Sample QuestionsFractions questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Mark $(\checkmark)$ against the correct answer in the following: $\frac{5}{6}+\frac{2}{3}-\frac{4}{9}=\ ?$
- A
$1\frac{1}{3}$
- B
$1\frac{1}{6}$
- C
$1\frac{1}{9}$
- ✓
$1\frac{1}{18}$
Answer: D.
View full solution →Mark $(\checkmark)$ against the correct answer in the following: A fraction equivalent to $\frac{3}{5}$ is:
Answer: C.
View full solution →Mark $(\checkmark)$ against the correct answer in the following: Which of the following is a proper fraction?
- ✓
$\frac{7}{8}$
- B
$1\frac{7}{8}$
- C
$\frac{8}{7}$
- D
Answer: A.
View full solution →Mark $(\checkmark)$ against the correct answer in the following: $\frac{5}{8}+\frac{1}{8}=\ ?$
- A
$\frac{3}{8}$
- ✓
$\frac{3}{4}$
- C
$6$
- D
Answer: B.
View full solution →Mark $(\checkmark)$ against the correct answer in the following: The largest of the fractions $\frac{6}{11},\frac{7}{11},\frac{8}{11},\frac{9}{11}$ is:
- ✓
$\frac{6}{1 1}$
- B
$\frac{7}{1 1}$
- C
$\frac{8}{1 1}$
- D
$\frac{9}{11}$
Answer: A.
View full solution →Assertion (A): $\frac{3}{7}$ is greater than $\frac{3}{5}$.
Reason (R): Among two fractions with the same numerator, the one with the smaller denominator is the greater of the two.
- A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
- C
Assertion (A) is true but Reason (R) is false.
- ✓
Assertion (A) is false but Reason (R) is true.
Answer: D.
View full solution →Assertion (A): Two fractions $\frac{20}{24}$ and $\frac{x}{12}$ are equivalent if $x=5$.
Reason (R): An equivalent fraction is obtained by multiplying or dividing both the numerator and denominator of the given fraction by the same nonzero number.
- A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
- C
Assertion (A) is true but Reason (R) is false.
- ✓
Assertion (A) is false but Reason (R) is true.
Answer: D.
View full solution →Assertion (A): $\frac{3}{4}$ and $\frac{5}{4}$ are like fractions.
Reason (R): The fractions having the same denominator are called like fractions.
- ✓
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
- C
Assertion (A) is true but Reason (R) is false.
- D
Assertion (A) is false but Reason (R) is true.
Answer: A.
View full solution →Assertion (A): $\frac{4}{3}$ is an improper fraction.
Reason (R): In an improper fraction, the numerator is always greater than the denominator.
- A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
- ✓
Assertion (A) is true but Reason (R) is false.
- D
Assertion (A) is false but Reason (R) is true.
Answer: C.
View full solution →Write $'T'$ for true and $'F'$ for false for the statement given below: $8-1\frac{5}{6}=7\frac{1}{6}$
View full solution →Write $'T'$ for true and $'F'$ for false for the statement given below: Among $\frac{1}{2},\frac{ 1}{3},\frac{ 3}{4},\frac{ 4}{3}$ the largest fractions is $\frac{ 4}{3}$.
View full solution →Write $'T'$ for true and $'F'$ for false for the statement given below:
$3\frac{1}{3}>\frac{33}{10}$
View full solution →Write $'T'$ for true and $'F'$ for false for the statement given below: $\frac{3}{5}$ lies between $3$ and $5.$
View full solution →Fill in the place holders with the correct symbol $ > $ or $ <:$
$\frac{4}{11}\ \Box\ \frac{4}{9}$
View full solution →Fill in the blank: $9\frac{2}{3}+\ .....\ =19$
View full solution →Fill in the place holders with the correct symbol > or <: $\frac{8}{11}\ \Box\ \frac{8}{13}$
View full solution →Fill in the place holders with the correct symbol > or <: $\frac{11}{14}\ \Box\ \frac{11}{15}$
View full solution →Fill in the place holders with the correct symbol > or <: $\frac{3}{4}\ \Box\ \frac{3}{5}$
View full solution →Write down the fractional number for the following:$\frac{1}{3}$
View full solution →Write six improper fractions with denominator $5$.
