Subtraction of Rational Numbers

Q.

The weight of an empty gas cylinder is $16\frac{4}{5}\text{kg}$ and it contains $14\frac{2}{3}\text{kg}$ of gas. What is the weight of the cylinder filled with gas?

Q.

If $(15/8)–7\mathrm{x}=9$, then $-7\mathrm{x}=9+(15/8)$. State whether the statement is true or false .

1. True
2. False

Q.

Question 96

What should be subtracted from $\frac{-2}{3}$ to obtain the nearest integer?

Q.

Between the numbers $\frac{15}{20}$ and $\frac{35}{40}$, the greater number is___________

Q.

The weight of $7$ bags of rice is $32\frac{2}{3}$kg. The weight( in kg) of each bag of rice is

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

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

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

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

Q.

Find the sum of $\left(-312\right)$, $39$ and $192$.

Q.

Naina was given $1\frac{1}{2}$ piece of cake and Najma was given $1\frac{1}{3}$ piece of cake. Find the total amount of cake was given to both of them.

Q.

Simplify:

$8\frac{1}{4}-2\frac{5}{6}$

Q.

The denominator of a rational number is greater than its numerator by $3$. If the numerator is increased by $7$ and the denominator is decreased by $1$, the number becomes $\frac{3}{2}$. The original number is:

1. 8/11

2. 5/8

3. 7/10

4. 2/5

Q.

Question 94 (b)

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

Q.

I spend $\frac{2}{5}$ of my pocket money during the lunch break and $\frac{1}{8}$ after school. I also spend $\frac{1}{6}$ of the pocket money for my younger, what part of money do I spend in all?

Q. The sum of two rational number is $\frac{11}{24}.$ If one of them is $\frac{3}{8}$. Find the other.

Q. The product of two rational numbers $\frac{-9}{16}$. If one of the numbers is $\frac{-4}{3}$ then the other number is:

1. $\frac{36}{48}$
2. $\frac{27}{64}$
3. $\frac{27}{49}$
4. $\frac{25}{64}$

Q. $10-x$ means

1. $10$ is subtracted $x$ times.
2. $x$ is subtracted $10$ times.
3. $x$ is subtracted from $10$.
4. 10 is subtracted from $x$.

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

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

Q. Find the following products:
$(-1)\times (-2)\times (-3)\times 4$

Q. Find the smallest number by which $252$ must be multiplied to get a perfect square. Also, find the square root of the perfect square so obtained.

1. $8,48$
2. $7,42$
3. $9,42$
4. $7,48$

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.

Which rational number should be subtracted from $\frac{-7}{9}$ to get $\frac{5}{6}$ ?

1. $\frac{-29}{18}$

2. $\frac{-13}{18}$

3. $\frac{-26}{18}$

4. $\frac{-19}{18}$

Q.

Question 94 (k)

Taking $x=\frac{-4}{9},y=\frac{5}{12}$ and $z=\frac{7}{18},$ find
$x-(y+z)$

Q. What should be added to $-\frac{3}{16}$ to get $\frac{11}{24}$?

Q. What should be subtracted from $\frac{-3}{4}$ to get $1$?

Q.

Question 24

Fill in the blanks to make the statement true.

$\frac{-3}{5}+\frac{2}{5}=$ ___

Q.

$8$ parcels weigh $12\mathrm{kg}$. What will be the weight of $17$ parcels?

Q.

Solve :
$\frac{3}{8}+\frac{5}{8}-\frac{7}{8}$

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

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

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

4. $\frac{5}{8}$

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

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

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. A studen bought $4\frac{1}{3}$m of yellow ribbon, $6\frac{1}{6}$m of red ribbon and $3\frac{2}{9}$m of blue ribbon for decorating a room. How many meters of ribbon did he buy?

Q. Subtract:
$\frac{2}{9}\text{from}\frac{5}{9}$

Q.

Subtract

$\frac{2}{5}from\frac{4}{5}$