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Fractions Class 6 Worksheet

Fractions Class 6 Worksheet contains 21 MCQ questions. Answers to Fractions Class 6 Worksheet are available after clicking on the answer. Maths Worksheets for Class 6 help to check the concept you have learnt from detailed classroom sessions and application of your knowledge.

Category	Maths Worksheets for Class 6
Subject	Maths
Chapter	Fractions

Fractions Class 6 Worksheet

1. Is $\cfrac{7}{5}$ is a proper fraction?
a) Yes
b) No

Answer

Answer: b) No

Explanation
Proper fraction is a fraction which represents the part of whole number. In proper fraction numerator is always less than its denominator.
In generalise form for any two integer ‘a’ and ‘b’
a/b where (a < b)
i.e Numerator < Denominator
Numerator = 7
Denominator = 5
Here 7 > 5
i.e, Numerator > Denominator
Hence, $\cfrac{7}{5}$ is not a proper fraction

2. Is $\cfrac{17}{9}$ is a improper fraction?
a) Yes
b) No

Answer

Answer: a) Yes

Explanation
Improper fractions are the combination of whole number and a proper fraction. Improper fraction is opposite of proper fraction, since in improper fraction numerator is greater than its denominator
In generalise form for any two integer ‘a’ and ‘b’
a/b where (a > b)
i.e Numerator > Denominator
Numerator = 17
Denominator = 9
Here, 17 > 9
i.e, Numerator > Denominator
Hence, $\cfrac{17}{9}$ is an improper fraction

3. Are the following fractions are like fractions or unlike fractions?
$\cfrac{4}{5}$ , $\cfrac{5}{6}$ and $\cfrac{6}{7}$

a) Like Fractions
b) Unlike Fractions

Answer

Answer: b) No

Explanation
In case of Like Fraction, the denominator of the fractions are the same.
While, In case of Unlike Fraction denominator of the fractions are not same.
In the present case, the given fractions are
$\cfrac{4}{5}$ , $\cfrac{5}{6}$ and $\cfrac{6}{7}$
Since the Denominator in the present cases are 5 , 6 , 7 which are not same. So, the given fractions are Unlike Fractions

4. Convert $\cfrac{70}{30}$ into its simplest form?
a) $\cfrac{10}{3}$
b) $\cfrac{6}{3}$
c) $\cfrac{9}{3}$
d) $\cfrac{7}{3}$

Answer

Answer: d) $\cfrac{7}{3}$

Explanation
Taking HCF of 70 and 30 is 10
Divide numerator and denominator by their HCF i.e, 10
$\cfrac{70\div 10}{30\div 10}$ = $\cfrac{7}{3}$

5. Convert the fraction $3\cfrac { 2 }{ 3 }$ into an improper fraction?
a) $\cfrac { 12 }{ 5 }$
b) $\cfrac { 11 }{ 3 }$
c) $\cfrac { 10 }{ 3 }$
d) $\cfrac { 13 }{ 3 }$

Answer

Answer: b) $\cfrac { 11 }{ 3 }$

Explanation
3 $\cfrac { 2 }{ 3 }$ “means” Quotient $\cfrac { Remainder }{ Divisor }$
So, to change mixed fraction into an improper fraction $\cfrac { \left( Quotient\times Divisor \right) +Remainder }{ Divisor }$
= $\cfrac {\left( 3\times 3 \right) + 2 }{ 3 }$
= $\cfrac { 9 + 2 }{ 3 }$
= $\cfrac { 11 }{ 3 }$

6. Convert $\cfrac{5}{2}$ into mixed fraction?
a) 2 $\cfrac { 2 }{ 2 }$
b) 3 $\cfrac { 1 }{ 2 }$
c) 2 $\cfrac { 1 }{ 2 }$
d) 3 $\cfrac { 2 }{ 2 }$

Answer

Answer: c) 2 $\cfrac { 1 }{ 2 }$

Explanation
On dividing 5 by 2
We get Quotient = 2
Remainder = 1
For a mixed fraction we have to write: $Quotient + \cfrac{Remainder}{Divisor}$
So, the mixed fraction is 2 + $\cfrac{1}{2}$ = 2 $\cfrac { 1 }{ 2 }$

7. What fraction of a day is 7 hours ?
a) $\cfrac{1}{7}$
b) $\cfrac{24}{7}$
c) $\cfrac{7}{24}$
d) $\cfrac{1}{24}$

Answer

Answer: c) $\cfrac{7}{24}$

Explanation
As, we know that 1 day = 24 hours
So, the required fraction is $\cfrac{7}{24}$ $\cfrac{hours}{hours}$ = $\cfrac{7}{24}$