View full solution →Write down the fraction in which Numerator $= 3$, Denominator $= 8$
View full solution →Convert the following into an improper fraction: $12\frac{7}{15}$
View full solution →Write down the fraction in which Numerator $= 8$, Denominator $= 15$
View full solution →Find the difference: $6\frac{2}{3}-3\frac{3}{4}$
View full solution →Represent $2\frac{3}{5}$ on the number line.
View full solution →Represent the following fractions on the number line:
$\frac{4}{7}$
View full solution → Compare the fractions given below:
$\frac{5}{8},\frac{7}{12}$
View full solution →Convert the following into a mixed fraction:$\frac{62}{7}$
View full solution →Find the sum:
$3\frac{1}{3}+4\frac{1}{4}+6\frac{1}{6}$
View full solution →Convert $\frac{1}{4},\frac{5}{8},\frac{7}{12}$ and $\frac{13}{24}$ into like fractions.
View full solution →Find the sum:
$3\frac{2}{3}+1\frac{5}{6}+2$
View full solution →Lalita read $30$ pages of a book containing $100$ pages while Sarita read $\frac{2}{5}$ of the book. Who read more?
View full solution →In a school $20$ students out of $25$ passed in $VI A$, while $24$ out of $30$ passed in $VI B$. Which section gave better result?
View full solution →Arrange the following fractions in descending order:$\frac{3}{4},\frac{5}{8},\frac{11}{12}\ \text{and}\ \frac{17}{24}$
View full solution →Arrange the following fractions in ascending order:$\frac{1}{2},\frac{3}{4},\frac{5}{6}\ \text{and}\ \frac{7}{8}$
View full solution →Arrange the following fractions in ascending order:$\frac{2}{5},\frac{7}{10},\frac{11}{15}\ \text{and}\ \frac{17}{30}$
View full solution →Arrange the following fractions in descending order:$\frac{7}{9},\frac{5}{12},\frac{11}{18}\ \text{and}\ \frac{17}{36}$
View full solution →Arrange the following fractions in ascending order:$\frac{3}{4},\frac{7}{8},\frac{11}{16}\ \text{and}\ \frac{23}{32}$
View full solution →Mrs Dixit bought $5 \frac{1}{2}$ litres of milk. Out of this milk, she gave $3 \frac{1}{4}$ litres to her neighbour Mrs Kumar and gave the rest to her dog .
1. The quantity of milk (in litres) given to Mrs Kumar when written as an improper fraction is
(a) $\frac{8}{4}$$\quad$(b) $\frac{6}{4}$$\quad$(c) $\frac{11}{4}$$\quad$(d) $\frac{13}{4}$
2. What quantity of milk was given to the dog ?
(a) $2 \frac{1}{4}$$\quad$(b) $2 \frac{3}{4}$$\quad$(c) $3 \frac{1}{3}$$\quad$(d) $1 \frac{2}{3}$
3. Which is more ?
A. The quantity of milk given to Mrs Kumar
B. The quantity of milk given to the dog
(a) A
(b) B
(c) Cannot be compared as both are unlike fraction
(d) Cannot be compared as both are mised fractions
4. If Mrs Kumar already had 2 1/3 litres of milk, how much milk does she have now ?
(a) $5 \frac{1}{7}$$\quad$(b) $5 \frac{7}{12}$$\quad$(c) $5 \frac{1}{12}$$\quad$(d) $5 \frac{11}{12}$
View full solution →Abhay works for 8 hours every day. He sleeps for 6 hours and plays for 3 hours every da The rest of the day he spends on daily chores.
1. What fraction of a day does Abhay work ?
(a) $\frac{8}{16}$$\quad$(B) $\frac{1}{3}$$\quad$(c) $\frac{1}{2}$$\quad$(d) $\frac{8}{17}$
2. What fraction of a day does Abhay spend on daily chores ?
(a) $\frac{7}{9}$$\quad$(B) $\frac{7}{17}$$\quad$(c) $\frac{7}{24}$$\quad$(d) $\frac{7}{16}$
3. Find the sum of the fractions of a day Abhay spends on sleeping and playing ?
(a) $\frac{9}{15}$$\quad$(B) $\frac{3}{5}$$\quad$(c) $\frac{3}{8}$$\quad$(d) $\frac{9}{17}$
4. Which of the following fractions is equivalent to the fraction of a day spent by Abhay on sleeping ?
(a) $\frac{1}{2}$$\quad$(B) $\frac{6}{18}$$\quad$(c) $\frac{4}{24}$$\quad$(d) $\frac{3}{12}$
View full solution →