$

Q.

Subtract :

(i) $\frac{3}{4}$ from $\frac{1}{3}$ (ii) $\frac{-5}{6}$ from $\frac{1}{3}$ (iii) $\frac{-8}{9}$ from $\frac{-3}{5}$

(iv) $\frac{-9}{7}$ from -1 (v) $\frac{-18}{11}$ from 1 (vi) $\frac{-13}{9}$ from 0

(vii) $\frac{-32}{13}$ from $\frac{-6}{5}$ (viii) -7 from $\frac{-4}{7}$

Q.

What number should be added to $\frac{-5}{8}$ so as to get $\frac{-3}{2}$ ?

Q.

$\text{Which rational number should be subtracted from}\frac{-5}{6}\text{to get}\frac{4}{9}?$

Q.

The sum of two numbers is $\frac{-4}{3}.$ If one of the number is -5. what is the other ?

(a) $\frac{-11}{3}$

(b) $\frac{11}{3}$

(c) $\frac{-19}{3}$

(d) $\frac{19}{3}$

Q.

What number should be subtracted from $\frac{-2}{3}$ to get $\frac{-1}{6}$ ?

Q.

What should be added to $\frac{7}{12}\text{to get}\frac{-4}{15}$ ?

(a) $\frac{17}{20}$

(b) $\frac{-17}{20}$

(c) $\frac{7}{20}$

(d) $\frac{-7}{20}$

Q.

$\text{Which rational number should be added to}\frac{-5}{9}\text{to get}\frac{-2}{3}?$

Q. Question 141(i)
The diagram shows the wingspans of different species of birds. Use the diagram to answer the question given below.
How much longer is the wingspan of an Albatross than the wingspan of a Sea gull?

Q.

Evaluate :
$\left(i\right)\frac{2}{3}-\frac{4}{5}\left(ii\right)\frac{-4}{9}-\frac{2}{-3}\left(iii\right)-1-\frac{4}{9}\left(iv\right)\frac{-2}{7}-\frac{3}{-14}\left(v\right)\frac{-5}{18}-\frac{-2}{9}\left(vi\right)\frac{5}{21}-\frac{-13}{42}$

Q.

Subtract :
$\left(i\right)\frac{5}{8}\text{~}from\frac{-3}{8}\left(ii\right)\frac{-8}{11}\text{~}from\frac{4}{11}\left(iii\right)\frac{4}{9}\text{~}from\frac{-5}{9}\left(iv\right)\frac{1}{4}\text{~}from\frac{-3}{8}\left(v\right)\frac{-5}{8}\text{~}from\frac{-13}{16}\left(vi\right)\frac{-9}{22}\text{~}from\frac{-9}{33}$

Q.

What should be added to $\frac{-5}{7}\text{to get}\frac{-2}{3}$?

(a) $\frac{-29}{21}$

(b) $\frac{29}{21}$

(c) $\frac{1}{21}$

(d) $\frac{-1}{21}$

Q. Find $\frac{(x+y)}{(x-y)}$, if $x=\frac{5}{2}$ and $y=\frac{3}{2}.$

1. 2
2. 4
3. $\frac{7}{2}$
4. $\frac{9}{2}$

Q. Question 141(i)
The diagram shows the wingspans of different species of birds. Use the diagram to answer the question given below.
How much longer is the wingspan of an Albatross than the wingspan of a Sea gull?

Q.

Krishh had $\frac{5}{12}$ part of an apple pie. Ferdie had $\frac{2}{9}$ part of the same pie. What part of the pie was left after both of them had it?

1. $\frac{11}{18}$

2. $\frac{13}{36}$

3. $\frac{7}{18}$

4. $\frac{11}{36}$

Q. A rational number's such that when you multiply it by $\frac{5}{2}$ and add $\frac{2}{3}$ to the product, you get $\frac{-7}{12}$. What is the number?

Q.

By what numbers should $\frac{-15}{28}$ be multiplied, so that the product may be $\frac{-5}{7}$?

Q. Golu started from his house towards North. After covering a distance of 8 km. he turned towards left and covered a distance of 6 km. What is the shortest distance now from his house?

1. 14 KM
2. 16 KM
3. 10 KM
4. 2 KM

Q. Question 141(ii)
The diagram shows the wingspans of different species of birds. Use the diagram to answer the question given below.
How much longer is the wingspan of a Golden eagle than the wingspan of a Blue jay?

Q. Simplify: $\frac{4}{5}\times (\frac{125}{64}+\frac{75}{48})\times \frac{5}{4}\times (\frac{64}{125}+\frac{48}{75})$

Q. Find the smallest square number which is divisible by each of the number $6,9$ and $15$.

Q.

Vikram spends $3\frac{1}{2}$ hours in doing homework whereas his sister Neeru spends $2\frac{1}{4}$ hours. How much more time does Vikram spend in doing homework ?

Q.

Fill in the blanks.

$\frac{\boxed{}}{\boxed{}}+\frac{6}{9}=\frac{8}{9}$