Q: Which of the following is an improper fraction?

Since numerator > denominator only in option A. Therefore, it is correct.

Question 1

Jaidev takes  2\dfrac { 1 }{ 5 }   minutes to walk across the school ground. Rahul takes  \dfrac { 7 }{ 4 }   minutes to do the same. who takes less time and by what fraction?

Accepted Answer

Time taken by Jaidev to walk  = 2 \dfrac{1}{5}  minutes  =\dfrac{11}{5}  minutesTime taken by Rahul to walk across the ground  =\dfrac{7}{4}  minutesNow, compare the fractions \dfrac{11}{5} =\dfrac{11	imes4}{5	imes4} =\dfrac{44}{20} \dfrac{7}{4} =\dfrac{7	imes5}{4	imes5} =\dfrac{35}{20} \dfrac{44}{20}>\dfrac{35}{20} ⇒\dfrac{7}{4}<\dfrac{11}{5} So, Rahul takes lesser time than Jaidev.Difference  =\dfrac{11}{5}−\dfrac{7}{4} =\dfrac{11	imes4}{5	imes4}−\dfrac{7	imes5}{4	imes5} =\dfrac{44}{20}−\dfrac{35}{20} =\dfrac{9}{20} So, Rahul takes lesser time than Jaidev, by  \dfrac{9}{20}  minutes.

Question 2

Which of the following is an improper fraction?

Accepted Answer

Since numerator > denominator only in option  A.  Therefore, it is correct.

Question 3

Which of the following is/are proper fraction?

Accepted Answer

Proper fraction is a fraction that is less than one, with the numerator less than the denominator.In figure A,Shaded parts  = 3 Total parts  = 8 Fraction  =\dfrac{3}{8} In figure B,Shaded parts  = 1 Total parts  = 1 Fraction  =\dfrac{1}{1} In figure C,Shaded parts  = 1 Total parts  = 4 Fraction  =\dfrac{1}{4} In figure D,Shaded parts  = 3 Total parts  = 7 Fraction  =\dfrac{3}{7} 	herefore  Figures A, C and D are examples of proper fraction.

Question 4

A fraction whose numerator is greater than its denominator is           fraction.

Accepted Answer

That will be an improper fractionEx  \dfrac{6}{5}

Question 5

State whether the following statements are true  \left(T\right)  or false  \left(F\right) : A fraction in which the numerator is greater than is denominator is called an improper fraction

Accepted Answer

TrueA fraction in which the numerator is greater than the denominator is called an improper fraction .

Question 6

Which of the following are proper fractions? 1/2,3/5,10/7,7/4,2,15 /8,16/16,10/11,23/ 10

Accepted Answer

A fraction whose numerator is less than its denominator is called a proper fraction.Here,  1 / 2, 3/5   and  10 / 11  are proper fractions.

Question 7

The sum of two numbers is  11  and the sum of their reciprocals is  \dfrac{{11}}{{28}}  Find the numbers.

Accepted Answer

Given sum of two numbers is  11 x+y=11  _____ (1)sum of their reciprocals is  \dfrac{11}{28} . \dfrac{1}{x}+\dfrac{1}{y}=\dfrac{11}{48} \dfrac{y+x}{xy}=\dfrac{11}{48} 28(x+y)= 11xy  _______ (2) 28(11)= 11.xy xy=28 Now (x-y)^{2}=x^{2}+y^{2}-2xy\ (x-y)^{2}=(x+y)^{2}-4xy\ (x-y)^{2}=(11)^{2}-4	imes28\ (x-y)^{2}=121-112\ (x-y)^{2}=9\ x-y=\sqrt{9}\ x-y=3  _______ (3)On adding (1) & (3) x+y=1 x-y=3 _________ 2x=14\ x=\dfrac{14}{2}\ x=7\ putting  x=7  in equation _____ (1) x+y=11\ 7 +y=11\ y=11-7\ y=4\ 	herefore   The two numbers are  (x,y)=(7,4)

Question 8

Convert   2435\ m   to   km   and express the result as a mixed fraction.

Accepted Answer

We know that  1\  km  = 1000\ m  \Rightarrow 1\ m = \dfrac {1}{1000}\ km  \Rightarrow  2435\ m = \dfrac  {1}{1000} 	imes 2435\ km  \Rightarrow  2435\ m  = \dfrac {2435}{1000}\ km = \dfrac{487}{200}\ km   	herefore  2435\ m=2 \dfrac {87}{200} \ km

Question 9

Which of the following is not a proper fraction?

Accepted Answer

Fractions that are greater than  0  but less than  1  are called proper fractions.In proper fractions, the numerator is less than the denominator.When a fraction has a numerator that is greater than or equal to the denominator, then the fraction is an improper fraction. An improper fraction is always  1  or greater than  1 .Now looking at options  \dfrac{2}{3}=.666  < 1 \dfrac{3}{4}= .75 < 1 \dfrac{5}{7}= .71  <1 \dfrac{6}{5}=1.2  > 1 So   \dfrac{6}{5}   is Not a Proper fraction.So option  D  is correct.