8. Find: $\cfrac{5}{9}$ of 2
a) $\cfrac{8}{9}$
b) $\cfrac{11}{9}$
c) $\cfrac{10}{9}$
d) $\cfrac{12}{9}$

Answer

Answer: c) $\cfrac{10}{9}$

Explanation
In this question ‘of’ means to multiply
When any fractions either proper or improper are multiplied with a whole number, the numerators are multiplied with whole number and the denominator will remains the same.
So, $\cfrac{5}{9}$ x 2
= $\cfrac{5}{9}$ x 2
= $\cfrac{10}{9}$
So, the answer is $\cfrac{10}{9}$

9. Are $\cfrac{2}{5}$ and $\cfrac{10}{25}$ equivalent fraction ?
a) Yes
b) No

Answer

Answer: a) Yes

Explanation
Cross Multiplying $\cfrac{2}{5}$ and $\cfrac{10}{25}$
2 x 25 = 50
and
10 x 5 = 50
Since,
2 x 25 = 10 x 5
Hence, Value of $\cfrac{2}{5}$ = $\cfrac{10}{25}$ on cross multiplication, they are equivalent fraction.

10. Find the four fractions equivalent to $\cfrac{4}{3}$

a) $\cfrac{5}{3}$ , $\cfrac{6}{3}$ , $\cfrac{7}{3}$ , $\cfrac{8}{3}$
b) $\cfrac{8}{9}$ , $\cfrac{12}{12}$ , $\cfrac{16}{15}$ , $\cfrac{20}{18}$
c) $\cfrac{8}{6}$ , $\cfrac{12}{9}$ , $\cfrac{16}{12}$ , $\cfrac{20}{15}$

Answer

Answer: c) $\cfrac{8}{6}$ , $\cfrac{12}{9}$ , $\cfrac{16}{12}$ , $\cfrac{20}{15}$

Explanation
To get a fraction equivalent to a given fraction, we multiply or divide the numerator and the denominator of the given fraction by the same number (except 0 or 1)
$\cfrac { 4\times 2 }{3\times 2}$ = $\cfrac{8}{6}$
$\cfrac { 4\times 3 }{3\times 3}$ = $\cfrac{12}{9}$
$\cfrac { 4\times 4 }{3\times 4}$ = $\cfrac{16}{12}$
$\cfrac { 4\times 5 }{3\times 5}$ = $\cfrac{20}{15}$
Hence, the four equivalent fractions of $\cfrac{4}{3}$ are $\cfrac{8}{6}$ , $\cfrac{12}{9}$ , $\cfrac{16}{12}$ , $\cfrac{20}{15}$

11. Write a fraction equivalent to $\cfrac{5}{2}$ with numerator 25.
a) $\cfrac{25}{8}$
b) $\cfrac{25}{10}$
c) $\cfrac{25}{12}$
d) $\cfrac{10}{25}$

Answer

Answer: b) $\cfrac{25}{10}$

Explanation
Numerator of $\cfrac{5}{2}$ = 5
Numerator 5 has changed to 25
In other words it has become $\cfrac{25}{5}$ or 5 times of numerator of first number
So in order to obtain equivalent fraction Denominator of first fraction has to be multiplied with 5 to write an equivalent fraction
So, the denominator of new equivalent fraction = 2 x 5 = 10
Hence, the new equivalent fraction is $\cfrac{25}{10}$

12. Find a fraction equivalent to $\cfrac{6}{7}$ with denominator 35 ?
a) $\cfrac{24}{35}$
b) $\cfrac{36}{35}$
c) $\cfrac{30}{35}$
d) $\cfrac{35}{30}$

Answer

Answer: c) $\cfrac{30}{35}$

Explanation
Denominator of $\cfrac{6}{7}$ = 35
Denominator 7 has changed to 35
In other words it has become $\cfrac{35}{7}$ or 5 times of denominator of first number
So in order to obtain equivalent fraction Numerator of first fraction has to be multiplied with 5 to write an equivalent fraction
So, the numerator of new equivalent fraction = 6 x 5
= 30
Hence, the new equivalent fraction is $\cfrac{30}{35}$

13. Fill the missing number to make two Fractions equivalent ?
$\cfrac{1}{5}$ = $\cfrac{}{15}$
a) 3
b) 5

Answer

Answer: a) 3

Explanation
Denominator of $\cfrac{1}{5}$ = 5
Denominator 5 has changed to 15
In other words it has become $\cfrac{15}{5}$ or 3 times of denominator of first number
So in order to obtain the Missing number, Numerator of first fraction has to be multiplied with 3
Hence, the missing number is 1 x 3 = 3

