MCQ Questions on Fractions for Class 6

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 generalize form for any two integer ‘a’ and ‘b’

a/b where (a < b)

i.e., Numerator < Denominator Numerator = 10 Denominator = 9

Here 10 > 9

i.e., Numerator > Denominator

Hence, 10/9 is not a proper fraction.

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 generalize form for any two integer ‘a’ and ‘b’

a/b where (a > b)

i.e., Numerator > Denominator

Numerator = 13

Denominator = 7

Here, 13 > 7

i.e., Numerator > Denominator

Hence, 13/7 is an improper fraction

Answer: (a) Like fractions

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

4/13 , 5/13 and 6/13

Since, the Denominator in the present cases is 13 , which is the same for all fractions, the given fractions are Like Fractions.

Answer: (b) Unlike fractions

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

6/11 , 5/12 and 6/13

Since, the Denominator in the present cases are 11 , 12 , 13 which are not same. So, the given fractions are Unlike Fractions.

Answer: (c) 5/18

Explanation: Taking HCF of 25 and 90 is 5

Divide numerator and denominator by their HCF i.e., 5

(25÷5)/(90÷5) = 5/18

Answer: (a) 25/11

Explanation: 2(3/11) “means” Quotient(Remainder/Divisor)

So, to change mixed fraction into an improper fraction

((Quotient× Divisor)+Remainder)/Divisor

= ((2×11)+3)/11

=(22+3)/11

=25/11

Answer: (c) 3(1/4)

Explanation: On dividing 13 by 4

We get Quotient = 3

Remainder = 1

For a mixed fraction we have to write: (Quotient + Remainder)/Divisor
So, the mixed fraction is 3 + (1/4) = 3(1/4)

Answer: (d) 15/24

Explanation: As, we know that 1 day = 24 hours

So, the required fraction is (15 hours)/24 hours = 15/24

Answer: (a) 6/11

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, (3/11) x 2

= (3/11) x 2

= 6/11

So, the answer is 6/11.

Answer: (a) Yes

Explanation: Cross Multiplying 8/7 and 48/42

8 x 42 = 336

and

48 x 7 = 336

Since,

8 x 42 = 48 x 7

Hence, Value of 8/7 =48/42 on cross multiplication, they are equivalent fraction

Answer: (b) 18/14, 27/21, 36/28, 45/35
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)

(9×2)/(7×2) = 18/14

(9×3)/(7×3) = 27/21

(9×4)/(7×4) = 36/28

(9×5)/(7×5) = 45/35

Hence, the four equivalent fractions of 9/7 are 18/14 , 27/21 , 36/28 , 45/35

Answer: (d) 21/18

Explanation: Numerator of 7/6 = 7

Numerator 7 has changed to 21

In other words it has become 21/7 or 3 times of numerator of first number

So, in order to obtain equivalent fraction Denominator of first fraction has to be multiplied with 3 to write an equivalent fraction

So, the denominator of new equivalent fraction = 6 x 3

Hence, the new equivalent fraction is 21/18.

Answer: (d) 40/28

Explanation: Denominator of 10/7 = 28

Denominator 7 has changed to 28

In other words it has become 28/7 or 4 times of denominator of first number

So in order to obtain equivalent fraction Numerator of first fraction has to be multiplied with 4 to write an equivalent fraction

So, the numerator of new equivalent fraction = 10 x 4

= 40

Hence, the new equivalent fraction is 40/28

Answer: (a) 40

Explanation: Numerator of 6/5 = 6

Numerator 6 has changed to 48

In other words it has become 48/6 or 8 times of numerator of first number

So in order to obtain the Missing number, Denominator of first fraction has to be multiplied with 8

Hence, the missing number is 5 x 8 = 40

Answer: (b) 3/9 < 4/7

Explanation: On Cross multiplying 3/9 and 4/7

We multiply 3 x 7 = 21

Similarly, we multiply 9 x 4 = 36

Since, 21 < 36

Hence,
3/9 < 4/7

Answer: (b) 9/15 >11/20 by 3/60

Explanation: Let us compare 9/15 and 11/20

9 x 20 = 180 and 11 x 15 = 165

Clearly, 180 > 165

Since, 9/15 > 11/20

Difference = 9/15 – 11/20

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 15 and 20 = 60

To change the unlike fraction into equivalent like fraction

We have to multiply 9/15 by 4

(9×4)/(15×4) = 36/60

We have to multiply 11/20 by 3

(11×3)/(20×3) = 33/60

Since, 36/60 – 33/60 = 3/60

Answer: (a) 21/35 and 10/35

Explanation: Step1: Find LCM of the denominators.

LCM of 5 and 7 is 35

Step 2: Divide the LCM by the denominators of the given fractions

(35÷5)/(35÷7) = 7/5

Step 3: Multiply the quotient by the numerator and keep denominator equal to the LCM. i.e.

(7×3)/35 = 21/35

(5×2)/35 = 10/35

So, 21/35 and 10/35 are like fractions

Answer: (b) 6/7

Explanation: Sum of like Fraction = (Sum of their numerators)/Common denominator

= (2+4)/7

= 6/7

Hence, the sum of 2/7 and 4/7 is 6/7

Answer: (b) 5/6

Explanation: To add unlike fraction

Firstly, we have to convert the unlike fraction into equivalent like fraction and then add

Take LCM of 12 and 6 is​ 12

To convert the unlike fraction into equivalent like fraction

We have to multiply 4/12 by 1

(4×1)/(12×1) = 4/12

We have to multiply 3/6by 2

(3×2)/(6×2) = 6/12

Since, (4/12)+ (6/12) = 10/12

On Simplifying,

HCF of 10 and 12 is 2

Since, both numerator and denominator are divide by their HCF i.e.,

(10÷2)/(12÷2) = 5/6

Hence, the sum of 4/12 and 3/6= 5/6

Answer: (d) 4(7/12)

Explanation: 3(1/4) + 1(4/12)

= ((3×4)+1)/4 + ((1×12)+4)12

=(12+1)/4 + (12+4)/12

= (13/4)+ (16/12)

Take LCM of 4 and 12 which is equal to 12

To convert the unlike fraction into equivalent like fraction

We have to multiply 13/4 by 3

(13×3)/(4×3) = 39/12

We have to multiply 1612 by 1

(16×1)/(12×1) = 16/12

Since, (39/12)+ (16/12) = 55/12 = 4(7/12)

Hence, the sum is 4(7/12)

Answer: (c) 2/5

Explanation: Difference of like fraction = (Difference of their numerators)/ (Common/denominator)

= (3−1)/5

= 2/5

So, the difference of 3/5 and 1/5 is 2/5

Answer: (c) 17/63

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 7 and 9 which is 63

To change the unlike fraction into equivalent like fraction

We have to multiply numerator and denominator of 5/7 by 9

(5×9)/(7×9) = 45/63

We have to multiply numerator and denominator of 4/9 by 7

(4×7)/(9×7) = 28/63

Since, (45/63) – (28/63) = 17/63

So, the answer is 17/63