Subtraction of Rational Numbers

Q.

Verify that: $-(-x)=x$ for $x=\frac{11}{15}$.

Q.

The number which is subtracted from $\frac{27}{13}$ to get $\frac{-3}{7}$ is:

1. $\frac{228}{91}$

2. $\frac{1}{91}$

3. $\frac{200}{91}$

4. $\frac{198}{91}$

Q. Each side of a square is $45cm$ and a rectangle has length $50cm$. If the perimeters of both (square and rectangle) are same, find the breadth of the rectangle.

Q. The product of two rational numbers is $\frac{7}{9}$. If one of the numbers is $\frac{-14}{27}$. find

Q. The difference of two rational numbers is $\frac{5}{9}$.If one of the number is $\frac{1}{3}$, find the other number.

Q.

What number must be subtracted from
$\frac{1}{4}toget\frac{1}{2}?$

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

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

3. 1

4. -1

Q. Solve: $\frac{3}{10}$ + $\frac{7}{15}$

1. $\frac{23}{30}$
2. $\frac{22}{30}$
3. $\frac{24}{30}$
4. $\frac{21}{30}$

Q. Solve:
$\frac{-7}{12}÷\left(\frac{-2}{13}\right)$

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

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