14. Compare the fractions:
$\cfrac{6}{7}$ and $\cfrac{5}{9}$
a) $\cfrac{6}{7}$ > $\cfrac{5}{9}$
b) $\cfrac{6}{7}$ < $\cfrac{5}{9}$
c) $\cfrac{6}{7}$ = $\cfrac{5}{9}$

Answer

Answer: a) $\cfrac{6}{7}$ > $\cfrac{5}{9}$

Explanation
On Cross multiplying $\cfrac{6}{7}$ and $\cfrac{5}{9}$
We multiply 6 x 9 = 54
Similarly, we multiply 7 x 5 = 35
Since, 54 > 35
Hence,
$\cfrac{6}{7}$ > $\cfrac{5}{9}$

15. Of $\cfrac{5}{7}$ and $\cfrac{6}{5}$ ,which is greater and by how much?
a) $\cfrac{5}{7}$ < $\cfrac{6}{5}$ by $\cfrac{17}{35}$
b) $\cfrac{5}{7}$ > $\cfrac{6}{5}$ by $\cfrac{19}{35}$
c) $\cfrac{5}{7}$ < $\cfrac{6}{5}$ by $\cfrac{19}{35}$
d) $\cfrac{5}{7}$ > $\cfrac{6}{5}$ by $\cfrac{17}{35}$

Answer

Answer: a) $\cfrac{5}{7}$ < $\cfrac{6}{5}$ by $\cfrac{17}{35}$

Explanation
Let us compare $\cfrac{5}{7}$ and $\cfrac{6}{5}$
5 x 5 = 25 and 7 x 6 = 42
Clearly, 25 < 42
Since, $\cfrac{5}{7}$ < $\cfrac{6}{5}$
Difference = $\cfrac{6}{5}$ – $\cfrac{5}{7}$
To find the difference of unlike fraction
Firstly, we have to change the unlike fraction into equivalent like fraction and then subtract
Take LCM of 5 and 7 = 35
To change the unlike fraction into equivalent like fraction
We have to multiply $\cfrac{6 }{5}$ by 7
$\cfrac { 6\times 7 }{5\times 7}$ = $\cfrac{42}{35}$
We have to multiply $\cfrac{5 }{7}$ by 5
$\cfrac { 5\times 5 }{7\times 5}$ = $\cfrac{25}{35}$
Since, $\cfrac{42}{35}$ – $\cfrac{25}{35}$ = $\cfrac{17}{35}$
Hence, $\cfrac{5}{7}$ < $\cfrac{6}{5}$ by $\cfrac{17}{35}$

16. Convert the fraction as like fraction $\cfrac{4}{3}$ and $\cfrac{3}{4}$
a) $\cfrac{17}{12}$ and $\cfrac{8}{12}$
b) $\cfrac{16}{12}$ and $\cfrac{9}{12}$
c) $\cfrac{4}{4}$ and $\cfrac{3}{4}$
d) $\cfrac{4}{12}$ and $\cfrac{3}{12}$

Answer

Answer: b) $\cfrac{16}{12}$ and $\cfrac{9}{12}$

Explanation
Step1: Find LCM of the denominators.
LCM of 3 and 4 is 12
Step 2: Divide the LCM by the denominators of the given fractions
$\cfrac{12 \div 3 }{12 \div 4 }$ = $\cfrac{4}{3}$
Step 3: Multiply the quotient by the numerator and keep denominator equal to the LCM. i.e.
$\cfrac{4 \times 4 }{12}$ = $\cfrac{16}{12}$
$\cfrac{3 \times 3 }{12}$ = $\cfrac{9}{12}$
So, $\cfrac{16}{12}$ and $\cfrac{9}{12}$ are like fractions

17. Find the sum : $\cfrac{2}{3}$ + $\cfrac{5}{3}$
a) $\cfrac{7}{3}$
b) $\cfrac{4}{3}$
c) $\cfrac{5}{3}$
d) $\cfrac{8}{3}$

Answer

Answer: a) $\cfrac{7}{3}$

Explanation
Sum of like Fraction = $\cfrac { Sum\quad of\quad their\quad numerators }{ Common\quad denominator }$
= $\cfrac{2+5}{3}$
= $\cfrac{7}{3}$
Hence, the sum of $\cfrac{2}{3}$ and $\cfrac{5}{3}$ is $\cfrac{7}{3}$

