Important Questions for Class 6 Maths - Fractions

Q1: Find the missing entries in the tables:
Ans:

Q2: Express the following as mixed fracton: 19/6
Ans:


Q3: Find the equivalent fraction 3/5 having numerator 27.
Ans:


Q4:
Ans: 


Q5: Fill in the blanks:
There is a large box of 36 small square boxes.
(a) 1/2 of it is _____.
(b) 23 of it is _____.
(c) If I make a bench of 20 small boxes, the fraction becomes _____.
(d) _____ boxes are required if fraction is 5/6.
Ans: 


Q6: Write the fraction representing the shaded region in the given square.
Ans: Total part = 16, shaded part = 10, Fraction = 10/16.

Q7: What fraction of an hour is 45 minutes?
Ans: 

Q8: Which of the following is a smaller fraction?
4/5, 5/3, 5/6, 5/2
Ans: 4/5, 5/6 , 5/3 , 5/2 lcm of denominator(5, 6, 3, 2) = 30.

Q9: Show 10/10 on the number line.
Ans: 10/10 is 1 whole, which can be shown by the point 1.

Q10: Rewrite the fractions in the simplest form
(a) 8/6
(b) 44/72
Ans: 


Q11: Colour the part according to 3/4.
Ans: 3/4 means 3 parts out of 4 parts.
So, colour 3 parts out of 4 parts given.

Q12: State True or False:
(a) In 3/7, 3 is the part of whole.
(b) On a number line, 2/7 is to the right of zero.
(c) 2/5 is smaller than 1/5.
(d) 28/45 and 3/5 represent equivalent fractions.
Ans: (a) True
In the fraction, 3/7, numerator is 3 and denominator is 7, which means that a unit has been divided into 7 equal parts out of which 3 parts have been taken into account.
(b) True
All positive fractions are greater than zero and lies to the right of zero.
(c) False
When denominators are same in two fractions, the fraction with the greater numerator is greater than the other fraction.
Here, in the fractions 25 and 15, denominators are same and in the numerators 2 and 1, 2 is greater than 1.
So, 25 > 15
(d) False
In the fractions, 28/45 and 35 comparing their cross products,
28 × 5 = 140 and 45 × 3 = 135, we observe that they are not equal.
Hence, 28/45 and 3/5 are not equivalent fractions.

Q13: Match the following:
Ans: (a) → (iv)
4 parts are shaded out of 5 parts.
Therefore, the shaded portion = 4/5.
(b) → (i)
5 parts are shaded out of 9 parts.
Therefore, the shaded portion = 5/9.
(c) → (ii)
3 parts are shaded out of 6 parts.
Therefore, the shaded portion
(d) → (iii)
1 part is shaded out of 3 parts.
Therefore, the shaded portion = 1/3

Q14: 17/101 ____ 12/101
Ans: denominator is 101 so 17/101 > 12/101.

Q15: Express as mixed fraction16/9.
Ans: 16 ÷ 9 quotient is 1 which is a whole number and remainder is 7 which is a numerator of a proper fraction and denominator of proper fraction is 9 so mixed fraction = 1 x 7/9.