27
and 3 is a dash
fraction.
Answers
Answer:
Step-by-step explanation:
(i) The given figure represents 2 shaded parts out of 4 equal parts.
So, the fraction = 2/4
(ii) The given figure represents 8 shaded parts out of 9 equal parts.
So, the fraction = 8/9
(iii) The given figure represents 4 shaded parts out of 8 equal parts.
So, the fraction = 4/8
(iv) The given figure represents 1 shaded part out of 4 equal parts.
So, the fraction = 1/4
(v) The given figure represents 3 shaded parts out of 7 equal parts.
So, the fraction = 3/7
(vi) The given figure represents 3 shaded parts out of 12 equal parts.
So, the fraction = 3/12
(vii) The given figure represents 10 shaded parts out of 10 equal parts.
So, the fraction = 10/10
(viii) The given figure represents 4 shaded parts out of 9 equal parts.
So, the fraction = 4/9
(ix) The given figure represents 4 shaded parts out of 8 equal parts.
So, the fraction = 4/8
(x) The given figure represents 1 shaded part out of 2 equal parts.
So, the fraction = 1/2
Question 2:
Colour the part according to the given fraction:
Answer:
(i) 1/6 means we have to colour one part out of 6 parts in the given figure.
(ii) 1/4 means we have to colour one part out of 4 parts in the given figure.
(iii) 1/3 means we have to colour one part out of 3 parts in the given figure.
(iv) 3/4 means we have to colour three parts out of 4 parts in the given figure.
(v) 4/9 means we have to colour four parts out of 9 parts in the given figure.
each one of them.
(b) The part of a sandwich each boy will receive = 1 * (1/3) = 1/3
bers = 5/11
Question 9:
Write the natural numbers from 102 to 113. What fraction of them are prime numbers?
Answer:
Natural numbers from 102 to 113:
102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113
Prime numbers from 102 to 113:
103, 107, 109, 113
Hence fraction of prime numbers = 4/12 = 1/3
(c) 2/5, 3/5, 8/5, 4/5
Yes, all of these fractions are equivalent.
(b) 4/12, 3/9, 2/6, 1/3, 6/15
Now, 4/12 = 1/3, 3/9 = 1/3, 2/9 = 1/3, 6/15 = 2/5
So, these fractions are not equivalent.
Question 2:
Write the fraction and pair up the equivalent fractions to each row:
Class_6_Fractions_Shaded_Portion6
Class_6_Fractions_Shaded_Portion6
Answer:
(a) 1/2 (ii) 4/8 = 1/2
(b) 4/6 = 2/3 (iv) 8/12 = 2/3
(c) 3/9 = 1/3 (i) 6/18 = 1/3
(d) 2/8 = 1/4 (v) 4/16 = 1/4
(e) 3/4 (iii) 12/16 = 3/4
Question 3:
Replace in each of the following by the correct number:
(a) 2/7 = 8/ Class_6_Fractions_Reactangle (b) 5/8 = 10/ Class_6_Fractions_Reactangle (c) 3/5 = Class_6_Fractions_Reactangle /20
(d) 45/60 = 15/ Class_6_Fractions_Reactangle (e) 18/24 = Class_6_Fractions_Reactangle /4
Answer:
(a) 2/7 = (2*4)/(7*4) = 8/ Class_6_Fractions_28 (b) 5/8 = (5*2)/(8*2)= 10/Class_6_Fractions_3
(c) 3/5 = (3*4)/(5*4) = Class_6_Fractions_12 /20
(d) 45/60 = (45/3)/(60/3) = 15/Class_6_Fractions_20 (e) 18/24 = (18/6)/(24/6) = Class_6_Fractions_3/4
Question 4:
Find the equivalent fraction of 3/5 having:
(a) denominator 20 (b) numerator 9 (c) denominator 30 (d) numerator 27
Answer:
(a) 3/5 = (3*4)/(5*4) = 12/20 (b) 3/5 = (3*3)/(5*3) = 9/15
(a) 3/5 = (3*6)/(5*6) = 18/30 (a) 3/5 = (3*9)/(5*9) = 27/45
Question 5:
Find the equivalent fraction of 36/48 with:
(a) numerator 9 (b) denominator 4
Answer:
(a) 36/48 = (36/4)/(48/4) = 9/12
(b) 36/48 = (36/12)/(48/12) = 3/4
Question 6:
Check whether the given fractions are equivalent:
(a) 5/9, 30/54 (b) 3/10, 12/50 (c) 7/13, 5/11
Answer:
(a) 5/9, 30/54 = (5*6)/(9*6), 30/54 = 30/54, 30/54
So, 5/9, 30/54 are equivalent fractions.
(b) 3/10, 12/50 = (3*5)/(10*5), 12/50 = 15/50, 12/50
So, 3/10, 12/50 are not equivalent fractions.
(a) 7/13, 5/11 = (7*11)/(13*11), (5*13)/(11*13) = 77/143, 65/143
So, 7/13, 5/11 are not equivalent fractions.
Question 7:
Reduce the following fractions to simplest form:
(a) 48/60 (b) 150/60 (c) 84/98 (d) 12/52 (e) 7/28
Answer:
(a) 48/60 = 4/5 {48 and 60 are divided by 12}
(b) 150/60 = 5/2 {150 and 60 are divided by 30}
(c) 84/98 = 6/7 {84 and 98 are divided by 14}
(d) 12/52 = 3/13 {12 and 52 are divided by 4}
(e) 7/28 = 1/4 {7 and 28 are divided by 7}