18. Find the sum : $\cfrac{2}{5}$ and $\cfrac{3}{7}$
a) $\cfrac{5}{35}$
b) $\cfrac{27}{35}$
c) $\cfrac{29}{35}$
d) $\cfrac{28}{35}$

Answer

Answer: c) $\cfrac{29}{35}$

Explanation
To add unlike fraction
Firstly, we have to convert the unlike fraction into equivalent like fraction and then add
Take LCM of 5 and 7 is 35
To convert the unlike fraction into equivalent like fraction
We have to multiply $\cfrac{2}{5}$ by 7
$\cfrac { 2\times 7 }{5\times 7}$ = $\cfrac{14}{35}$
We have to multiply $\cfrac{3}{7}$ by 5
$\cfrac { 3\times 5 }{7\times 5}$ = $\cfrac{15}{35}$
Since, $\cfrac{14}{35}$ + $\cfrac{15}{35}$ = $\cfrac{29}{35}$
Hence, the sum of $\cfrac{2}{5}$ and $\cfrac{3}{7}$ = $\cfrac{29}{35}$

19. Find the sum of 1 $\cfrac { 2 }{ 7 }$ + 4 $\cfrac { 1 }{ 3 }$
a) 7 $\cfrac { 3 }{ 21 }$
b) 4 $\cfrac { 15 }{ 21 }$
c) 5 $\cfrac { 13 }{ 21 }$
d) 6 $\cfrac { 4 }{ 21 }$

Answer

Answer: c) 5 $\cfrac { 13 }{ 21 }$

Explanation
1 $\cfrac { 2 }{ 7 }$ + 4 $\cfrac { 1 }{ 3 }$
= $\cfrac {\left( 1\times 7 \right) + 2 }{ 7 }$ + $\cfrac {\left( 4\times 3 \right) + 1 }{ 3 }$
= $\cfrac { 7 + 2 }{ 7 }$ + $\cfrac { 12 + 1 }{ 3 }$
= $\cfrac{9}{7}$ + $\cfrac{13}{3}$
Take LCM of 7 and 3 which is equal to 21
To convert the unlike fraction into equivalent like fraction
We have to multiply $\cfrac { 9 }{ 7 }$ by 3
$\cfrac { 9\times 3 }{7\times 3}$ = $\cfrac{27}{21}$
We have to multiply $\cfrac { 13 }{ 3 }$ by 7
$\cfrac { 13\times 7 }{3\times 7}$ = $\cfrac{91}{21}$
Since, $\cfrac{27}{21}$ + $\cfrac{91}{21}$ = $\cfrac{118}{21}$ = 5 $\cfrac { 13 }{ 21 }$
Hence, the sum is 5 $\cfrac { 13 }{ 21 }$

20. Find the difference : $\cfrac{5}{3}$ – $\cfrac{1}{3}$
a) $\cfrac{2}{3}$
b) $\cfrac{5}{3}$
c) $\cfrac{6}{3}$
d) $\cfrac{4}{3}$

Answer

Answer: d) $\cfrac{4}{3}$

Explanation

Difference of like fraction = $\cfrac { Difference\quad of\quad their\quad numerators }{ Common\quad denominator }$
= $\cfrac{5-1}{3}$
= $\cfrac{4}{3}$
So, the difference of $\cfrac{5}{3}$ and $\cfrac{1}{3}$ is $\cfrac{4}{3}$

21. Find the difference : $\cfrac{7}{6}$ and $\cfrac{7}{12}$
a) $\cfrac{8}{12}$
b) $\cfrac{7}{12}$
c) $\cfrac{6}{12}$
d) $\cfrac{9}{12}$

Answer

Answer: b) $\cfrac{7}{12}$

Explanation
To find the difference of unlike fraction
Firstly, we have to change the unlike fraction into equivalent like fraction and then subtract
Take LCM of 6 and 12 is 12
To change the unlike fraction into equivalent like fraction
We have to multiply numerator and denominator of $\cfrac{7}{6}$ by 2
$\cfrac { 7\times 2 }{6\times 2}$ = $\cfrac{14}{12}$
We have to multiply numerator and denominator of $\cfrac{7}{12}$ by 1
$\cfrac { 7\times 1 }{12\times 1}$ = $\cfrac{7}{12}$
Since, $\cfrac{14}{12}$ – $\cfrac{7}{12}$ = $\cfrac{7}{12}$
So, the answer is $\cfrac{7}{12}$

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