Multiplication of Fractions

Q.

A fraction with numerator $1$ is called

1. None of these

2. Proper fraction

3. Unit fraction

4. Improper fraction

Q.

Simplify $\frac{3}{7}+\frac{1}{21}-\frac{1}{14}$

Q.

Solve $\frac{1}{3}-(\frac{5}{6}\times \frac{9}{18})+\frac{2}{9}$.

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

2. $\frac{5}{36}$

3. $\frac{6}{36}$

4. $\frac{7}{36}$

Q.

1. 49

2. 1/7

3. 7

4. 1/49

Q.

1. 3:4

2. 1:2

3. 1:4

4. 2:3

Q. How do you represent $0.3125$ in the form of $\frac{p}{q}$, where $p$ and $q$ are integers and $q$ is not zero?

1. $\frac{6}{18}$
2. $\frac{6}{20}$
3. $\frac{5}{16}$
4. $\frac{5}{25}$

Q. $\frac{1}{\sqrt{9}-\sqrt{8}}$ is equal to

(a) $3+2\sqrt{2}$

(b) $\frac{1}{3+2\sqrt{2}}$

(c) $3-2\sqrt{2}$

(d) $\frac{3}{2}-\sqrt{2}$

Q. Solve:

Q.

During the class, teacher introduced john with a new word "proper fraction”. Can you identify which of the following is a proper fraction?

1. 3/2

2. 4/9

3. 9/4

4. 13/12

Q.

1. 5:4

2. 8:5

3. 4:5

4. 5:8

Q.

1. 8

2. 15

3. 25

4. 2

Q. Mohit bought $150$ litres of paint. He used $70$ litres of paint for his house and $40$ litres for his friend's house. How much paint is left with him?

1. $35$ litres
2. $50$ litres
3. $40$ litres
4. $30$ litres

Q. Five tables and eight chairs cost Rs. $7,350$; three tables and five chairs cost Rs. $4,475$. The price of a table is

1. Rs. $950$
2. Rs. $325$
3. Rs. $350$
4. Rs. $925$

Q.

Convert the following unlike fractions into like fractions.

$\frac{3}{5},\frac{3}{10}and\frac{1}{20}$

Q.

Find the value of

$2\frac{1}{3}-(-1\frac{1}{3}-3\frac{1}{3}+\frac{1}{2})-\frac{2}{3}$

Q.

To clear his doubt, John decided to take help of Byjus classes videos. While going through the video, He found that some of the fractions can be written as combination of whole number and a proper fraction. Which of the following represents 13/3 in that form?

1. 
   

2. 
   

3. 
   

4. 
   

Q. Solve: $x^{\log 5}=50$

Q. Divide :
$\frac{25/9}{\frac{36}{180}+\frac{116}{4105}+\frac{36}{180}}$

Q. $9a^4+12a^2{b}^2+4b^4$
Which of the following is equivalent to the expression shown above?

1. $(3a^2+2b^2{)}^2$
2. $(3a+2b{)}^4$
3. $(9a^2+4b^2{)}^2$
4. $(9a+4b{)}^4$

Q. How do you represent $0.3125$ in the form of $\frac{p}{q}$, where $p$ and $q$ are integers and $q$ is not zero?

1. $\frac{6}{20}$
2. $\frac{5}{25}$
3. $\frac{5}{16}$
4. $\frac{6}{18}$

Q. Solve:
$\frac{-5}{8}\times \frac{-3}{7}$

Q.

Simplify:$\frac{7}{3}+2\frac{3}{4}-\frac{1}{7}$

Q. Solve $\frac{3}{-5}\times \frac{-5}{3}$