Fractions Class 6 RS Aggarwal Exe-4A Equivalent Fraction Goyal Brothers ICSE Maths Solutions. We provide step by step Solutions of ICSE Class-6 Foundation RS Aggarwal Mathematics of Goyal Brothers Prakashan. Visit official Website CISCE for detail information about ICSE Board Class-6 Mathematics.
Fractions Class 6 RS Aggarwal Exe-4A Equivalent Goyal Brothers ICSE Maths Solutions
| Board | ICSE |
| Publications | Goyal brothers Prakashan |
| Subject | Maths |
| Class | 6th |
| Ch-4 | Fraction |
| Writer | RS Aggrawal |
| Book Name | Foundation |
| Topics | Solution of Exe-4A |
| Academic Session | 2023 – 2024 |
Equivalent Fraction
Fractions Class 6 RS Aggarwal Exe-4A Goyal Brothers ICSE Maths Solutions.
Page- 62, 63
Que:-1: What fractions do the shaded parts in each of the following figures represent ?
Solution- (i) 5/8
(ii) 7/12
(iii) 2/7
Que-2: Write a fraction for each of the following :
(i) 4 parts out of 9 equal parts (ii) 5 parts out of 11 equal parts
(iii) two-fifths (iv) four-sevenths
(v) seven-tenths (vi) six-eighths
Solution- (i) 4/9
(ii) 5/11
(iii) 2/5
(iv) 4/7
(v) 7/10
(vi) 6/8
Que-3: Point the numerator and denominator in each of the following fractions:
(i) 5/6 (ii) 3/7 (iii) 9/14
(iv) `1/20 (v) 12/25
Solution- (i) numerator = 5, denominator = 6
(ii) numerator = 3, denominator = 7
(iii) numerator = 9, denominator = 14
(iv) numerator = 1, denominator = 20
(v) numerator = 12, denominator = 25
Que-4: Write five fractions equivalent to each of the following :
(i) 2/3 (ii) 3/4 (iii) 5/6
(iv) 7/9 (v) 3/14
Solution- (i) 4/6, 6/9, 8/12, 10/15, 12/18
(ii) 6/8, 9/12, 12/16, 15/20, 18/24
(iii) 10/12, 15/18, 20/24, 25/30, 30/36
(iv) 14/18, 21/27, 28/36, 35/45, 42/54
(v) 6/28, 9/42, 12/56, 15/70, 18/84
Que-5: Which of the following are the pairs of equivalent fractions ?
(i) 4/5 and 24/30 (ii) 6/8 and 18/24 (iii) 9/16 and 3/4
(iv) 8/12 and 14/21 (v) 7/11 and 21/32 (vi) 5/12 and 35/84
Solution- (i), (ii), (iv), (vi) are the pairs of equivalent fractions.
Que-6: Write an equivalent fraction of :
(i) 4/5 with numerator 32 (ii) 7/9 with numerator 42
(iii) 3/7 with denominator 63 (iii) 10/13 with denominator 78
Solution- (i) 4/5 x 8/8 = 32/40
(ii) 7/9 x 6/6 = 42/54
(iii) 3/7 x 9/9 = 27/63
(iv) 10/13 x 6/6 = 60/78
Que-7: Write an equivalent fraction of :
(i) 32/48 with numerator 2 (ii) 21/28 with numerator 3
(iii) 24/56 with denominator 7 (iv) 121/132 with denominator 12
Solution- (i) The greatest common divisor (GCD) of 32 and 48 is 16.
32/48 = (32÷16)/(48÷16) = 2/3
(ii) 21/28 ÷ 7/7 = 3/4
(iii) 24/56 ÷ 8/8 = 3/7
(iv) 121/132 ÷ 11/11 = 11/12
Que-8: Write an equivalent fraction of :
(i) 45/54 with numerator 20.
(ii) 75/90 with denominator 42.
Solution- (i) You can divide both the numerator and the denominator by their greatest common divisor, which is 9:
45/54 = (45÷9)/(54÷9) = 5/6
Now, we need to find a fraction with a numerator of 20. To do this, we’ll multiply both the numerator and the denominator of 5/6 by 4:
5/6 × 4/4 = 20/24
(ii) 75/90 ÷ 15/15 = 5/6
Now, to change the denominator to 42, you need to find a common multiple of 6 and 42. The least common multiple (LCM) of 6 and 42 is 42.
Now, multiply both the numerator and denominator by the appropriate factor to get the denominator to be 42:
5/6 × 7/7 = 35/42
Que-9: Write the missing numerals in the place-holders :
(i) 4/9 = (…..)/63 (ii) 3/4 = 18/(……)
(iii) 42/70 = 3/(……) (iv) 52/78 = (……)/6
Solution- (i) First, observe that 63 is 7 times 9. So, to get a denominator of 63, multiply both the numerator and the denominator of 4994 by 7:
4/9 × 7/7 = 28/63
So, the missing numerator is 28.
(ii) Let the missing number be x
3/4 = 18/x
x = (18 X 4)/3
x = 6 X 4 = 24
(iii) Let the missing number be x
42/70 = 3/x
x = (70 X 3)/42
x = 5
(iv) Let the missing number be x
52/78 = x/6
x = (52 X 6)78
x = 4
Que-10: What fraction of an hour is 25 minutes ?
Solution- So, to express 25 minutes as a fraction of an hour:
Fraction of an hour = (Number of minutes)/(Total minutes in an hour)
Fraction of an hour = 25/60.
Que-11: What fraction of a day in 9 hours ?
Solution-So, to express 9 hours as a fraction of a day:
Fraction of a day = (Number of hours)/Total hours in a day)
Fraction of a day = 9/24
— : end of Fractions Class 6 RS Aggarwal Exe-4A Equivalent Fraction Goyal Brothers Publication :–
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