Question 10

Asha and Samuel have bookshelves of the same size partly filled with books. Asha's shelf is  \dfrac { 5 }{ 6 }  th full and Samuel's shelf is  \dfrac { 2 }{ 5 }  th full. Whose bookshelf is more full? By what fraction?

Accepted Answer

A fraction of books in Asha’s shelf  =5/6 A fraction of books in Samuel’s shelf  =2/5 We compare the fractions to find whose shelf is more full.LCM of  5  &  6  is  30 \dfrac{5}{6} =\dfrac{5	imes5}{5	imes6} =\dfrac{25}{30} \dfrac{2}{5} =\dfrac{2	imes6}{5	imes6} =\dfrac{12}{30} \dfrac{25}{30}>\dfrac{12}{30} \dfrac{5}{6}>\dfrac{2}{5} So, Asha’s shelf has more books and is more full. \dfrac{5}{6}−\dfrac{2}{5} =\dfrac{5	imes5}{6	imes5}−\dfrac{2	imes6}{5	imes6} =\dfrac{25}{30}−\dfrac{12}{30} =\dfrac{13}{30} Asha’s shelf is more full and by  =\dfrac{13}{30}

Revise with Concepts

Types of Fractions and thier Conversions

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Quick Summary With Stories

Proper, Improper and Mixed fractions

Adding and subtracting mixed fractions

Word Problems on Adding and Subtracting Mixed Fractions

Important Questions

Jaidev takes $2 \frac{1}{5}$ minutes to walk across the school ground. Rahul takes $\frac{7}{4}$ minutes to do the same. who takes less time and by what fraction?

Which of the following is an improper fraction?

Which of the following is/are proper fraction?

A fraction whose numerator is greater than its denominator is fraction.

State whether the following statements are true $(T)$ or false $(F)$ :
A fraction in which the numerator is greater than is denominator is called an improper fraction

Which of the following are proper fractions?
$1 / 2, 3 / 5, 10 / 7, 7 / 4, 2, 15 / 8, 16 / 16, 10 / 11, 23 / 10$

The sum of two numbers is $11$ and the sum of their reciprocals is $\frac{1 1}{2 8}$ Find the numbers.

Convert $2435 m$ to $k m$ and express the result as a mixed fraction.

Which of the following is not a proper fraction?

Asha and Samuel have bookshelves of the same size partly filled with books. Asha's shelf is $\frac{5}{6}$ th full and Samuel's shelf is $\frac{2}{5}$ th full. Whose bookshelf is more full? By what fraction?

Revise with Concepts

Types of Fractions and thier Conversions

Learn with Videos

Quick Summary With Stories

Proper, Improper and Mixed fractions

Adding and subtracting mixed fractions

Word Problems on Adding and Subtracting Mixed Fractions

Important Questions

Jaidev takes 251​ minutes to walk across the school ground. Rahul takes 47​ minutes to do the same. who takes less time and by what fraction?

Which of the following is an improper fraction?

Which of the following is/are proper fraction?

A fraction whose numerator is greater than its denominator is fraction.

State whether the following statements are true (T) or false (F): A fraction in which the numerator is greater than is denominator is called an improper fraction

Which of the following are proper fractions? 1/2,3/5,10/7,7/4,2,15/8,16/16,10/11,23/10

The sum of two numbers is 11 and the sum of their reciprocals is 2811​ Find the numbers.

Convert 2435 m to km and express the result as a mixed fraction.

Which of the following is not a proper fraction?

Asha and Samuel have bookshelves of the same size partly filled with books. Asha's shelf is 65​th full and Samuel's shelf is 52​th full. Whose bookshelf is more full? By what fraction?

Jaidev takes $2 \frac{1}{5}$ minutes to walk across the school ground. Rahul takes $\frac{7}{4}$ minutes to do the same. who takes less time and by what fraction?

State whether the following statements are true $(T)$ or false $(F)$ :
A fraction in which the numerator is greater than is denominator is called an improper fraction

Which of the following are proper fractions?
$1 / 2, 3 / 5, 10 / 7, 7 / 4, 2, 15 / 8, 16 / 16, 10 / 11, 23 / 10$

The sum of two numbers is $11$ and the sum of their reciprocals is $\frac{1 1}{2 8}$ Find the numbers.

Convert $2435 m$ to $k m$ and express the result as a mixed fraction.

Asha and Samuel have bookshelves of the same size partly filled with books. Asha's shelf is $\frac{5}{6}$ th full and Samuel's shelf is $\frac{2}{5}$ th full. Whose bookshelf is more full? By what fraction?